xref: /petsc/src/ts/tutorials/ex11.c (revision 45480ffeba491aca5d3f3b8c78679069fb317d32) 
1c4762a1bSJed Brown static char help[] = "Second Order TVD Finite Volume Example.\n";
2c4762a1bSJed Brown /*F
3c4762a1bSJed Brown 
4c4762a1bSJed Brown We use a second order TVD finite volume method to evolve a system of PDEs. Our simple upwinded residual evaluation loops
5c4762a1bSJed Brown over all mesh faces and uses a Riemann solver to produce the flux given the face geometry and cell values,
6c4762a1bSJed Brown \begin{equation}
7c4762a1bSJed Brown   f_i = \mathrm{riemann}(\mathrm{phys}, p_\mathrm{centroid}, \hat n, x^L, x^R)
8c4762a1bSJed Brown \end{equation}
9c4762a1bSJed Brown and then update the cell values given the cell volume.
10c4762a1bSJed Brown \begin{eqnarray}
11c4762a1bSJed Brown     f^L_i &-=& \frac{f_i}{vol^L} \\
12c4762a1bSJed Brown     f^R_i &+=& \frac{f_i}{vol^R}
13c4762a1bSJed Brown \end{eqnarray}
14c4762a1bSJed Brown 
15c4762a1bSJed Brown As an example, we can consider the shallow water wave equation,
16c4762a1bSJed Brown \begin{eqnarray}
17c4762a1bSJed Brown      h_t + \nabla\cdot \left( uh                              \right) &=& 0 \\
18c4762a1bSJed Brown   (uh)_t + \nabla\cdot \left( u\otimes uh + \frac{g h^2}{2} I \right) &=& 0
19c4762a1bSJed Brown \end{eqnarray}
20c4762a1bSJed Brown where $h$ is wave height, $u$ is wave velocity, and $g$ is the acceleration due to gravity.
21c4762a1bSJed Brown 
22c4762a1bSJed Brown A representative Riemann solver for the shallow water equations is given in the PhysicsRiemann_SW() function,
23c4762a1bSJed Brown \begin{eqnarray}
24c4762a1bSJed Brown   f^{L,R}_h    &=& uh^{L,R} \cdot \hat n \\
25c4762a1bSJed Brown   f^{L,R}_{uh} &=& \frac{f^{L,R}_h}{h^{L,R}} uh^{L,R} + g (h^{L,R})^2 \hat n \\
26c4762a1bSJed Brown   c^{L,R}      &=& \sqrt{g h^{L,R}} \\
27c4762a1bSJed Brown   s            &=& \max\left( \left|\frac{uh^L \cdot \hat n}{h^L}\right| + c^L, \left|\frac{uh^R \cdot \hat n}{h^R}\right| + c^R \right) \\
28c4762a1bSJed Brown   f_i          &=& \frac{A_\mathrm{face}}{2} \left( f^L_i + f^R_i + s \left( x^L_i - x^R_i \right) \right)
29c4762a1bSJed Brown \end{eqnarray}
30c4762a1bSJed Brown where $c$ is the local gravity wave speed and $f_i$ is a Rusanov flux.
31c4762a1bSJed Brown 
32c4762a1bSJed Brown The more sophisticated residual evaluation in RHSFunctionLocal_LS() uses a least-squares fit to a quadratic polynomial
33c4762a1bSJed Brown over a neighborhood of the given element.
34c4762a1bSJed Brown 
35c4762a1bSJed Brown The mesh is read in from an ExodusII file, usually generated by Cubit.
36c4762a1bSJed Brown F*/
37c4762a1bSJed Brown #include <petscdmplex.h>
38c4762a1bSJed Brown #include <petscdmforest.h>
39c4762a1bSJed Brown #include <petscds.h>
40c4762a1bSJed Brown #include <petscts.h>
41c4762a1bSJed Brown #include <petscsf.h> /* For SplitFaces() */
42c4762a1bSJed Brown 
43c4762a1bSJed Brown #define DIM 2                   /* Geometric dimension */
44c4762a1bSJed Brown #define ALEN(a) (sizeof(a)/sizeof((a)[0]))
45c4762a1bSJed Brown 
468d2c18caSMukkund Sunjii static PetscFunctionList PhysicsList, PhysicsRiemannList_SW;
47c4762a1bSJed Brown 
48c4762a1bSJed Brown /* Represents continuum physical equations. */
49c4762a1bSJed Brown typedef struct _n_Physics *Physics;
50c4762a1bSJed Brown 
51c4762a1bSJed Brown /* Physical model includes boundary conditions, initial conditions, and functionals of interest. It is
52c4762a1bSJed Brown  * discretization-independent, but its members depend on the scenario being solved. */
53c4762a1bSJed Brown typedef struct _n_Model *Model;
54c4762a1bSJed Brown 
55c4762a1bSJed Brown /* 'User' implements a discretization of a continuous model. */
56c4762a1bSJed Brown typedef struct _n_User *User;
57c4762a1bSJed Brown typedef PetscErrorCode (*SolutionFunction)(Model,PetscReal,const PetscReal*,PetscScalar*,void*);
58*45480ffeSMatthew G. Knepley typedef PetscErrorCode (*SetUpBCFunction)(DM,PetscDS,Physics);
59c4762a1bSJed Brown typedef PetscErrorCode (*FunctionalFunction)(Model,PetscReal,const PetscReal*,const PetscScalar*,PetscReal*,void*);
60c4762a1bSJed Brown typedef PetscErrorCode (*SetupFields)(Physics,PetscSection);
61c4762a1bSJed Brown static PetscErrorCode ModelSolutionSetDefault(Model,SolutionFunction,void*);
62c4762a1bSJed Brown static PetscErrorCode ModelFunctionalRegister(Model,const char*,PetscInt*,FunctionalFunction,void*);
63c4762a1bSJed Brown static PetscErrorCode OutputVTK(DM,const char*,PetscViewer*);
64c4762a1bSJed Brown 
65c4762a1bSJed Brown struct FieldDescription {
66c4762a1bSJed Brown   const char *name;
67c4762a1bSJed Brown   PetscInt dof;
68c4762a1bSJed Brown };
69c4762a1bSJed Brown 
70c4762a1bSJed Brown typedef struct _n_FunctionalLink *FunctionalLink;
71c4762a1bSJed Brown struct _n_FunctionalLink {
72c4762a1bSJed Brown   char               *name;
73c4762a1bSJed Brown   FunctionalFunction func;
74c4762a1bSJed Brown   void               *ctx;
75c4762a1bSJed Brown   PetscInt           offset;
76c4762a1bSJed Brown   FunctionalLink     next;
77c4762a1bSJed Brown };
78c4762a1bSJed Brown 
79c4762a1bSJed Brown struct _n_Physics {
80c4762a1bSJed Brown   PetscRiemannFunc riemann;
81c4762a1bSJed Brown   PetscInt         dof;          /* number of degrees of freedom per cell */
82c4762a1bSJed Brown   PetscReal        maxspeed;     /* kludge to pick initial time step, need to add monitoring and step control */
83c4762a1bSJed Brown   void             *data;
84c4762a1bSJed Brown   PetscInt         nfields;
85c4762a1bSJed Brown   const struct FieldDescription *field_desc;
86c4762a1bSJed Brown };
87c4762a1bSJed Brown 
88c4762a1bSJed Brown struct _n_Model {
89c4762a1bSJed Brown   MPI_Comm         comm;        /* Does not do collective communicaton, but some error conditions can be collective */
90c4762a1bSJed Brown   Physics          physics;
91c4762a1bSJed Brown   FunctionalLink   functionalRegistry;
92c4762a1bSJed Brown   PetscInt         maxComputed;
93c4762a1bSJed Brown   PetscInt         numMonitored;
94c4762a1bSJed Brown   FunctionalLink   *functionalMonitored;
95c4762a1bSJed Brown   PetscInt         numCall;
96c4762a1bSJed Brown   FunctionalLink   *functionalCall;
97c4762a1bSJed Brown   SolutionFunction solution;
98c4762a1bSJed Brown   SetUpBCFunction  setupbc;
99c4762a1bSJed Brown   void             *solutionctx;
100c4762a1bSJed Brown   PetscReal        maxspeed;    /* estimate of global maximum speed (for CFL calculation) */
101c4762a1bSJed Brown   PetscReal        bounds[2*DIM];
102c4762a1bSJed Brown   DMBoundaryType   bcs[3];
103c4762a1bSJed Brown   PetscErrorCode   (*errorIndicator)(PetscInt, PetscReal, PetscInt, const PetscScalar[], const PetscScalar[], PetscReal *, void *);
104c4762a1bSJed Brown   void             *errorCtx;
105c4762a1bSJed Brown };
106c4762a1bSJed Brown 
107c4762a1bSJed Brown struct _n_User {
108c4762a1bSJed Brown   PetscInt numSplitFaces;
109c4762a1bSJed Brown   PetscInt vtkInterval;   /* For monitor */
110c4762a1bSJed Brown   char outputBasename[PETSC_MAX_PATH_LEN]; /* Basename for output files */
111c4762a1bSJed Brown   PetscInt monitorStepOffset;
112c4762a1bSJed Brown   Model    model;
113c4762a1bSJed Brown   PetscBool vtkmon;
114c4762a1bSJed Brown };
115c4762a1bSJed Brown 
116c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal DotDIMReal(const PetscReal *x,const PetscReal *y)
117c4762a1bSJed Brown {
118c4762a1bSJed Brown   PetscInt  i;
119c4762a1bSJed Brown   PetscReal prod=0.0;
120c4762a1bSJed Brown 
121c4762a1bSJed Brown   for (i=0; i<DIM; i++) prod += x[i]*y[i];
122c4762a1bSJed Brown   return prod;
123c4762a1bSJed Brown }
124c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal NormDIM(const PetscReal *x) { return PetscSqrtReal(PetscAbsReal(DotDIMReal(x,x))); }
125c4762a1bSJed Brown 
126c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal Dot2Real(const PetscReal *x,const PetscReal *y) { return x[0]*y[0] + x[1]*y[1];}
127c4762a1bSJed Brown PETSC_STATIC_INLINE PetscReal Norm2Real(const PetscReal *x) { return PetscSqrtReal(PetscAbsReal(Dot2Real(x,x)));}
128c4762a1bSJed Brown PETSC_STATIC_INLINE void Normalize2Real(PetscReal *x) { PetscReal a = 1./Norm2Real(x); x[0] *= a; x[1] *= a; }
129c4762a1bSJed Brown PETSC_STATIC_INLINE void Waxpy2Real(PetscReal a,const PetscReal *x,const PetscReal *y,PetscReal *w) { w[0] = a*x[0] + y[0]; w[1] = a*x[1] + y[1]; }
130c4762a1bSJed Brown PETSC_STATIC_INLINE void Scale2Real(PetscReal a,const PetscReal *x,PetscReal *y) { y[0] = a*x[0]; y[1] = a*x[1]; }
131c4762a1bSJed Brown 
132c4762a1bSJed Brown /******************* Advect ********************/
133c4762a1bSJed Brown typedef enum {ADVECT_SOL_TILTED,ADVECT_SOL_BUMP,ADVECT_SOL_BUMP_CAVITY} AdvectSolType;
134c4762a1bSJed Brown static const char *const AdvectSolTypes[] = {"TILTED","BUMP","BUMP_CAVITY","AdvectSolType","ADVECT_SOL_",0};
135c4762a1bSJed Brown typedef enum {ADVECT_SOL_BUMP_CONE,ADVECT_SOL_BUMP_COS} AdvectSolBumpType;
136c4762a1bSJed Brown static const char *const AdvectSolBumpTypes[] = {"CONE","COS","AdvectSolBumpType","ADVECT_SOL_BUMP_",0};
137c4762a1bSJed Brown 
138c4762a1bSJed Brown typedef struct {
139c4762a1bSJed Brown   PetscReal wind[DIM];
140c4762a1bSJed Brown } Physics_Advect_Tilted;
141c4762a1bSJed Brown typedef struct {
142c4762a1bSJed Brown   PetscReal         center[DIM];
143c4762a1bSJed Brown   PetscReal         radius;
144c4762a1bSJed Brown   AdvectSolBumpType type;
145c4762a1bSJed Brown } Physics_Advect_Bump;
146c4762a1bSJed Brown 
147c4762a1bSJed Brown typedef struct {
148c4762a1bSJed Brown   PetscReal     inflowState;
149c4762a1bSJed Brown   AdvectSolType soltype;
150c4762a1bSJed Brown   union {
151c4762a1bSJed Brown     Physics_Advect_Tilted tilted;
152c4762a1bSJed Brown     Physics_Advect_Bump   bump;
153c4762a1bSJed Brown   } sol;
154c4762a1bSJed Brown   struct {
155c4762a1bSJed Brown     PetscInt Solution;
156c4762a1bSJed Brown     PetscInt Error;
157c4762a1bSJed Brown   } functional;
158c4762a1bSJed Brown } Physics_Advect;
159c4762a1bSJed Brown 
160c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_Advect[] = {{"U",1},{NULL,0}};
161c4762a1bSJed Brown 
162c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Advect_Inflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
163c4762a1bSJed Brown {
164c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
165c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
166c4762a1bSJed Brown 
167c4762a1bSJed Brown   PetscFunctionBeginUser;
168c4762a1bSJed Brown   xG[0] = advect->inflowState;
169c4762a1bSJed Brown   PetscFunctionReturn(0);
170c4762a1bSJed Brown }
171c4762a1bSJed Brown 
172c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Advect_Outflow(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
173c4762a1bSJed Brown {
174c4762a1bSJed Brown   PetscFunctionBeginUser;
175c4762a1bSJed Brown   xG[0] = xI[0];
176c4762a1bSJed Brown   PetscFunctionReturn(0);
177c4762a1bSJed Brown }
178c4762a1bSJed Brown 
179c4762a1bSJed Brown static void PhysicsRiemann_Advect(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
180c4762a1bSJed Brown {
181c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
182c4762a1bSJed Brown   PetscReal      wind[DIM],wn;
183c4762a1bSJed Brown 
184c4762a1bSJed Brown   switch (advect->soltype) {
185c4762a1bSJed Brown   case ADVECT_SOL_TILTED: {
186c4762a1bSJed Brown     Physics_Advect_Tilted *tilted = &advect->sol.tilted;
187c4762a1bSJed Brown     wind[0] = tilted->wind[0];
188c4762a1bSJed Brown     wind[1] = tilted->wind[1];
189c4762a1bSJed Brown   } break;
190c4762a1bSJed Brown   case ADVECT_SOL_BUMP:
191c4762a1bSJed Brown     wind[0] = -qp[1];
192c4762a1bSJed Brown     wind[1] = qp[0];
193c4762a1bSJed Brown     break;
194c4762a1bSJed Brown   case ADVECT_SOL_BUMP_CAVITY:
195c4762a1bSJed Brown     {
196c4762a1bSJed Brown       PetscInt  i;
197c4762a1bSJed Brown       PetscReal comp2[3] = {0.,0.,0.}, rad2;
198c4762a1bSJed Brown 
199c4762a1bSJed Brown       rad2 = 0.;
200c4762a1bSJed Brown       for (i = 0; i < dim; i++) {
201c4762a1bSJed Brown         comp2[i] = qp[i] * qp[i];
202c4762a1bSJed Brown         rad2    += comp2[i];
203c4762a1bSJed Brown       }
204c4762a1bSJed Brown 
205c4762a1bSJed Brown       wind[0] = -qp[1];
206c4762a1bSJed Brown       wind[1] = qp[0];
207c4762a1bSJed Brown       if (rad2 > 1.) {
208c4762a1bSJed Brown         PetscInt  maxI = 0;
209c4762a1bSJed Brown         PetscReal maxComp2 = comp2[0];
210c4762a1bSJed Brown 
211c4762a1bSJed Brown         for (i = 1; i < dim; i++) {
212c4762a1bSJed Brown           if (comp2[i] > maxComp2) {
213c4762a1bSJed Brown             maxI     = i;
214c4762a1bSJed Brown             maxComp2 = comp2[i];
215c4762a1bSJed Brown           }
216c4762a1bSJed Brown         }
217c4762a1bSJed Brown         wind[maxI] = 0.;
218c4762a1bSJed Brown       }
219c4762a1bSJed Brown     }
220c4762a1bSJed Brown     break;
221c4762a1bSJed Brown   default:
222c4762a1bSJed Brown   {
223c4762a1bSJed Brown     PetscInt i;
224c4762a1bSJed Brown     for (i = 0; i < DIM; ++i) wind[i] = 0.0;
225c4762a1bSJed Brown   }
226c4762a1bSJed Brown   /* default: SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for solution type %s",AdvectSolBumpTypes[advect->soltype]); */
227c4762a1bSJed Brown   }
228c4762a1bSJed Brown   wn      = Dot2Real(wind, n);
229c4762a1bSJed Brown   flux[0] = (wn > 0 ? xL[0] : xR[0]) * wn;
230c4762a1bSJed Brown }
231c4762a1bSJed Brown 
232c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_Advect(Model mod,PetscReal time,const PetscReal *x,PetscScalar *u,void *ctx)
233c4762a1bSJed Brown {
234c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
235c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
236c4762a1bSJed Brown 
237c4762a1bSJed Brown   PetscFunctionBeginUser;
238c4762a1bSJed Brown   switch (advect->soltype) {
239c4762a1bSJed Brown   case ADVECT_SOL_TILTED: {
240c4762a1bSJed Brown     PetscReal             x0[DIM];
241c4762a1bSJed Brown     Physics_Advect_Tilted *tilted = &advect->sol.tilted;
242c4762a1bSJed Brown     Waxpy2Real(-time,tilted->wind,x,x0);
243c4762a1bSJed Brown     if (x0[1] > 0) u[0] = 1.*x[0] + 3.*x[1];
244c4762a1bSJed Brown     else u[0] = advect->inflowState;
245c4762a1bSJed Brown   } break;
246c4762a1bSJed Brown   case ADVECT_SOL_BUMP_CAVITY:
247c4762a1bSJed Brown   case ADVECT_SOL_BUMP: {
248c4762a1bSJed Brown     Physics_Advect_Bump *bump = &advect->sol.bump;
249c4762a1bSJed Brown     PetscReal           x0[DIM],v[DIM],r,cost,sint;
250c4762a1bSJed Brown     cost  = PetscCosReal(time);
251c4762a1bSJed Brown     sint  = PetscSinReal(time);
252c4762a1bSJed Brown     x0[0] = cost*x[0] + sint*x[1];
253c4762a1bSJed Brown     x0[1] = -sint*x[0] + cost*x[1];
254c4762a1bSJed Brown     Waxpy2Real(-1,bump->center,x0,v);
255c4762a1bSJed Brown     r = Norm2Real(v);
256c4762a1bSJed Brown     switch (bump->type) {
257c4762a1bSJed Brown     case ADVECT_SOL_BUMP_CONE:
258c4762a1bSJed Brown       u[0] = PetscMax(1 - r/bump->radius,0);
259c4762a1bSJed Brown       break;
260c4762a1bSJed Brown     case ADVECT_SOL_BUMP_COS:
261c4762a1bSJed Brown       u[0] = 0.5 + 0.5*PetscCosReal(PetscMin(r/bump->radius,1)*PETSC_PI);
262c4762a1bSJed Brown       break;
263c4762a1bSJed Brown     }
264c4762a1bSJed Brown   } break;
265c4762a1bSJed Brown   default: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unknown solution type");
266c4762a1bSJed Brown   }
267c4762a1bSJed Brown   PetscFunctionReturn(0);
268c4762a1bSJed Brown }
269c4762a1bSJed Brown 
270c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_Advect(Model mod,PetscReal time,const PetscReal *x,const PetscScalar *y,PetscReal *f,void *ctx)
271c4762a1bSJed Brown {
272c4762a1bSJed Brown   Physics        phys    = (Physics)ctx;
273c4762a1bSJed Brown   Physics_Advect *advect = (Physics_Advect*)phys->data;
274391faea4SSatish Balay   PetscScalar    yexact[1] = {0.0};
275c4762a1bSJed Brown   PetscErrorCode ierr;
276c4762a1bSJed Brown 
277c4762a1bSJed Brown   PetscFunctionBeginUser;
278c4762a1bSJed Brown   ierr = PhysicsSolution_Advect(mod,time,x,yexact,phys);CHKERRQ(ierr);
279c4762a1bSJed Brown   f[advect->functional.Solution] = PetscRealPart(y[0]);
280c4762a1bSJed Brown   f[advect->functional.Error] = PetscAbsScalar(y[0]-yexact[0]);
281c4762a1bSJed Brown   PetscFunctionReturn(0);
282c4762a1bSJed Brown }
283c4762a1bSJed Brown 
284*45480ffeSMatthew G. Knepley static PetscErrorCode SetUpBC_Advect(DM dm, PetscDS prob, Physics phys)
285c4762a1bSJed Brown {
286c4762a1bSJed Brown   PetscErrorCode ierr;
287c4762a1bSJed Brown   const PetscInt inflowids[] = {100,200,300},outflowids[] = {101};
288*45480ffeSMatthew G. Knepley   DMLabel        label;
289c4762a1bSJed Brown 
290c4762a1bSJed Brown   PetscFunctionBeginUser;
291c4762a1bSJed Brown   /* Register "canned" boundary conditions and defaults for where to apply. */
292*45480ffeSMatthew G. Knepley   ierr = DMGetLabel(dm, "Face Sets", &label);CHKERRQ(ierr);
293*45480ffeSMatthew G. Knepley   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "inflow",  label, ALEN(inflowids),  inflowids,  0, 0, NULL, (void (*)(void)) PhysicsBoundary_Advect_Inflow, NULL,  phys, NULL);CHKERRQ(ierr);
294*45480ffeSMatthew G. Knepley   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "outflow", label, ALEN(outflowids), outflowids, 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Advect_Outflow, NULL, phys, NULL);CHKERRQ(ierr);
295c4762a1bSJed Brown   PetscFunctionReturn(0);
296c4762a1bSJed Brown }
297c4762a1bSJed Brown 
298c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_Advect(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
299c4762a1bSJed Brown {
300c4762a1bSJed Brown   Physics_Advect *advect;
301c4762a1bSJed Brown   PetscErrorCode ierr;
302c4762a1bSJed Brown 
303c4762a1bSJed Brown   PetscFunctionBeginUser;
304c4762a1bSJed Brown   phys->field_desc = PhysicsFields_Advect;
305c4762a1bSJed Brown   phys->riemann    = (PetscRiemannFunc)PhysicsRiemann_Advect;
306c4762a1bSJed Brown   ierr = PetscNew(&advect);CHKERRQ(ierr);
307c4762a1bSJed Brown   phys->data       = advect;
308c4762a1bSJed Brown   mod->setupbc = SetUpBC_Advect;
309c4762a1bSJed Brown 
310c4762a1bSJed Brown   ierr = PetscOptionsHead(PetscOptionsObject,"Advect options");CHKERRQ(ierr);
311c4762a1bSJed Brown   {
312c4762a1bSJed Brown     PetscInt two = 2,dof = 1;
313c4762a1bSJed Brown     advect->soltype = ADVECT_SOL_TILTED;
314c4762a1bSJed Brown     ierr = PetscOptionsEnum("-advect_sol_type","solution type","",AdvectSolTypes,(PetscEnum)advect->soltype,(PetscEnum*)&advect->soltype,NULL);CHKERRQ(ierr);
315c4762a1bSJed Brown     switch (advect->soltype) {
316c4762a1bSJed Brown     case ADVECT_SOL_TILTED: {
317c4762a1bSJed Brown       Physics_Advect_Tilted *tilted = &advect->sol.tilted;
318c4762a1bSJed Brown       two = 2;
319c4762a1bSJed Brown       tilted->wind[0] = 0.0;
320c4762a1bSJed Brown       tilted->wind[1] = 1.0;
321c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_tilted_wind","background wind vx,vy","",tilted->wind,&two,NULL);CHKERRQ(ierr);
322c4762a1bSJed Brown       advect->inflowState = -2.0;
323c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_tilted_inflow","Inflow state","",&advect->inflowState,&dof,NULL);CHKERRQ(ierr);
324c4762a1bSJed Brown       phys->maxspeed = Norm2Real(tilted->wind);
325c4762a1bSJed Brown     } break;
326c4762a1bSJed Brown     case ADVECT_SOL_BUMP_CAVITY:
327c4762a1bSJed Brown     case ADVECT_SOL_BUMP: {
328c4762a1bSJed Brown       Physics_Advect_Bump *bump = &advect->sol.bump;
329c4762a1bSJed Brown       two = 2;
330c4762a1bSJed Brown       bump->center[0] = 2.;
331c4762a1bSJed Brown       bump->center[1] = 0.;
332c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-advect_bump_center","location of center of bump x,y","",bump->center,&two,NULL);CHKERRQ(ierr);
333c4762a1bSJed Brown       bump->radius = 0.9;
334c4762a1bSJed Brown       ierr = PetscOptionsReal("-advect_bump_radius","radius of bump","",bump->radius,&bump->radius,NULL);CHKERRQ(ierr);
335c4762a1bSJed Brown       bump->type = ADVECT_SOL_BUMP_CONE;
336c4762a1bSJed Brown       ierr = PetscOptionsEnum("-advect_bump_type","type of bump","",AdvectSolBumpTypes,(PetscEnum)bump->type,(PetscEnum*)&bump->type,NULL);CHKERRQ(ierr);
337c4762a1bSJed Brown       phys->maxspeed = 3.;       /* radius of mesh, kludge */
338c4762a1bSJed Brown     } break;
339c4762a1bSJed Brown     }
340c4762a1bSJed Brown   }
341c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
342c4762a1bSJed Brown   /* Initial/transient solution with default boundary conditions */
343c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_Advect,phys);CHKERRQ(ierr);
344c4762a1bSJed Brown   /* Register "canned" functionals */
345c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Solution",&advect->functional.Solution,PhysicsFunctional_Advect,phys);CHKERRQ(ierr);
346c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Error",&advect->functional.Error,PhysicsFunctional_Advect,phys);CHKERRQ(ierr);
347c4762a1bSJed Brown   mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
348c4762a1bSJed Brown   PetscFunctionReturn(0);
349c4762a1bSJed Brown }
350c4762a1bSJed Brown 
351c4762a1bSJed Brown /******************* Shallow Water ********************/
352c4762a1bSJed Brown typedef struct {
353c4762a1bSJed Brown   PetscReal gravity;
354c4762a1bSJed Brown   PetscReal boundaryHeight;
355c4762a1bSJed Brown   struct {
356c4762a1bSJed Brown     PetscInt Height;
357c4762a1bSJed Brown     PetscInt Speed;
358c4762a1bSJed Brown     PetscInt Energy;
359c4762a1bSJed Brown   } functional;
360c4762a1bSJed Brown } Physics_SW;
361c4762a1bSJed Brown typedef struct {
362c4762a1bSJed Brown   PetscReal h;
363c4762a1bSJed Brown   PetscReal uh[DIM];
364c4762a1bSJed Brown } SWNode;
365c4762a1bSJed Brown typedef union {
366c4762a1bSJed Brown   SWNode    swnode;
367c4762a1bSJed Brown   PetscReal vals[DIM+1];
368c4762a1bSJed Brown } SWNodeUnion;
369c4762a1bSJed Brown 
370c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_SW[] = {{"Height",1},{"Momentum",DIM},{NULL,0}};
371c4762a1bSJed Brown 
372c4762a1bSJed Brown /*
373c4762a1bSJed Brown  * h_t + div(uh) = 0
374c4762a1bSJed Brown  * (uh)_t + div (u\otimes uh + g h^2 / 2 I) = 0
375c4762a1bSJed Brown  *
376c4762a1bSJed Brown  * */
377c4762a1bSJed Brown static PetscErrorCode SWFlux(Physics phys,const PetscReal *n,const SWNode *x,SWNode *f)
378c4762a1bSJed Brown {
379c4762a1bSJed Brown   Physics_SW  *sw = (Physics_SW*)phys->data;
380c4762a1bSJed Brown   PetscReal   uhn,u[DIM];
381c4762a1bSJed Brown   PetscInt     i;
382c4762a1bSJed Brown 
383c4762a1bSJed Brown   PetscFunctionBeginUser;
384c4762a1bSJed Brown   Scale2Real(1./x->h,x->uh,u);
385c4762a1bSJed Brown   uhn  = x->uh[0] * n[0] + x->uh[1] * n[1];
386c4762a1bSJed Brown   f->h = uhn;
387c4762a1bSJed Brown   for (i=0; i<DIM; i++) f->uh[i] = u[i] * uhn + sw->gravity * PetscSqr(x->h) * n[i];
388c4762a1bSJed Brown   PetscFunctionReturn(0);
389c4762a1bSJed Brown }
390c4762a1bSJed Brown 
391c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_SW_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *xI, PetscScalar *xG, void *ctx)
392c4762a1bSJed Brown {
393c4762a1bSJed Brown   PetscFunctionBeginUser;
394c4762a1bSJed Brown   xG[0] = xI[0];
395c4762a1bSJed Brown   xG[1] = -xI[1];
396c4762a1bSJed Brown   xG[2] = -xI[2];
397c4762a1bSJed Brown   PetscFunctionReturn(0);
398c4762a1bSJed Brown }
399c4762a1bSJed Brown 
4008d2c18caSMukkund Sunjii static void PhysicsRiemann_SW_HLL(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
4018d2c18caSMukkund Sunjii {
4028d2c18caSMukkund Sunjii   Physics_SW *sw = (Physics_SW *) phys->data;
4038d2c18caSMukkund Sunjii   PetscReal aL, aR;
4048d2c18caSMukkund Sunjii   PetscReal nn[DIM];
4058d2c18caSMukkund Sunjii #if !defined(PETSC_USE_COMPLEX)
4068d2c18caSMukkund Sunjii   const SWNode *uL = (const SWNode *) xL, *uR = (const SWNode *) xR;
4078d2c18caSMukkund Sunjii #else
4088d2c18caSMukkund Sunjii   SWNodeUnion  uLreal, uRreal;
4098d2c18caSMukkund Sunjii   const SWNode *uL = &uLreal.swnode;
4108d2c18caSMukkund Sunjii   const SWNode *uR = &uRreal.swnode;
4118d2c18caSMukkund Sunjii #endif
4128d2c18caSMukkund Sunjii   SWNodeUnion fL, fR;
4138d2c18caSMukkund Sunjii   PetscInt i;
4148d2c18caSMukkund Sunjii   PetscReal zero = 0.;
4158d2c18caSMukkund Sunjii 
4168d2c18caSMukkund Sunjii #if defined(PETSC_USE_COMPLEX)
4178d2c18caSMukkund Sunjii   uLreal.swnode.h = 0; uRreal.swnode.h = 0;
4188d2c18caSMukkund Sunjii   for (i = 0; i < 1+dim; i++) uLreal.vals[i] = PetscRealPart(xL[i]);
4198d2c18caSMukkund Sunjii   for (i = 0; i < 1+dim; i++) uRreal.vals[i] = PetscRealPart(xR[i]);
4208d2c18caSMukkund Sunjii #endif
4218d2c18caSMukkund Sunjii   if (uL->h <= 0 || uR->h <= 0) {
4228d2c18caSMukkund Sunjii     for (i = 0; i < 1 + dim; i++) flux[i] = zero;
4238d2c18caSMukkund Sunjii     return;
4248d2c18caSMukkund Sunjii   } /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Reconstructed thickness is negative"); */
4258d2c18caSMukkund Sunjii   nn[0] = n[0];
4268d2c18caSMukkund Sunjii   nn[1] = n[1];
4278d2c18caSMukkund Sunjii   Normalize2Real(nn);
4288d2c18caSMukkund Sunjii   SWFlux(phys, nn, uL, &(fL.swnode));
4298d2c18caSMukkund Sunjii   SWFlux(phys, nn, uR, &(fR.swnode));
4308d2c18caSMukkund Sunjii   /* gravity wave speed */
4318d2c18caSMukkund Sunjii   aL = PetscSqrtReal(sw->gravity * uL->h);
4328d2c18caSMukkund Sunjii   aR = PetscSqrtReal(sw->gravity * uR->h);
4338d2c18caSMukkund Sunjii   // Defining u_tilda and v_tilda as u and v
4348d2c18caSMukkund Sunjii   PetscReal u_L, u_R;
4358d2c18caSMukkund Sunjii   u_L = Dot2Real(uL->uh,nn)/uL->h;
4368d2c18caSMukkund Sunjii   u_R = Dot2Real(uR->uh,nn)/uR->h;
4378d2c18caSMukkund Sunjii   PetscReal sL, sR;
4388d2c18caSMukkund Sunjii   sL = PetscMin(u_L - aL, u_R - aR);
4398d2c18caSMukkund Sunjii   sR = PetscMax(u_L + aL, u_R + aR);
4408d2c18caSMukkund Sunjii   if (sL > zero) {
4418d2c18caSMukkund Sunjii     for (i = 0; i < dim + 1; i++) {
4428d2c18caSMukkund Sunjii       flux[i] = fL.vals[i] * Norm2Real(n);
4438d2c18caSMukkund Sunjii     }
4448d2c18caSMukkund Sunjii   } else if (sR < zero) {
4458d2c18caSMukkund Sunjii     for (i = 0; i < dim + 1; i++) {
4468d2c18caSMukkund Sunjii       flux[i] = fR.vals[i] * Norm2Real(n);
4478d2c18caSMukkund Sunjii     }
4488d2c18caSMukkund Sunjii   } else {
4498d2c18caSMukkund Sunjii     for (i = 0; i < dim + 1; i++) {
4508d2c18caSMukkund Sunjii       flux[i] = ((sR * fL.vals[i] - sL * fR.vals[i] + sR * sL * (xR[i] - xL[i])) / (sR - sL)) * Norm2Real(n);
4518d2c18caSMukkund Sunjii     }
4528d2c18caSMukkund Sunjii   }
4538d2c18caSMukkund Sunjii }
4548d2c18caSMukkund Sunjii 
4558d2c18caSMukkund Sunjii static void PhysicsRiemann_SW_Rusanov(PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n, const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
456c4762a1bSJed Brown {
457c4762a1bSJed Brown   Physics_SW   *sw = (Physics_SW*)phys->data;
458c4762a1bSJed Brown   PetscReal    cL,cR,speed;
459c4762a1bSJed Brown   PetscReal    nn[DIM];
460c4762a1bSJed Brown #if !defined(PETSC_USE_COMPLEX)
461c4762a1bSJed Brown   const SWNode *uL = (const SWNode*)xL,*uR = (const SWNode*)xR;
462c4762a1bSJed Brown #else
463c4762a1bSJed Brown   SWNodeUnion  uLreal, uRreal;
464c4762a1bSJed Brown   const SWNode *uL = &uLreal.swnode;
465c4762a1bSJed Brown   const SWNode *uR = &uRreal.swnode;
466c4762a1bSJed Brown #endif
467c4762a1bSJed Brown   SWNodeUnion  fL,fR;
468c4762a1bSJed Brown   PetscInt     i;
469c4762a1bSJed Brown   PetscReal    zero=0.;
470c4762a1bSJed Brown 
471c4762a1bSJed Brown #if defined(PETSC_USE_COMPLEX)
472c4762a1bSJed Brown   uLreal.swnode.h = 0; uRreal.swnode.h = 0;
473c4762a1bSJed Brown   for (i = 0; i < 1+dim; i++) uLreal.vals[i] = PetscRealPart(xL[i]);
474c4762a1bSJed Brown   for (i = 0; i < 1+dim; i++) uRreal.vals[i] = PetscRealPart(xR[i]);
475c4762a1bSJed Brown #endif
476c4762a1bSJed Brown   if (uL->h < 0 || uR->h < 0) {for (i=0; i<1+dim; i++) flux[i] = zero/zero; return;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Reconstructed thickness is negative"); */
477c4762a1bSJed Brown   nn[0] = n[0];
478c4762a1bSJed Brown   nn[1] = n[1];
479c4762a1bSJed Brown   Normalize2Real(nn);
480c4762a1bSJed Brown   SWFlux(phys,nn,uL,&(fL.swnode));
481c4762a1bSJed Brown   SWFlux(phys,nn,uR,&(fR.swnode));
482c4762a1bSJed Brown   cL    = PetscSqrtReal(sw->gravity*uL->h);
483c4762a1bSJed Brown   cR    = PetscSqrtReal(sw->gravity*uR->h); /* gravity wave speed */
484c4762a1bSJed Brown   speed = PetscMax(PetscAbsReal(Dot2Real(uL->uh,nn)/uL->h) + cL,PetscAbsReal(Dot2Real(uR->uh,nn)/uR->h) + cR);
485c4762a1bSJed Brown   for (i=0; i<1+dim; i++) flux[i] = (0.5*(fL.vals[i] + fR.vals[i]) + 0.5*speed*(xL[i] - xR[i])) * Norm2Real(n);
486c4762a1bSJed Brown }
487c4762a1bSJed Brown 
488c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_SW(Model mod,PetscReal time,const PetscReal *x,PetscScalar *u,void *ctx)
489c4762a1bSJed Brown {
490c4762a1bSJed Brown   PetscReal dx[2],r,sigma;
491c4762a1bSJed Brown 
492c4762a1bSJed Brown   PetscFunctionBeginUser;
493c4762a1bSJed Brown   if (time != 0.0) SETERRQ1(mod->comm,PETSC_ERR_SUP,"No solution known for time %g",(double)time);
494c4762a1bSJed Brown   dx[0] = x[0] - 1.5;
495c4762a1bSJed Brown   dx[1] = x[1] - 1.0;
496c4762a1bSJed Brown   r     = Norm2Real(dx);
497c4762a1bSJed Brown   sigma = 0.5;
498c4762a1bSJed Brown   u[0]  = 1 + 2*PetscExpReal(-PetscSqr(r)/(2*PetscSqr(sigma)));
499c4762a1bSJed Brown   u[1]  = 0.0;
500c4762a1bSJed Brown   u[2]  = 0.0;
501c4762a1bSJed Brown   PetscFunctionReturn(0);
502c4762a1bSJed Brown }
503c4762a1bSJed Brown 
504c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_SW(Model mod,PetscReal time,const PetscReal *coord,const PetscScalar *xx,PetscReal *f,void *ctx)
505c4762a1bSJed Brown {
506c4762a1bSJed Brown   Physics      phys = (Physics)ctx;
507c4762a1bSJed Brown   Physics_SW   *sw  = (Physics_SW*)phys->data;
508c4762a1bSJed Brown   const SWNode *x   = (const SWNode*)xx;
509c4762a1bSJed Brown   PetscReal  u[2];
510c4762a1bSJed Brown   PetscReal    h;
511c4762a1bSJed Brown 
512c4762a1bSJed Brown   PetscFunctionBeginUser;
513c4762a1bSJed Brown   h = x->h;
514c4762a1bSJed Brown   Scale2Real(1./x->h,x->uh,u);
515c4762a1bSJed Brown   f[sw->functional.Height] = h;
516c4762a1bSJed Brown   f[sw->functional.Speed]  = Norm2Real(u) + PetscSqrtReal(sw->gravity*h);
517c4762a1bSJed Brown   f[sw->functional.Energy] = 0.5*(Dot2Real(x->uh,u) + sw->gravity*PetscSqr(h));
518c4762a1bSJed Brown   PetscFunctionReturn(0);
519c4762a1bSJed Brown }
520c4762a1bSJed Brown 
521*45480ffeSMatthew G. Knepley static PetscErrorCode SetUpBC_SW(DM dm, PetscDS prob,Physics phys)
522c4762a1bSJed Brown {
523c4762a1bSJed Brown   PetscErrorCode ierr;
524c4762a1bSJed Brown   const PetscInt wallids[] = {100,101,200,300};
525*45480ffeSMatthew G. Knepley   DMLabel        label;
526*45480ffeSMatthew G. Knepley 
527c4762a1bSJed Brown   PetscFunctionBeginUser;
528*45480ffeSMatthew G. Knepley   ierr = DMGetLabel(dm, "Face Sets", &label);CHKERRQ(ierr);
529*45480ffeSMatthew G. Knepley   ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, ALEN(wallids), wallids, 0, 0, NULL, (void (*)(void)) PhysicsBoundary_SW_Wall, NULL, phys, NULL);CHKERRQ(ierr);
530c4762a1bSJed Brown   PetscFunctionReturn(0);
531c4762a1bSJed Brown }
532c4762a1bSJed Brown 
533c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_SW(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
534c4762a1bSJed Brown {
535c4762a1bSJed Brown   Physics_SW     *sw;
5368d2c18caSMukkund Sunjii   char           sw_riemann[64] = "rusanov";
537c4762a1bSJed Brown   PetscErrorCode ierr;
538c4762a1bSJed Brown 
539c4762a1bSJed Brown   PetscFunctionBeginUser;
540c4762a1bSJed Brown   phys->field_desc = PhysicsFields_SW;
541c4762a1bSJed Brown   ierr          = PetscNew(&sw);CHKERRQ(ierr);
542c4762a1bSJed Brown   phys->data    = sw;
543c4762a1bSJed Brown   mod->setupbc  = SetUpBC_SW;
544c4762a1bSJed Brown 
5458d2c18caSMukkund Sunjii   PetscFunctionListAdd(&PhysicsRiemannList_SW, "rusanov", PhysicsRiemann_SW_Rusanov);
5468d2c18caSMukkund Sunjii   PetscFunctionListAdd(&PhysicsRiemannList_SW, "hll", PhysicsRiemann_SW_HLL);
5478d2c18caSMukkund Sunjii 
548c4762a1bSJed Brown   ierr          = PetscOptionsHead(PetscOptionsObject,"SW options");CHKERRQ(ierr);
549c4762a1bSJed Brown   {
5508d2c18caSMukkund Sunjii     void (*PhysicsRiemann_SW)(PetscInt, PetscInt, const PetscReal *, const PetscReal *, const PetscScalar *, const PetscScalar *, PetscInt, const PetscScalar, PetscScalar *, Physics);
551c4762a1bSJed Brown     sw->gravity = 1.0;
552c4762a1bSJed Brown     ierr = PetscOptionsReal("-sw_gravity","Gravitational constant","",sw->gravity,&sw->gravity,NULL);CHKERRQ(ierr);
5538d2c18caSMukkund Sunjii     ierr = PetscOptionsFList("-sw_riemann","Riemann solver","",PhysicsRiemannList_SW,sw_riemann,sw_riemann,sizeof sw_riemann,NULL);CHKERRQ(ierr);
5548d2c18caSMukkund Sunjii     ierr = PetscFunctionListFind(PhysicsRiemannList_SW,sw_riemann,&PhysicsRiemann_SW);CHKERRQ(ierr);
5558d2c18caSMukkund Sunjii     phys->riemann = (PetscRiemannFunc) PhysicsRiemann_SW;
556c4762a1bSJed Brown   }
557c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
558c4762a1bSJed Brown   phys->maxspeed = PetscSqrtReal(2.0*sw->gravity); /* Mach 1 for depth of 2 */
559c4762a1bSJed Brown 
560c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_SW,phys);CHKERRQ(ierr);
561c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Height",&sw->functional.Height,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
562c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Speed",&sw->functional.Speed,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
563c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Energy",&sw->functional.Energy,PhysicsFunctional_SW,phys);CHKERRQ(ierr);
564c4762a1bSJed Brown 
565c4762a1bSJed Brown   mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
566c4762a1bSJed Brown 
567c4762a1bSJed Brown   PetscFunctionReturn(0);
568c4762a1bSJed Brown }
569c4762a1bSJed Brown 
570c4762a1bSJed Brown /******************* Euler Density Shock (EULER_IV_SHOCK,EULER_SS_SHOCK) ********************/
571c4762a1bSJed Brown /* An initial-value and self-similar solutions of the compressible Euler equations */
572c4762a1bSJed Brown /* Ravi Samtaney and D. I. Pullin */
573c4762a1bSJed Brown /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
574c4762a1bSJed Brown typedef enum {EULER_PAR_GAMMA,EULER_PAR_RHOR,EULER_PAR_AMACH,EULER_PAR_ITANA,EULER_PAR_SIZE} EulerParamIdx;
575c4762a1bSJed Brown typedef enum {EULER_IV_SHOCK,EULER_SS_SHOCK,EULER_SHOCK_TUBE,EULER_LINEAR_WAVE} EulerType;
576c4762a1bSJed Brown typedef struct {
577c4762a1bSJed Brown   PetscReal r;
578c4762a1bSJed Brown   PetscReal ru[DIM];
579c4762a1bSJed Brown   PetscReal E;
580c4762a1bSJed Brown } EulerNode;
581c4762a1bSJed Brown typedef union {
582c4762a1bSJed Brown   EulerNode eulernode;
583c4762a1bSJed Brown   PetscReal vals[DIM+2];
584c4762a1bSJed Brown } EulerNodeUnion;
585c4762a1bSJed Brown typedef PetscErrorCode (*EquationOfState)(const PetscReal*, const EulerNode*, PetscReal*);
586c4762a1bSJed Brown typedef struct {
587c4762a1bSJed Brown   EulerType       type;
588c4762a1bSJed Brown   PetscReal       pars[EULER_PAR_SIZE];
589c4762a1bSJed Brown   EquationOfState sound;
590c4762a1bSJed Brown   struct {
591c4762a1bSJed Brown     PetscInt Density;
592c4762a1bSJed Brown     PetscInt Momentum;
593c4762a1bSJed Brown     PetscInt Energy;
594c4762a1bSJed Brown     PetscInt Pressure;
595c4762a1bSJed Brown     PetscInt Speed;
596c4762a1bSJed Brown   } monitor;
597c4762a1bSJed Brown } Physics_Euler;
598c4762a1bSJed Brown 
599c4762a1bSJed Brown static const struct FieldDescription PhysicsFields_Euler[] = {{"Density",1},{"Momentum",DIM},{"Energy",1},{NULL,0}};
600c4762a1bSJed Brown 
601c4762a1bSJed Brown /* initial condition */
602c4762a1bSJed Brown int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx);
603c4762a1bSJed Brown static PetscErrorCode PhysicsSolution_Euler(Model mod, PetscReal time, const PetscReal *x, PetscScalar *u, void *ctx)
604c4762a1bSJed Brown {
605c4762a1bSJed Brown   PetscInt i;
606c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
607c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
608c4762a1bSJed Brown   EulerNode       *uu  = (EulerNode*)u;
609c4762a1bSJed Brown   PetscReal        p0,gamma,c;
610c4762a1bSJed Brown   PetscFunctionBeginUser;
611c4762a1bSJed Brown   if (time != 0.0) SETERRQ1(mod->comm,PETSC_ERR_SUP,"No solution known for time %g",(double)time);
612c4762a1bSJed Brown 
613c4762a1bSJed Brown   for (i=0; i<DIM; i++) uu->ru[i] = 0.0; /* zero out initial velocity */
614c4762a1bSJed Brown   /* set E and rho */
615c4762a1bSJed Brown   gamma = eu->pars[EULER_PAR_GAMMA];
616c4762a1bSJed Brown 
617c4762a1bSJed Brown   if (eu->type==EULER_IV_SHOCK || eu->type==EULER_SS_SHOCK) {
618c4762a1bSJed Brown     /******************* Euler Density Shock ********************/
619c4762a1bSJed Brown     /* On initial-value and self-similar solutions of the compressible Euler equations */
620c4762a1bSJed Brown     /* Ravi Samtaney and D. I. Pullin */
621c4762a1bSJed Brown     /* Phys. Fluids 8, 2650 (1996); http://dx.doi.org/10.1063/1.869050 */
622c4762a1bSJed Brown     /* initial conditions 1: left of shock, 0: left of discontinuity 2: right of discontinuity,  */
623c4762a1bSJed Brown     p0 = 1.;
624c4762a1bSJed Brown     if (x[0] < 0.0 + x[1]*eu->pars[EULER_PAR_ITANA]) {
625c4762a1bSJed Brown       if (x[0] < mod->bounds[0]*0.5) { /* left of shock (1) */
626c4762a1bSJed Brown         PetscReal amach,rho,press,gas1,p1;
627c4762a1bSJed Brown         amach = eu->pars[EULER_PAR_AMACH];
628c4762a1bSJed Brown         rho = 1.;
629c4762a1bSJed Brown         press = p0;
630c4762a1bSJed Brown         p1 = press*(1.0+2.0*gamma/(gamma+1.0)*(amach*amach-1.0));
631c4762a1bSJed Brown         gas1 = (gamma-1.0)/(gamma+1.0);
632c4762a1bSJed Brown         uu->r = rho*(p1/press+gas1)/(gas1*p1/press+1.0);
633c4762a1bSJed Brown         uu->ru[0]   = ((uu->r - rho)*PetscSqrtReal(gamma*press/rho)*amach);
634c4762a1bSJed Brown         uu->E = p1/(gamma-1.0) + .5/uu->r*uu->ru[0]*uu->ru[0];
635c4762a1bSJed Brown       }
636c4762a1bSJed Brown       else { /* left of discontinuity (0) */
637c4762a1bSJed Brown         uu->r = 1.; /* rho = 1 */
638c4762a1bSJed Brown         uu->E = p0/(gamma-1.0);
639c4762a1bSJed Brown       }
640c4762a1bSJed Brown     }
641c4762a1bSJed Brown     else { /* right of discontinuity (2) */
642c4762a1bSJed Brown       uu->r = eu->pars[EULER_PAR_RHOR];
643c4762a1bSJed Brown       uu->E = p0/(gamma-1.0);
644c4762a1bSJed Brown     }
645c4762a1bSJed Brown   }
646c4762a1bSJed Brown   else if (eu->type==EULER_SHOCK_TUBE) {
647c4762a1bSJed Brown     /* For (x<x0) set (rho,u,p)=(8,0,10) and for (x>x0) set (rho,u,p)=(1,0,1). Choose x0 to the midpoint of the domain in the x-direction. */
648c4762a1bSJed Brown     if (x[0] < 0.0) {
649c4762a1bSJed Brown       uu->r = 8.;
650c4762a1bSJed Brown       uu->E = 10./(gamma-1.);
651c4762a1bSJed Brown     }
652c4762a1bSJed Brown     else {
653c4762a1bSJed Brown       uu->r = 1.;
654c4762a1bSJed Brown       uu->E = 1./(gamma-1.);
655c4762a1bSJed Brown     }
656c4762a1bSJed Brown   }
657c4762a1bSJed Brown   else if (eu->type==EULER_LINEAR_WAVE) {
658c4762a1bSJed Brown     initLinearWave( uu, gamma, x, mod->bounds[1] - mod->bounds[0]);
659c4762a1bSJed Brown   }
660c4762a1bSJed Brown   else SETERRQ1(mod->comm,PETSC_ERR_SUP,"Unknown type %d",eu->type);
661c4762a1bSJed Brown 
662c4762a1bSJed Brown   /* set phys->maxspeed: (mod->maxspeed = phys->maxspeed) in main; */
663c4762a1bSJed Brown   eu->sound(&gamma,uu,&c);
664c4762a1bSJed Brown   c = (uu->ru[0]/uu->r) + c;
665c4762a1bSJed Brown   if (c > phys->maxspeed) phys->maxspeed = c;
666c4762a1bSJed Brown 
667c4762a1bSJed Brown   PetscFunctionReturn(0);
668c4762a1bSJed Brown }
669c4762a1bSJed Brown 
670c4762a1bSJed Brown static PetscErrorCode Pressure_PG(const PetscReal gamma,const EulerNode *x,PetscReal *p)
671c4762a1bSJed Brown {
672c4762a1bSJed Brown   PetscReal ru2;
673c4762a1bSJed Brown 
674c4762a1bSJed Brown   PetscFunctionBeginUser;
675c4762a1bSJed Brown   ru2  = DotDIMReal(x->ru,x->ru);
676c4762a1bSJed Brown   (*p)=(x->E - 0.5*ru2/x->r)*(gamma - 1.0); /* (E - rho V^2/2)(gamma-1) = e rho (gamma-1) */
677c4762a1bSJed Brown   PetscFunctionReturn(0);
678c4762a1bSJed Brown }
679c4762a1bSJed Brown 
680c4762a1bSJed Brown static PetscErrorCode SpeedOfSound_PG(const PetscReal *gamma, const EulerNode *x, PetscReal *c)
681c4762a1bSJed Brown {
682c4762a1bSJed Brown   PetscReal p;
683c4762a1bSJed Brown 
684c4762a1bSJed Brown   PetscFunctionBeginUser;
685c4762a1bSJed Brown   Pressure_PG(*gamma,x,&p);
686c4762a1bSJed Brown   if (p<0.) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"negative pressure time %g -- NEED TO FIX!!!!!!",(double) p);
687c4762a1bSJed Brown   /* pars[EULER_PAR_GAMMA] = heat capacity ratio */
688c4762a1bSJed Brown   (*c)=PetscSqrtReal(*gamma * p / x->r);
689c4762a1bSJed Brown   PetscFunctionReturn(0);
690c4762a1bSJed Brown }
691c4762a1bSJed Brown 
692c4762a1bSJed Brown /*
693c4762a1bSJed Brown  * x = (rho,rho*(u_1),...,rho*e)^T
694c4762a1bSJed Brown  * x_t+div(f_1(x))+...+div(f_DIM(x)) = 0
695c4762a1bSJed Brown  *
696c4762a1bSJed Brown  * f_i(x) = u_i*x+(0,0,...,p,...,p*u_i)^T
697c4762a1bSJed Brown  *
698c4762a1bSJed Brown  */
699c4762a1bSJed Brown static PetscErrorCode EulerFlux(Physics phys,const PetscReal *n,const EulerNode *x,EulerNode *f)
700c4762a1bSJed Brown {
701c4762a1bSJed Brown   Physics_Euler *eu = (Physics_Euler*)phys->data;
702c4762a1bSJed Brown   PetscReal     nu,p;
703c4762a1bSJed Brown   PetscInt      i;
704c4762a1bSJed Brown 
705c4762a1bSJed Brown   PetscFunctionBeginUser;
706c4762a1bSJed Brown   Pressure_PG(eu->pars[EULER_PAR_GAMMA],x,&p);
707c4762a1bSJed Brown   nu = DotDIMReal(x->ru,n);
708c4762a1bSJed Brown   f->r = nu;   /* A rho u */
709c4762a1bSJed Brown   nu /= x->r;  /* A u */
710c4762a1bSJed Brown   for (i=0; i<DIM; i++) f->ru[i] = nu * x->ru[i] + n[i]*p;  /* r u^2 + p */
711c4762a1bSJed Brown   f->E = nu * (x->E + p); /* u(e+p) */
712c4762a1bSJed Brown   PetscFunctionReturn(0);
713c4762a1bSJed Brown }
714c4762a1bSJed Brown 
715c4762a1bSJed Brown /* PetscReal* => EulerNode* conversion */
716c4762a1bSJed Brown static PetscErrorCode PhysicsBoundary_Euler_Wall(PetscReal time, const PetscReal *c, const PetscReal *n, const PetscScalar *a_xI, PetscScalar *a_xG, void *ctx)
717c4762a1bSJed Brown {
718c4762a1bSJed Brown   PetscInt    i;
719c4762a1bSJed Brown   const EulerNode *xI = (const EulerNode*)a_xI;
720c4762a1bSJed Brown   EulerNode       *xG = (EulerNode*)a_xG;
721c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
722c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
723c4762a1bSJed Brown   PetscFunctionBeginUser;
724c4762a1bSJed Brown   xG->r = xI->r;           /* ghost cell density - same */
725c4762a1bSJed Brown   xG->E = xI->E;           /* ghost cell energy - same */
726c4762a1bSJed Brown   if (n[1] != 0.) {        /* top and bottom */
727c4762a1bSJed Brown     xG->ru[0] =  xI->ru[0]; /* copy tang to wall */
728c4762a1bSJed Brown     xG->ru[1] = -xI->ru[1]; /* reflect perp to t/b wall */
729c4762a1bSJed Brown   }
730c4762a1bSJed Brown   else { /* sides */
731c4762a1bSJed Brown     for (i=0; i<DIM; i++) xG->ru[i] = xI->ru[i]; /* copy */
732c4762a1bSJed Brown   }
733c4762a1bSJed Brown   if (eu->type == EULER_LINEAR_WAVE) { /* debug */
734c4762a1bSJed Brown #if 0
735c4762a1bSJed Brown     PetscPrintf(PETSC_COMM_WORLD,"%s coord=%g,%g\n",PETSC_FUNCTION_NAME,c[0],c[1]);
736c4762a1bSJed Brown #endif
737c4762a1bSJed Brown   }
738c4762a1bSJed Brown   PetscFunctionReturn(0);
739c4762a1bSJed Brown }
740c4762a1bSJed Brown int godunovflux( const PetscScalar *ul, const PetscScalar *ur, PetscScalar *flux, const PetscReal *nn, const int *ndim, const PetscReal *gamma);
741c4762a1bSJed Brown /* PetscReal* => EulerNode* conversion */
742c4762a1bSJed Brown static void PhysicsRiemann_Euler_Godunov( PetscInt dim, PetscInt Nf, const PetscReal *qp, const PetscReal *n,
743c4762a1bSJed Brown                                           const PetscScalar *xL, const PetscScalar *xR, PetscInt numConstants, const PetscScalar constants[], PetscScalar *flux, Physics phys)
744c4762a1bSJed Brown {
745c4762a1bSJed Brown   Physics_Euler   *eu = (Physics_Euler*)phys->data;
746c4762a1bSJed Brown   PetscReal       cL,cR,speed,velL,velR,nn[DIM],s2;
747c4762a1bSJed Brown   PetscInt        i;
748c4762a1bSJed Brown   PetscErrorCode  ierr;
749c4762a1bSJed Brown   PetscFunctionBeginUser;
750c4762a1bSJed Brown 
751c4762a1bSJed Brown   for (i=0,s2=0.; i<DIM; i++) {
752c4762a1bSJed Brown     nn[i] = n[i];
753c4762a1bSJed Brown     s2 += nn[i]*nn[i];
754c4762a1bSJed Brown   }
755c4762a1bSJed Brown   s2 = PetscSqrtReal(s2); /* |n|_2 = sum(n^2)^1/2 */
756c4762a1bSJed Brown   for (i=0.; i<DIM; i++) nn[i] /= s2;
757c4762a1bSJed Brown   if (0) { /* Rusanov */
758c4762a1bSJed Brown     const EulerNode *uL = (const EulerNode*)xL,*uR = (const EulerNode*)xR;
759c4762a1bSJed Brown     EulerNodeUnion  fL,fR;
760c4762a1bSJed Brown     EulerFlux(phys,nn,uL,&(fL.eulernode));
761c4762a1bSJed Brown     EulerFlux(phys,nn,uR,&(fR.eulernode));
762c4762a1bSJed Brown     ierr = eu->sound(&eu->pars[EULER_PAR_GAMMA],uL,&cL);if (ierr) exit(13);
763c4762a1bSJed Brown     ierr = eu->sound(&eu->pars[EULER_PAR_GAMMA],uR,&cR);if (ierr) exit(14);
764c4762a1bSJed Brown     velL = DotDIMReal(uL->ru,nn)/uL->r;
765c4762a1bSJed Brown     velR = DotDIMReal(uR->ru,nn)/uR->r;
766c4762a1bSJed Brown     speed = PetscMax(velR + cR, velL + cL);
767c4762a1bSJed Brown     for (i=0; i<2+dim; i++) flux[i] = 0.5*((fL.vals[i]+fR.vals[i]) + speed*(xL[i] - xR[i]))*s2;
768c4762a1bSJed Brown   }
769c4762a1bSJed Brown   else {
770c4762a1bSJed Brown     int dim = DIM;
771c4762a1bSJed Brown     /* int iwave =  */
772c4762a1bSJed Brown     godunovflux(xL, xR, flux, nn, &dim, &eu->pars[EULER_PAR_GAMMA]);
773c4762a1bSJed Brown     for (i=0; i<2+dim; i++) flux[i] *= s2;
774c4762a1bSJed Brown   }
775c4762a1bSJed Brown   PetscFunctionReturnVoid();
776c4762a1bSJed Brown }
777c4762a1bSJed Brown 
778c4762a1bSJed Brown static PetscErrorCode PhysicsFunctional_Euler(Model mod,PetscReal time,const PetscReal *coord,const PetscScalar *xx,PetscReal *f,void *ctx)
779c4762a1bSJed Brown {
780c4762a1bSJed Brown   Physics         phys = (Physics)ctx;
781c4762a1bSJed Brown   Physics_Euler   *eu  = (Physics_Euler*)phys->data;
782c4762a1bSJed Brown   const EulerNode *x   = (const EulerNode*)xx;
783c4762a1bSJed Brown   PetscReal       p;
784c4762a1bSJed Brown 
785c4762a1bSJed Brown   PetscFunctionBeginUser;
786c4762a1bSJed Brown   f[eu->monitor.Density]  = x->r;
787c4762a1bSJed Brown   f[eu->monitor.Momentum] = NormDIM(x->ru);
788c4762a1bSJed Brown   f[eu->monitor.Energy]   = x->E;
789c4762a1bSJed Brown   f[eu->monitor.Speed]    = NormDIM(x->ru)/x->r;
790c4762a1bSJed Brown   Pressure_PG(eu->pars[EULER_PAR_GAMMA], x, &p);
791c4762a1bSJed Brown   f[eu->monitor.Pressure] = p;
792c4762a1bSJed Brown   PetscFunctionReturn(0);
793c4762a1bSJed Brown }
794c4762a1bSJed Brown 
795*45480ffeSMatthew G. Knepley static PetscErrorCode SetUpBC_Euler(DM dm, PetscDS prob,Physics phys)
796c4762a1bSJed Brown {
797c4762a1bSJed Brown   PetscErrorCode  ierr;
798c4762a1bSJed Brown   Physics_Euler   *eu = (Physics_Euler *) phys->data;
799*45480ffeSMatthew G. Knepley   DMLabel         label;
800*45480ffeSMatthew G. Knepley 
801*45480ffeSMatthew G. Knepley   ierr = DMGetLabel(dm, "Face Sets", &label);CHKERRQ(ierr);
802c4762a1bSJed Brown   if (eu->type == EULER_LINEAR_WAVE) {
803c4762a1bSJed Brown     const PetscInt wallids[] = {100,101};
804*45480ffeSMatthew G. Knepley     ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, ALEN(wallids), wallids, 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Euler_Wall, NULL, phys, NULL);CHKERRQ(ierr);
805c4762a1bSJed Brown   }
806c4762a1bSJed Brown   else {
807c4762a1bSJed Brown     const PetscInt wallids[] = {100,101,200,300};
808*45480ffeSMatthew G. Knepley     ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL_RIEMANN, "wall", label, ALEN(wallids), wallids, 0, 0, NULL, (void (*)(void)) PhysicsBoundary_Euler_Wall, NULL, phys, NULL);CHKERRQ(ierr);
809c4762a1bSJed Brown   }
810c4762a1bSJed Brown   PetscFunctionReturn(0);
811c4762a1bSJed Brown }
812c4762a1bSJed Brown 
813c4762a1bSJed Brown static PetscErrorCode PhysicsCreate_Euler(Model mod,Physics phys,PetscOptionItems *PetscOptionsObject)
814c4762a1bSJed Brown {
815c4762a1bSJed Brown   Physics_Euler   *eu;
816c4762a1bSJed Brown   PetscErrorCode  ierr;
817c4762a1bSJed Brown 
818c4762a1bSJed Brown   PetscFunctionBeginUser;
819c4762a1bSJed Brown   phys->field_desc = PhysicsFields_Euler;
820c4762a1bSJed Brown   phys->riemann = (PetscRiemannFunc) PhysicsRiemann_Euler_Godunov;
821c4762a1bSJed Brown   ierr = PetscNew(&eu);CHKERRQ(ierr);
822c4762a1bSJed Brown   phys->data    = eu;
823c4762a1bSJed Brown   mod->setupbc = SetUpBC_Euler;
824c4762a1bSJed Brown   ierr = PetscOptionsHead(PetscOptionsObject,"Euler options");CHKERRQ(ierr);
825c4762a1bSJed Brown   {
826c4762a1bSJed Brown     PetscReal alpha;
827c4762a1bSJed Brown     char type[64] = "linear_wave";
828c4762a1bSJed Brown     PetscBool  is;
829c4762a1bSJed Brown     mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_GHOSTED;
830c4762a1bSJed Brown     eu->pars[EULER_PAR_GAMMA] = 1.4;
831c4762a1bSJed Brown     eu->pars[EULER_PAR_AMACH] = 2.02;
832c4762a1bSJed Brown     eu->pars[EULER_PAR_RHOR] = 3.0;
833c4762a1bSJed Brown     eu->pars[EULER_PAR_ITANA] = 0.57735026918963; /* angle of Euler self similar (SS) shock */
834c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_gamma","Heat capacity ratio","",eu->pars[EULER_PAR_GAMMA],&eu->pars[EULER_PAR_GAMMA],NULL);CHKERRQ(ierr);
835c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_amach","Shock speed (Mach)","",eu->pars[EULER_PAR_AMACH],&eu->pars[EULER_PAR_AMACH],NULL);CHKERRQ(ierr);
836c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_rho2","Density right of discontinuity","",eu->pars[EULER_PAR_RHOR],&eu->pars[EULER_PAR_RHOR],NULL);CHKERRQ(ierr);
837c4762a1bSJed Brown     alpha = 60.;
838c4762a1bSJed Brown     ierr = PetscOptionsReal("-eu_alpha","Angle of discontinuity","",alpha,&alpha,NULL);CHKERRQ(ierr);
839c4762a1bSJed Brown     if (alpha<=0. || alpha>90.) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Alpha bust be > 0 and <= 90 (%g)",alpha);
840c4762a1bSJed Brown     eu->pars[EULER_PAR_ITANA] = 1./PetscTanReal( alpha * PETSC_PI / 180.0);
841c4762a1bSJed Brown     ierr = PetscOptionsString("-eu_type","Type of Euler test","",type,type,sizeof(type),NULL);CHKERRQ(ierr);
842c4762a1bSJed Brown     ierr = PetscStrcmp(type,"linear_wave", &is);CHKERRQ(ierr);
843c4762a1bSJed Brown     if (is) {
844c4762a1bSJed Brown       eu->type = EULER_LINEAR_WAVE;
845c4762a1bSJed Brown       mod->bcs[0] = mod->bcs[1] = mod->bcs[2] = DM_BOUNDARY_PERIODIC;
846c4762a1bSJed Brown       mod->bcs[1] = DM_BOUNDARY_GHOSTED; /* debug */
847c4762a1bSJed Brown       ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"linear_wave");CHKERRQ(ierr);
848c4762a1bSJed Brown     }
849c4762a1bSJed Brown     else {
850c4762a1bSJed Brown       if (DIM != 2) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"DIM must be 2 unless linear wave test %s",type);
851c4762a1bSJed Brown       ierr = PetscStrcmp(type,"iv_shock", &is);CHKERRQ(ierr);
852c4762a1bSJed Brown       if (is) {
853c4762a1bSJed Brown         eu->type = EULER_IV_SHOCK;
854c4762a1bSJed Brown         ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"iv_shock");CHKERRQ(ierr);
855c4762a1bSJed Brown       }
856c4762a1bSJed Brown       else {
857c4762a1bSJed Brown         ierr = PetscStrcmp(type,"ss_shock", &is);CHKERRQ(ierr);
858c4762a1bSJed Brown         if (is) {
859c4762a1bSJed Brown           eu->type = EULER_SS_SHOCK;
860c4762a1bSJed Brown           ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"ss_shock");CHKERRQ(ierr);
861c4762a1bSJed Brown         }
862c4762a1bSJed Brown         else {
863c4762a1bSJed Brown           ierr = PetscStrcmp(type,"shock_tube", &is);CHKERRQ(ierr);
864c4762a1bSJed Brown           if (is) eu->type = EULER_SHOCK_TUBE;
865c4762a1bSJed Brown           else SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Unknown Euler type %s",type);
866c4762a1bSJed Brown           ierr = PetscPrintf(PETSC_COMM_WORLD,"%s set Euler type: %s\n",PETSC_FUNCTION_NAME,"shock_tube");CHKERRQ(ierr);
867c4762a1bSJed Brown         }
868c4762a1bSJed Brown       }
869c4762a1bSJed Brown     }
870c4762a1bSJed Brown   }
871c4762a1bSJed Brown   ierr = PetscOptionsTail();CHKERRQ(ierr);
872c4762a1bSJed Brown   eu->sound = SpeedOfSound_PG;
873c4762a1bSJed Brown   phys->maxspeed = 0.; /* will get set in solution */
874c4762a1bSJed Brown   ierr = ModelSolutionSetDefault(mod,PhysicsSolution_Euler,phys);CHKERRQ(ierr);
875c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Speed",&eu->monitor.Speed,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
876c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Energy",&eu->monitor.Energy,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
877c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Density",&eu->monitor.Density,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
878c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Momentum",&eu->monitor.Momentum,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
879c4762a1bSJed Brown   ierr = ModelFunctionalRegister(mod,"Pressure",&eu->monitor.Pressure,PhysicsFunctional_Euler,phys);CHKERRQ(ierr);
880c4762a1bSJed Brown 
881c4762a1bSJed Brown   PetscFunctionReturn(0);
882c4762a1bSJed Brown }
883c4762a1bSJed Brown 
884c4762a1bSJed Brown static PetscErrorCode ErrorIndicator_Simple(PetscInt dim, PetscReal volume, PetscInt numComps, const PetscScalar u[], const PetscScalar grad[], PetscReal *error, void *ctx)
885c4762a1bSJed Brown {
886c4762a1bSJed Brown   PetscReal      err = 0.;
887c4762a1bSJed Brown   PetscInt       i, j;
888c4762a1bSJed Brown 
889c4762a1bSJed Brown   PetscFunctionBeginUser;
890c4762a1bSJed Brown   for (i = 0; i < numComps; i++) {
891c4762a1bSJed Brown     for (j = 0; j < dim; j++) {
892c4762a1bSJed Brown       err += PetscSqr(PetscRealPart(grad[i * dim + j]));
893c4762a1bSJed Brown     }
894c4762a1bSJed Brown   }
895c4762a1bSJed Brown   *error = volume * err;
896c4762a1bSJed Brown   PetscFunctionReturn(0);
897c4762a1bSJed Brown }
898c4762a1bSJed Brown 
899c4762a1bSJed Brown PetscErrorCode ConstructCellBoundary(DM dm, User user)
900c4762a1bSJed Brown {
901c4762a1bSJed Brown   const char     *name   = "Cell Sets";
902c4762a1bSJed Brown   const char     *bdname = "split faces";
903c4762a1bSJed Brown   IS             regionIS, innerIS;
904c4762a1bSJed Brown   const PetscInt *regions, *cells;
905c4762a1bSJed Brown   PetscInt       numRegions, innerRegion, numCells, c;
906c4762a1bSJed Brown   PetscInt       cStart, cEnd, cEndInterior, fStart, fEnd;
907c4762a1bSJed Brown   PetscBool      hasLabel;
908c4762a1bSJed Brown   PetscErrorCode ierr;
909c4762a1bSJed Brown 
910c4762a1bSJed Brown   PetscFunctionBeginUser;
911c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
912c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
913c4762a1bSJed Brown   ierr = DMPlexGetGhostCellStratum(dm, &cEndInterior, NULL);CHKERRQ(ierr);
914c4762a1bSJed Brown 
915c4762a1bSJed Brown   ierr = DMHasLabel(dm, name, &hasLabel);CHKERRQ(ierr);
916c4762a1bSJed Brown   if (!hasLabel) PetscFunctionReturn(0);
917c4762a1bSJed Brown   ierr = DMGetLabelSize(dm, name, &numRegions);CHKERRQ(ierr);
918c4762a1bSJed Brown   if (numRegions != 2) PetscFunctionReturn(0);
919c4762a1bSJed Brown   /* Get the inner id */
920c4762a1bSJed Brown   ierr = DMGetLabelIdIS(dm, name, &regionIS);CHKERRQ(ierr);
921c4762a1bSJed Brown   ierr = ISGetIndices(regionIS, &regions);CHKERRQ(ierr);
922c4762a1bSJed Brown   innerRegion = regions[0];
923c4762a1bSJed Brown   ierr = ISRestoreIndices(regionIS, &regions);CHKERRQ(ierr);
924c4762a1bSJed Brown   ierr = ISDestroy(&regionIS);CHKERRQ(ierr);
925c4762a1bSJed Brown   /* Find the faces between cells in different regions, could call DMPlexCreateNeighborCSR() */
926c4762a1bSJed Brown   ierr = DMGetStratumIS(dm, name, innerRegion, &innerIS);CHKERRQ(ierr);
927c4762a1bSJed Brown   ierr = ISGetLocalSize(innerIS, &numCells);CHKERRQ(ierr);
928c4762a1bSJed Brown   ierr = ISGetIndices(innerIS, &cells);CHKERRQ(ierr);
929c4762a1bSJed Brown   ierr = DMCreateLabel(dm, bdname);CHKERRQ(ierr);
930c4762a1bSJed Brown   for (c = 0; c < numCells; ++c) {
931c4762a1bSJed Brown     const PetscInt cell = cells[c];
932c4762a1bSJed Brown     const PetscInt *faces;
933c4762a1bSJed Brown     PetscInt       numFaces, f;
934c4762a1bSJed Brown 
935c4762a1bSJed Brown     if ((cell < cStart) || (cell >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", cell);
936c4762a1bSJed Brown     ierr = DMPlexGetConeSize(dm, cell, &numFaces);CHKERRQ(ierr);
937c4762a1bSJed Brown     ierr = DMPlexGetCone(dm, cell, &faces);CHKERRQ(ierr);
938c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f) {
939c4762a1bSJed Brown       const PetscInt face = faces[f];
940c4762a1bSJed Brown       const PetscInt *neighbors;
941c4762a1bSJed Brown       PetscInt       nC, regionA, regionB;
942c4762a1bSJed Brown 
943c4762a1bSJed Brown       if ((face < fStart) || (face >= fEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a face", face);
944c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, face, &nC);CHKERRQ(ierr);
945c4762a1bSJed Brown       if (nC != 2) continue;
946c4762a1bSJed Brown       ierr = DMPlexGetSupport(dm, face, &neighbors);CHKERRQ(ierr);
947c4762a1bSJed Brown       if ((neighbors[0] >= cEndInterior) || (neighbors[1] >= cEndInterior)) continue;
948c4762a1bSJed Brown       if ((neighbors[0] < cStart) || (neighbors[0] >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", neighbors[0]);
949c4762a1bSJed Brown       if ((neighbors[1] < cStart) || (neighbors[1] >= cEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_LIB, "Got invalid point %d which is not a cell", neighbors[1]);
950c4762a1bSJed Brown       ierr = DMGetLabelValue(dm, name, neighbors[0], &regionA);CHKERRQ(ierr);
951c4762a1bSJed Brown       ierr = DMGetLabelValue(dm, name, neighbors[1], &regionB);CHKERRQ(ierr);
952c4762a1bSJed Brown       if (regionA < 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid label %s: Cell %d has no value", name, neighbors[0]);
953c4762a1bSJed Brown       if (regionB < 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid label %s: Cell %d has no value", name, neighbors[1]);
954c4762a1bSJed Brown       if (regionA != regionB) {
955c4762a1bSJed Brown         ierr = DMSetLabelValue(dm, bdname, faces[f], 1);CHKERRQ(ierr);
956c4762a1bSJed Brown       }
957c4762a1bSJed Brown     }
958c4762a1bSJed Brown   }
959c4762a1bSJed Brown   ierr = ISRestoreIndices(innerIS, &cells);CHKERRQ(ierr);
960c4762a1bSJed Brown   ierr = ISDestroy(&innerIS);CHKERRQ(ierr);
961c4762a1bSJed Brown   {
962c4762a1bSJed Brown     DMLabel label;
963c4762a1bSJed Brown 
964c4762a1bSJed Brown     ierr = DMGetLabel(dm, bdname, &label);CHKERRQ(ierr);
965c4762a1bSJed Brown     ierr = DMLabelView(label, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
966c4762a1bSJed Brown   }
967c4762a1bSJed Brown   PetscFunctionReturn(0);
968c4762a1bSJed Brown }
969c4762a1bSJed Brown 
970c4762a1bSJed Brown /* Right now, I have just added duplicate faces, which see both cells. We can
971c4762a1bSJed Brown - Add duplicate vertices and decouple the face cones
972c4762a1bSJed Brown - Disconnect faces from cells across the rotation gap
973c4762a1bSJed Brown */
974c4762a1bSJed Brown PetscErrorCode SplitFaces(DM *dmSplit, const char labelName[], User user)
975c4762a1bSJed Brown {
976c4762a1bSJed Brown   DM             dm = *dmSplit, sdm;
977c4762a1bSJed Brown   PetscSF        sfPoint, gsfPoint;
978c4762a1bSJed Brown   PetscSection   coordSection, newCoordSection;
979c4762a1bSJed Brown   Vec            coordinates;
980c4762a1bSJed Brown   IS             idIS;
981c4762a1bSJed Brown   const PetscInt *ids;
982c4762a1bSJed Brown   PetscInt       *newpoints;
983c4762a1bSJed Brown   PetscInt       dim, depth, maxConeSize, maxSupportSize, numLabels, numGhostCells;
984c4762a1bSJed Brown   PetscInt       numFS, fs, pStart, pEnd, p, cEnd, cEndInterior, vStart, vEnd, v, fStart, fEnd, newf, d, l;
985c4762a1bSJed Brown   PetscBool      hasLabel;
986c4762a1bSJed Brown   PetscErrorCode ierr;
987c4762a1bSJed Brown 
988c4762a1bSJed Brown   PetscFunctionBeginUser;
989c4762a1bSJed Brown   ierr = DMHasLabel(dm, labelName, &hasLabel);CHKERRQ(ierr);
990c4762a1bSJed Brown   if (!hasLabel) PetscFunctionReturn(0);
991c4762a1bSJed Brown   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &sdm);CHKERRQ(ierr);
992c4762a1bSJed Brown   ierr = DMSetType(sdm, DMPLEX);CHKERRQ(ierr);
993c4762a1bSJed Brown   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
994c4762a1bSJed Brown   ierr = DMSetDimension(sdm, dim);CHKERRQ(ierr);
995c4762a1bSJed Brown 
996c4762a1bSJed Brown   ierr = DMGetLabelIdIS(dm, labelName, &idIS);CHKERRQ(ierr);
997c4762a1bSJed Brown   ierr = ISGetLocalSize(idIS, &numFS);CHKERRQ(ierr);
998c4762a1bSJed Brown   ierr = ISGetIndices(idIS, &ids);CHKERRQ(ierr);
999c4762a1bSJed Brown 
1000c4762a1bSJed Brown   user->numSplitFaces = 0;
1001c4762a1bSJed Brown   for (fs = 0; fs < numFS; ++fs) {
1002c4762a1bSJed Brown     PetscInt numBdFaces;
1003c4762a1bSJed Brown 
1004c4762a1bSJed Brown     ierr = DMGetStratumSize(dm, labelName, ids[fs], &numBdFaces);CHKERRQ(ierr);
1005c4762a1bSJed Brown     user->numSplitFaces += numBdFaces;
1006c4762a1bSJed Brown   }
1007c4762a1bSJed Brown   ierr  = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1008c4762a1bSJed Brown   pEnd += user->numSplitFaces;
1009c4762a1bSJed Brown   ierr  = DMPlexSetChart(sdm, pStart, pEnd);CHKERRQ(ierr);
1010c4762a1bSJed Brown   ierr  = DMPlexGetGhostCellStratum(dm, &cEndInterior, NULL);CHKERRQ(ierr);
1011c4762a1bSJed Brown   ierr  = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
1012c4762a1bSJed Brown   numGhostCells = cEnd - cEndInterior;
1013c4762a1bSJed Brown   /* Set cone and support sizes */
1014c4762a1bSJed Brown   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1015c4762a1bSJed Brown   for (d = 0; d <= depth; ++d) {
1016c4762a1bSJed Brown     ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
1017c4762a1bSJed Brown     for (p = pStart; p < pEnd; ++p) {
1018c4762a1bSJed Brown       PetscInt newp = p;
1019c4762a1bSJed Brown       PetscInt size;
1020c4762a1bSJed Brown 
1021c4762a1bSJed Brown       ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
1022c4762a1bSJed Brown       ierr = DMPlexSetConeSize(sdm, newp, size);CHKERRQ(ierr);
1023c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
1024c4762a1bSJed Brown       ierr = DMPlexSetSupportSize(sdm, newp, size);CHKERRQ(ierr);
1025c4762a1bSJed Brown     }
1026c4762a1bSJed Brown   }
1027c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
1028c4762a1bSJed Brown   for (fs = 0, newf = fEnd; fs < numFS; ++fs) {
1029c4762a1bSJed Brown     IS             faceIS;
1030c4762a1bSJed Brown     const PetscInt *faces;
1031c4762a1bSJed Brown     PetscInt       numFaces, f;
1032c4762a1bSJed Brown 
1033c4762a1bSJed Brown     ierr = DMGetStratumIS(dm, labelName, ids[fs], &faceIS);CHKERRQ(ierr);
1034c4762a1bSJed Brown     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
1035c4762a1bSJed Brown     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
1036c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f, ++newf) {
1037c4762a1bSJed Brown       PetscInt size;
1038c4762a1bSJed Brown 
1039c4762a1bSJed Brown       /* Right now I think that both faces should see both cells */
1040c4762a1bSJed Brown       ierr = DMPlexGetConeSize(dm, faces[f], &size);CHKERRQ(ierr);
1041c4762a1bSJed Brown       ierr = DMPlexSetConeSize(sdm, newf, size);CHKERRQ(ierr);
1042c4762a1bSJed Brown       ierr = DMPlexGetSupportSize(dm, faces[f], &size);CHKERRQ(ierr);
1043c4762a1bSJed Brown       ierr = DMPlexSetSupportSize(sdm, newf, size);CHKERRQ(ierr);
1044c4762a1bSJed Brown     }
1045c4762a1bSJed Brown     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
1046c4762a1bSJed Brown     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
1047c4762a1bSJed Brown   }
1048c4762a1bSJed Brown   ierr = DMSetUp(sdm);CHKERRQ(ierr);
1049c4762a1bSJed Brown   /* Set cones and supports */
1050c4762a1bSJed Brown   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
1051c4762a1bSJed Brown   ierr = PetscMalloc1(PetscMax(maxConeSize, maxSupportSize), &newpoints);CHKERRQ(ierr);
1052c4762a1bSJed Brown   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1053c4762a1bSJed Brown   for (p = pStart; p < pEnd; ++p) {
1054c4762a1bSJed Brown     const PetscInt *points, *orientations;
1055c4762a1bSJed Brown     PetscInt       size, i, newp = p;
1056c4762a1bSJed Brown 
1057c4762a1bSJed Brown     ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
1058c4762a1bSJed Brown     ierr = DMPlexGetCone(dm, p, &points);CHKERRQ(ierr);
1059c4762a1bSJed Brown     ierr = DMPlexGetConeOrientation(dm, p, &orientations);CHKERRQ(ierr);
1060c4762a1bSJed Brown     for (i = 0; i < size; ++i) newpoints[i] = points[i];
1061c4762a1bSJed Brown     ierr = DMPlexSetCone(sdm, newp, newpoints);CHKERRQ(ierr);
1062c4762a1bSJed Brown     ierr = DMPlexSetConeOrientation(sdm, newp, orientations);CHKERRQ(ierr);
1063c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
1064c4762a1bSJed Brown     ierr = DMPlexGetSupport(dm, p, &points);CHKERRQ(ierr);
1065c4762a1bSJed Brown     for (i = 0; i < size; ++i) newpoints[i] = points[i];
1066c4762a1bSJed Brown     ierr = DMPlexSetSupport(sdm, newp, newpoints);CHKERRQ(ierr);
1067c4762a1bSJed Brown   }
1068c4762a1bSJed Brown   ierr = PetscFree(newpoints);CHKERRQ(ierr);
1069c4762a1bSJed Brown   for (fs = 0, newf = fEnd; fs < numFS; ++fs) {
1070c4762a1bSJed Brown     IS             faceIS;
1071c4762a1bSJed Brown     const PetscInt *faces;
1072c4762a1bSJed Brown     PetscInt       numFaces, f;
1073c4762a1bSJed Brown 
1074c4762a1bSJed Brown     ierr = DMGetStratumIS(dm, labelName, ids[fs], &faceIS);CHKERRQ(ierr);
1075c4762a1bSJed Brown     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
1076c4762a1bSJed Brown     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
1077c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f, ++newf) {
1078c4762a1bSJed Brown       const PetscInt *points;
1079c4762a1bSJed Brown 
1080c4762a1bSJed Brown       ierr = DMPlexGetCone(dm, faces[f], &points);CHKERRQ(ierr);
1081c4762a1bSJed Brown       ierr = DMPlexSetCone(sdm, newf, points);CHKERRQ(ierr);
1082c4762a1bSJed Brown       ierr = DMPlexGetSupport(dm, faces[f], &points);CHKERRQ(ierr);
1083c4762a1bSJed Brown       ierr = DMPlexSetSupport(sdm, newf, points);CHKERRQ(ierr);
1084c4762a1bSJed Brown     }
1085c4762a1bSJed Brown     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
1086c4762a1bSJed Brown     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
1087c4762a1bSJed Brown   }
1088c4762a1bSJed Brown   ierr = ISRestoreIndices(idIS, &ids);CHKERRQ(ierr);
1089c4762a1bSJed Brown   ierr = ISDestroy(&idIS);CHKERRQ(ierr);
1090c4762a1bSJed Brown   ierr = DMPlexStratify(sdm);CHKERRQ(ierr);
1091c4762a1bSJed Brown   /* Convert coordinates */
1092c4762a1bSJed Brown   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1093c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1094c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &newCoordSection);CHKERRQ(ierr);
1095c4762a1bSJed Brown   ierr = PetscSectionSetNumFields(newCoordSection, 1);CHKERRQ(ierr);
1096c4762a1bSJed Brown   ierr = PetscSectionSetFieldComponents(newCoordSection, 0, dim);CHKERRQ(ierr);
1097c4762a1bSJed Brown   ierr = PetscSectionSetChart(newCoordSection, vStart, vEnd);CHKERRQ(ierr);
1098c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1099c4762a1bSJed Brown     ierr = PetscSectionSetDof(newCoordSection, v, dim);CHKERRQ(ierr);
1100c4762a1bSJed Brown     ierr = PetscSectionSetFieldDof(newCoordSection, v, 0, dim);CHKERRQ(ierr);
1101c4762a1bSJed Brown   }
1102c4762a1bSJed Brown   ierr = PetscSectionSetUp(newCoordSection);CHKERRQ(ierr);
1103c4762a1bSJed Brown   ierr = DMSetCoordinateSection(sdm, PETSC_DETERMINE, newCoordSection);CHKERRQ(ierr);
1104c4762a1bSJed Brown   ierr = PetscSectionDestroy(&newCoordSection);CHKERRQ(ierr); /* relinquish our reference */
1105c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1106c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(sdm, coordinates);CHKERRQ(ierr);
1107c4762a1bSJed Brown   /* Convert labels */
1108c4762a1bSJed Brown   ierr = DMGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
1109c4762a1bSJed Brown   for (l = 0; l < numLabels; ++l) {
1110c4762a1bSJed Brown     const char *lname;
1111c4762a1bSJed Brown     PetscBool  isDepth, isDim;
1112c4762a1bSJed Brown 
1113c4762a1bSJed Brown     ierr = DMGetLabelName(dm, l, &lname);CHKERRQ(ierr);
1114c4762a1bSJed Brown     ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
1115c4762a1bSJed Brown     if (isDepth) continue;
1116c4762a1bSJed Brown     ierr = PetscStrcmp(lname, "dim", &isDim);CHKERRQ(ierr);
1117c4762a1bSJed Brown     if (isDim) continue;
1118c4762a1bSJed Brown     ierr = DMCreateLabel(sdm, lname);CHKERRQ(ierr);
1119c4762a1bSJed Brown     ierr = DMGetLabelIdIS(dm, lname, &idIS);CHKERRQ(ierr);
1120c4762a1bSJed Brown     ierr = ISGetLocalSize(idIS, &numFS);CHKERRQ(ierr);
1121c4762a1bSJed Brown     ierr = ISGetIndices(idIS, &ids);CHKERRQ(ierr);
1122c4762a1bSJed Brown     for (fs = 0; fs < numFS; ++fs) {
1123c4762a1bSJed Brown       IS             pointIS;
1124c4762a1bSJed Brown       const PetscInt *points;
1125c4762a1bSJed Brown       PetscInt       numPoints;
1126c4762a1bSJed Brown 
1127c4762a1bSJed Brown       ierr = DMGetStratumIS(dm, lname, ids[fs], &pointIS);CHKERRQ(ierr);
1128c4762a1bSJed Brown       ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);
1129c4762a1bSJed Brown       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
1130c4762a1bSJed Brown       for (p = 0; p < numPoints; ++p) {
1131c4762a1bSJed Brown         PetscInt newpoint = points[p];
1132c4762a1bSJed Brown 
1133c4762a1bSJed Brown         ierr = DMSetLabelValue(sdm, lname, newpoint, ids[fs]);CHKERRQ(ierr);
1134c4762a1bSJed Brown       }
1135c4762a1bSJed Brown       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
1136c4762a1bSJed Brown       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1137c4762a1bSJed Brown     }
1138c4762a1bSJed Brown     ierr = ISRestoreIndices(idIS, &ids);CHKERRQ(ierr);
1139c4762a1bSJed Brown     ierr = ISDestroy(&idIS);CHKERRQ(ierr);
1140c4762a1bSJed Brown   }
1141c4762a1bSJed Brown   {
1142c4762a1bSJed Brown     /* Convert pointSF */
1143c4762a1bSJed Brown     const PetscSFNode *remotePoints;
1144c4762a1bSJed Brown     PetscSFNode       *gremotePoints;
1145c4762a1bSJed Brown     const PetscInt    *localPoints;
1146c4762a1bSJed Brown     PetscInt          *glocalPoints,*newLocation,*newRemoteLocation;
1147c4762a1bSJed Brown     PetscInt          numRoots, numLeaves;
1148c4762a1bSJed Brown     PetscMPIInt       size;
1149c4762a1bSJed Brown 
1150ffc4695bSBarry Smith     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRMPI(ierr);
1151c4762a1bSJed Brown     ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
1152c4762a1bSJed Brown     ierr = DMGetPointSF(sdm, &gsfPoint);CHKERRQ(ierr);
1153c4762a1bSJed Brown     ierr = DMPlexGetChart(dm,&pStart,&pEnd);CHKERRQ(ierr);
1154c4762a1bSJed Brown     ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
1155c4762a1bSJed Brown     if (numRoots >= 0) {
1156c4762a1bSJed Brown       ierr = PetscMalloc2(numRoots,&newLocation,pEnd-pStart,&newRemoteLocation);CHKERRQ(ierr);
1157c4762a1bSJed Brown       for (l=0; l<numRoots; l++) newLocation[l] = l; /* + (l >= cEnd ? numGhostCells : 0); */
1158ad227feaSJunchao Zhang       ierr = PetscSFBcastBegin(sfPoint, MPIU_INT, newLocation, newRemoteLocation,MPI_REPLACE);CHKERRQ(ierr);
1159ad227feaSJunchao Zhang       ierr = PetscSFBcastEnd(sfPoint, MPIU_INT, newLocation, newRemoteLocation,MPI_REPLACE);CHKERRQ(ierr);
1160c4762a1bSJed Brown       ierr = PetscMalloc1(numLeaves,    &glocalPoints);CHKERRQ(ierr);
1161c4762a1bSJed Brown       ierr = PetscMalloc1(numLeaves, &gremotePoints);CHKERRQ(ierr);
1162c4762a1bSJed Brown       for (l = 0; l < numLeaves; ++l) {
1163c4762a1bSJed Brown         glocalPoints[l]        = localPoints[l]; /* localPoints[l] >= cEnd ? localPoints[l] + numGhostCells : localPoints[l]; */
1164c4762a1bSJed Brown         gremotePoints[l].rank  = remotePoints[l].rank;
1165c4762a1bSJed Brown         gremotePoints[l].index = newRemoteLocation[localPoints[l]];
1166c4762a1bSJed Brown       }
1167c4762a1bSJed Brown       ierr = PetscFree2(newLocation,newRemoteLocation);CHKERRQ(ierr);
1168c4762a1bSJed Brown       ierr = PetscSFSetGraph(gsfPoint, numRoots+numGhostCells, numLeaves, glocalPoints, PETSC_OWN_POINTER, gremotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
1169c4762a1bSJed Brown     }
1170c4762a1bSJed Brown     ierr     = DMDestroy(dmSplit);CHKERRQ(ierr);
1171c4762a1bSJed Brown     *dmSplit = sdm;
1172c4762a1bSJed Brown   }
1173c4762a1bSJed Brown   PetscFunctionReturn(0);
1174c4762a1bSJed Brown }
1175c4762a1bSJed Brown 
1176c4762a1bSJed Brown PetscErrorCode CreatePartitionVec(DM dm, DM *dmCell, Vec *partition)
1177c4762a1bSJed Brown {
1178c4762a1bSJed Brown   PetscSF        sfPoint;
1179c4762a1bSJed Brown   PetscSection   coordSection;
1180c4762a1bSJed Brown   Vec            coordinates;
1181c4762a1bSJed Brown   PetscSection   sectionCell;
1182c4762a1bSJed Brown   PetscScalar    *part;
1183c4762a1bSJed Brown   PetscInt       cStart, cEnd, c;
1184c4762a1bSJed Brown   PetscMPIInt    rank;
1185c4762a1bSJed Brown   PetscErrorCode ierr;
1186c4762a1bSJed Brown 
1187c4762a1bSJed Brown   PetscFunctionBeginUser;
1188c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1189c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1190c4762a1bSJed Brown   ierr = DMClone(dm, dmCell);CHKERRQ(ierr);
1191c4762a1bSJed Brown   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
1192c4762a1bSJed Brown   ierr = DMSetPointSF(*dmCell, sfPoint);CHKERRQ(ierr);
1193c4762a1bSJed Brown   ierr = DMSetCoordinateSection(*dmCell, PETSC_DETERMINE, coordSection);CHKERRQ(ierr);
1194c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(*dmCell, coordinates);CHKERRQ(ierr);
1195ffc4695bSBarry Smith   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRMPI(ierr);
1196c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &sectionCell);CHKERRQ(ierr);
1197c4762a1bSJed Brown   ierr = DMPlexGetHeightStratum(*dmCell, 0, &cStart, &cEnd);CHKERRQ(ierr);
1198c4762a1bSJed Brown   ierr = PetscSectionSetChart(sectionCell, cStart, cEnd);CHKERRQ(ierr);
1199c4762a1bSJed Brown   for (c = cStart; c < cEnd; ++c) {
1200c4762a1bSJed Brown     ierr = PetscSectionSetDof(sectionCell, c, 1);CHKERRQ(ierr);
1201c4762a1bSJed Brown   }
1202c4762a1bSJed Brown   ierr = PetscSectionSetUp(sectionCell);CHKERRQ(ierr);
1203c4762a1bSJed Brown   ierr = DMSetLocalSection(*dmCell, sectionCell);CHKERRQ(ierr);
1204c4762a1bSJed Brown   ierr = PetscSectionDestroy(&sectionCell);CHKERRQ(ierr);
1205c4762a1bSJed Brown   ierr = DMCreateLocalVector(*dmCell, partition);CHKERRQ(ierr);
1206c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject)*partition, "partition");CHKERRQ(ierr);
1207c4762a1bSJed Brown   ierr = VecGetArray(*partition, &part);CHKERRQ(ierr);
1208c4762a1bSJed Brown   for (c = cStart; c < cEnd; ++c) {
1209c4762a1bSJed Brown     PetscScalar *p;
1210c4762a1bSJed Brown 
1211c4762a1bSJed Brown     ierr = DMPlexPointLocalRef(*dmCell, c, part, &p);CHKERRQ(ierr);
1212c4762a1bSJed Brown     p[0] = rank;
1213c4762a1bSJed Brown   }
1214c4762a1bSJed Brown   ierr = VecRestoreArray(*partition, &part);CHKERRQ(ierr);
1215c4762a1bSJed Brown   PetscFunctionReturn(0);
1216c4762a1bSJed Brown }
1217c4762a1bSJed Brown 
1218c4762a1bSJed Brown PetscErrorCode CreateMassMatrix(DM dm, Vec *massMatrix, User user)
1219c4762a1bSJed Brown {
12203e9753d6SMatthew G. Knepley   DM                plex, dmMass, dmFace, dmCell, dmCoord;
1221c4762a1bSJed Brown   PetscSection      coordSection;
1222c4762a1bSJed Brown   Vec               coordinates, facegeom, cellgeom;
1223c4762a1bSJed Brown   PetscSection      sectionMass;
1224c4762a1bSJed Brown   PetscScalar       *m;
1225c4762a1bSJed Brown   const PetscScalar *fgeom, *cgeom, *coords;
1226c4762a1bSJed Brown   PetscInt          vStart, vEnd, v;
1227c4762a1bSJed Brown   PetscErrorCode    ierr;
1228c4762a1bSJed Brown 
1229c4762a1bSJed Brown   PetscFunctionBeginUser;
12303e9753d6SMatthew G. Knepley   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1231c4762a1bSJed Brown   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1232c4762a1bSJed Brown   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1233c4762a1bSJed Brown   ierr = DMClone(dm, &dmMass);CHKERRQ(ierr);
1234c4762a1bSJed Brown   ierr = DMSetCoordinateSection(dmMass, PETSC_DETERMINE, coordSection);CHKERRQ(ierr);
1235c4762a1bSJed Brown   ierr = DMSetCoordinatesLocal(dmMass, coordinates);CHKERRQ(ierr);
1236c4762a1bSJed Brown   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &sectionMass);CHKERRQ(ierr);
1237c4762a1bSJed Brown   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1238c4762a1bSJed Brown   ierr = PetscSectionSetChart(sectionMass, vStart, vEnd);CHKERRQ(ierr);
1239c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1240c4762a1bSJed Brown     PetscInt numFaces;
1241c4762a1bSJed Brown 
1242c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dmMass, v, &numFaces);CHKERRQ(ierr);
1243c4762a1bSJed Brown     ierr = PetscSectionSetDof(sectionMass, v, numFaces*numFaces);CHKERRQ(ierr);
1244c4762a1bSJed Brown   }
1245c4762a1bSJed Brown   ierr = PetscSectionSetUp(sectionMass);CHKERRQ(ierr);
1246c4762a1bSJed Brown   ierr = DMSetLocalSection(dmMass, sectionMass);CHKERRQ(ierr);
1247c4762a1bSJed Brown   ierr = PetscSectionDestroy(&sectionMass);CHKERRQ(ierr);
1248c4762a1bSJed Brown   ierr = DMGetLocalVector(dmMass, massMatrix);CHKERRQ(ierr);
1249c4762a1bSJed Brown   ierr = VecGetArray(*massMatrix, &m);CHKERRQ(ierr);
12503e9753d6SMatthew G. Knepley   ierr = DMPlexGetGeometryFVM(plex, &facegeom, &cellgeom, NULL);CHKERRQ(ierr);
1251c4762a1bSJed Brown   ierr = VecGetDM(facegeom, &dmFace);CHKERRQ(ierr);
1252c4762a1bSJed Brown   ierr = VecGetArrayRead(facegeom, &fgeom);CHKERRQ(ierr);
1253c4762a1bSJed Brown   ierr = VecGetDM(cellgeom, &dmCell);CHKERRQ(ierr);
1254c4762a1bSJed Brown   ierr = VecGetArrayRead(cellgeom, &cgeom);CHKERRQ(ierr);
1255c4762a1bSJed Brown   ierr = DMGetCoordinateDM(dm, &dmCoord);CHKERRQ(ierr);
1256c4762a1bSJed Brown   ierr = VecGetArrayRead(coordinates, &coords);CHKERRQ(ierr);
1257c4762a1bSJed Brown   for (v = vStart; v < vEnd; ++v) {
1258c4762a1bSJed Brown     const PetscInt        *faces;
1259c4762a1bSJed Brown     PetscFVFaceGeom       *fgA, *fgB, *cg;
1260c4762a1bSJed Brown     PetscScalar           *vertex;
1261c4762a1bSJed Brown     PetscInt               numFaces, sides[2], f, g;
1262c4762a1bSJed Brown 
1263c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(dmCoord, v, coords, &vertex);CHKERRQ(ierr);
1264c4762a1bSJed Brown     ierr = DMPlexGetSupportSize(dmMass, v, &numFaces);CHKERRQ(ierr);
1265c4762a1bSJed Brown     ierr = DMPlexGetSupport(dmMass, v, &faces);CHKERRQ(ierr);
1266c4762a1bSJed Brown     for (f = 0; f < numFaces; ++f) {
1267c4762a1bSJed Brown       sides[0] = faces[f];
1268c4762a1bSJed Brown       ierr = DMPlexPointLocalRead(dmFace, faces[f], fgeom, &fgA);CHKERRQ(ierr);
1269c4762a1bSJed Brown       for (g = 0; g < numFaces; ++g) {
1270c4762a1bSJed Brown         const PetscInt *cells = NULL;
1271c4762a1bSJed Brown         PetscReal      area   = 0.0;
1272c4762a1bSJed Brown         PetscInt       numCells;
1273c4762a1bSJed Brown 
1274c4762a1bSJed Brown         sides[1] = faces[g];
1275c4762a1bSJed Brown         ierr = DMPlexPointLocalRead(dmFace, faces[g], fgeom, &fgB);CHKERRQ(ierr);
1276c4762a1bSJed Brown         ierr = DMPlexGetJoin(dmMass, 2, sides, &numCells, &cells);CHKERRQ(ierr);
1277c4762a1bSJed Brown         if (numCells != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "Invalid join for faces");
1278c4762a1bSJed Brown         ierr = DMPlexPointLocalRead(dmCell, cells[0], cgeom, &cg);CHKERRQ(ierr);
1279c4762a1bSJed Brown         area += PetscAbsScalar((vertex[0] - cg->centroid[0])*(fgA->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1])*(fgA->centroid[0] - cg->centroid[0]));
1280c4762a1bSJed Brown         area += PetscAbsScalar((vertex[0] - cg->centroid[0])*(fgB->centroid[1] - cg->centroid[1]) - (vertex[1] - cg->centroid[1])*(fgB->centroid[0] - cg->centroid[0]));
1281c4762a1bSJed Brown         m[f*numFaces+g] = Dot2Real(fgA->normal, fgB->normal)*area*0.5;
1282c4762a1bSJed Brown         ierr = DMPlexRestoreJoin(dmMass, 2, sides, &numCells, &cells);CHKERRQ(ierr);
1283c4762a1bSJed Brown       }
1284c4762a1bSJed Brown     }
1285c4762a1bSJed Brown   }
1286c4762a1bSJed Brown   ierr = VecRestoreArrayRead(facegeom, &fgeom);CHKERRQ(ierr);
1287c4762a1bSJed Brown   ierr = VecRestoreArrayRead(cellgeom, &cgeom);CHKERRQ(ierr);
1288c4762a1bSJed Brown   ierr = VecRestoreArrayRead(coordinates, &coords);CHKERRQ(ierr);
1289c4762a1bSJed Brown   ierr = VecRestoreArray(*massMatrix, &m);CHKERRQ(ierr);
1290c4762a1bSJed Brown   ierr = DMDestroy(&dmMass);CHKERRQ(ierr);
12913e9753d6SMatthew G. Knepley   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1292c4762a1bSJed Brown   PetscFunctionReturn(0);
1293c4762a1bSJed Brown }
1294c4762a1bSJed Brown 
1295c4762a1bSJed Brown /* Behavior will be different for multi-physics or when using non-default boundary conditions */
1296c4762a1bSJed Brown static PetscErrorCode ModelSolutionSetDefault(Model mod,SolutionFunction func,void *ctx)
1297c4762a1bSJed Brown {
1298c4762a1bSJed Brown   PetscFunctionBeginUser;
1299c4762a1bSJed Brown   mod->solution    = func;
1300c4762a1bSJed Brown   mod->solutionctx = ctx;
1301c4762a1bSJed Brown   PetscFunctionReturn(0);
1302c4762a1bSJed Brown }
1303c4762a1bSJed Brown 
1304c4762a1bSJed Brown static PetscErrorCode ModelFunctionalRegister(Model mod,const char *name,PetscInt *offset,FunctionalFunction func,void *ctx)
1305c4762a1bSJed Brown {
1306c4762a1bSJed Brown   PetscErrorCode ierr;
1307c4762a1bSJed Brown   FunctionalLink link,*ptr;
1308c4762a1bSJed Brown   PetscInt       lastoffset = -1;
1309c4762a1bSJed Brown 
1310c4762a1bSJed Brown   PetscFunctionBeginUser;
1311c4762a1bSJed Brown   for (ptr=&mod->functionalRegistry; *ptr; ptr = &(*ptr)->next) lastoffset = (*ptr)->offset;
1312c4762a1bSJed Brown   ierr         = PetscNew(&link);CHKERRQ(ierr);
1313c4762a1bSJed Brown   ierr         = PetscStrallocpy(name,&link->name);CHKERRQ(ierr);
1314c4762a1bSJed Brown   link->offset = lastoffset + 1;
1315c4762a1bSJed Brown   link->func   = func;
1316c4762a1bSJed Brown   link->ctx    = ctx;
1317c4762a1bSJed Brown   link->next   = NULL;
1318c4762a1bSJed Brown   *ptr         = link;
1319c4762a1bSJed Brown   *offset      = link->offset;
1320c4762a1bSJed Brown   PetscFunctionReturn(0);
1321c4762a1bSJed Brown }
1322c4762a1bSJed Brown 
1323c4762a1bSJed Brown static PetscErrorCode ModelFunctionalSetFromOptions(Model mod,PetscOptionItems *PetscOptionsObject)
1324c4762a1bSJed Brown {
1325c4762a1bSJed Brown   PetscErrorCode ierr;
1326c4762a1bSJed Brown   PetscInt       i,j;
1327c4762a1bSJed Brown   FunctionalLink link;
1328c4762a1bSJed Brown   char           *names[256];
1329c4762a1bSJed Brown 
1330c4762a1bSJed Brown   PetscFunctionBeginUser;
1331c4762a1bSJed Brown   mod->numMonitored = ALEN(names);
1332c4762a1bSJed Brown   ierr = PetscOptionsStringArray("-monitor","list of functionals to monitor","",names,&mod->numMonitored,NULL);CHKERRQ(ierr);
1333c4762a1bSJed Brown   /* Create list of functionals that will be computed somehow */
1334c4762a1bSJed Brown   ierr = PetscMalloc1(mod->numMonitored,&mod->functionalMonitored);CHKERRQ(ierr);
1335c4762a1bSJed Brown   /* Create index of calls that we will have to make to compute these functionals (over-allocation in general). */
1336c4762a1bSJed Brown   ierr = PetscMalloc1(mod->numMonitored,&mod->functionalCall);CHKERRQ(ierr);
1337c4762a1bSJed Brown   mod->numCall = 0;
1338c4762a1bSJed Brown   for (i=0; i<mod->numMonitored; i++) {
1339c4762a1bSJed Brown     for (link=mod->functionalRegistry; link; link=link->next) {
1340c4762a1bSJed Brown       PetscBool match;
1341c4762a1bSJed Brown       ierr = PetscStrcasecmp(names[i],link->name,&match);CHKERRQ(ierr);
1342c4762a1bSJed Brown       if (match) break;
1343c4762a1bSJed Brown     }
1344c4762a1bSJed Brown     if (!link) SETERRQ1(mod->comm,PETSC_ERR_USER,"No known functional '%s'",names[i]);
1345c4762a1bSJed Brown     mod->functionalMonitored[i] = link;
1346c4762a1bSJed Brown     for (j=0; j<i; j++) {
1347c4762a1bSJed Brown       if (mod->functionalCall[j]->func == link->func && mod->functionalCall[j]->ctx == link->ctx) goto next_name;
1348c4762a1bSJed Brown     }
1349c4762a1bSJed Brown     mod->functionalCall[mod->numCall++] = link; /* Just points to the first link using the result. There may be more results. */
1350c4762a1bSJed Brown next_name:
1351c4762a1bSJed Brown     ierr = PetscFree(names[i]);CHKERRQ(ierr);
1352c4762a1bSJed Brown   }
1353c4762a1bSJed Brown 
1354c4762a1bSJed Brown   /* Find out the maximum index of any functional computed by a function we will be calling (even if we are not using it) */
1355c4762a1bSJed Brown   mod->maxComputed = -1;
1356c4762a1bSJed Brown   for (link=mod->functionalRegistry; link; link=link->next) {
1357c4762a1bSJed Brown     for (i=0; i<mod->numCall; i++) {
1358c4762a1bSJed Brown       FunctionalLink call = mod->functionalCall[i];
1359c4762a1bSJed Brown       if (link->func == call->func && link->ctx == call->ctx) {
1360c4762a1bSJed Brown         mod->maxComputed = PetscMax(mod->maxComputed,link->offset);
1361c4762a1bSJed Brown       }
1362c4762a1bSJed Brown     }
1363c4762a1bSJed Brown   }
1364c4762a1bSJed Brown   PetscFunctionReturn(0);
1365c4762a1bSJed Brown }
1366c4762a1bSJed Brown 
1367c4762a1bSJed Brown static PetscErrorCode FunctionalLinkDestroy(FunctionalLink *link)
1368c4762a1bSJed Brown {
1369c4762a1bSJed Brown   PetscErrorCode ierr;
1370c4762a1bSJed Brown   FunctionalLink l,next;
1371c4762a1bSJed Brown 
1372c4762a1bSJed Brown   PetscFunctionBeginUser;
1373c4762a1bSJed Brown   if (!link) PetscFunctionReturn(0);
1374c4762a1bSJed Brown   l     = *link;
1375c4762a1bSJed Brown   *link = NULL;
1376c4762a1bSJed Brown   for (; l; l=next) {
1377c4762a1bSJed Brown     next = l->next;
1378c4762a1bSJed Brown     ierr = PetscFree(l->name);CHKERRQ(ierr);
1379c4762a1bSJed Brown     ierr = PetscFree(l);CHKERRQ(ierr);
1380c4762a1bSJed Brown   }
1381c4762a1bSJed Brown   PetscFunctionReturn(0);
1382c4762a1bSJed Brown }
1383c4762a1bSJed Brown 
1384c4762a1bSJed Brown /* put the solution callback into a functional callback */
1385c4762a1bSJed Brown static PetscErrorCode SolutionFunctional(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *modctx)
1386c4762a1bSJed Brown {
1387c4762a1bSJed Brown   Model          mod;
1388c4762a1bSJed Brown   PetscErrorCode ierr;
1389c4762a1bSJed Brown   PetscFunctionBegin;
1390c4762a1bSJed Brown   mod  = (Model) modctx;
1391c4762a1bSJed Brown   ierr = (*mod->solution)(mod, time, x, u, mod->solutionctx);CHKERRQ(ierr);
1392c4762a1bSJed Brown   PetscFunctionReturn(0);
1393c4762a1bSJed Brown }
1394c4762a1bSJed Brown 
1395c4762a1bSJed Brown PetscErrorCode SetInitialCondition(DM dm, Vec X, User user)
1396c4762a1bSJed Brown {
1397c4762a1bSJed Brown   PetscErrorCode     (*func[1]) (PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
1398c4762a1bSJed Brown   void               *ctx[1];
1399c4762a1bSJed Brown   Model              mod = user->model;
1400c4762a1bSJed Brown   PetscErrorCode     ierr;
1401c4762a1bSJed Brown 
1402c4762a1bSJed Brown   PetscFunctionBeginUser;
1403c4762a1bSJed Brown   func[0] = SolutionFunctional;
1404c4762a1bSJed Brown   ctx[0]  = (void *) mod;
1405c4762a1bSJed Brown   ierr    = DMProjectFunction(dm,0.0,func,ctx,INSERT_ALL_VALUES,X);CHKERRQ(ierr);
1406c4762a1bSJed Brown   PetscFunctionReturn(0);
1407c4762a1bSJed Brown }
1408c4762a1bSJed Brown 
1409c4762a1bSJed Brown static PetscErrorCode OutputVTK(DM dm, const char *filename, PetscViewer *viewer)
1410c4762a1bSJed Brown {
1411c4762a1bSJed Brown   PetscErrorCode ierr;
1412c4762a1bSJed Brown 
1413c4762a1bSJed Brown   PetscFunctionBeginUser;
1414c4762a1bSJed Brown   ierr = PetscViewerCreate(PetscObjectComm((PetscObject)dm), viewer);CHKERRQ(ierr);
1415c4762a1bSJed Brown   ierr = PetscViewerSetType(*viewer, PETSCVIEWERVTK);CHKERRQ(ierr);
1416c4762a1bSJed Brown   ierr = PetscViewerFileSetName(*viewer, filename);CHKERRQ(ierr);
1417c4762a1bSJed Brown   PetscFunctionReturn(0);
1418c4762a1bSJed Brown }
1419c4762a1bSJed Brown 
1420c4762a1bSJed Brown static PetscErrorCode MonitorVTK(TS ts,PetscInt stepnum,PetscReal time,Vec X,void *ctx)
1421c4762a1bSJed Brown {
1422c4762a1bSJed Brown   User           user = (User)ctx;
14233e9753d6SMatthew G. Knepley   DM             dm, plex;
1424c4762a1bSJed Brown   PetscViewer    viewer;
1425c4762a1bSJed Brown   char           filename[PETSC_MAX_PATH_LEN],*ftable = NULL;
1426c4762a1bSJed Brown   PetscReal      xnorm;
1427c4762a1bSJed Brown   PetscErrorCode ierr;
1428c4762a1bSJed Brown 
1429c4762a1bSJed Brown   PetscFunctionBeginUser;
1430c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) X, "u");CHKERRQ(ierr);
1431c4762a1bSJed Brown   ierr = VecGetDM(X,&dm);CHKERRQ(ierr);
1432c4762a1bSJed Brown   ierr = VecNorm(X,NORM_INFINITY,&xnorm);CHKERRQ(ierr);
1433c4762a1bSJed Brown 
1434c4762a1bSJed Brown   if (stepnum >= 0) {
1435c4762a1bSJed Brown     stepnum += user->monitorStepOffset;
1436c4762a1bSJed Brown   }
1437c4762a1bSJed Brown   if (stepnum >= 0) {           /* No summary for final time */
1438c4762a1bSJed Brown     Model             mod = user->model;
14393e9753d6SMatthew G. Knepley     Vec               cellgeom;
1440c4762a1bSJed Brown     PetscInt          c,cStart,cEnd,fcount,i;
1441c4762a1bSJed Brown     size_t            ftableused,ftablealloc;
1442c4762a1bSJed Brown     const PetscScalar *cgeom,*x;
1443c4762a1bSJed Brown     DM                dmCell;
1444c4762a1bSJed Brown     DMLabel           vtkLabel;
1445c4762a1bSJed Brown     PetscReal         *fmin,*fmax,*fintegral,*ftmp;
14463e9753d6SMatthew G. Knepley 
14473e9753d6SMatthew G. Knepley     ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
14483e9753d6SMatthew G. Knepley     ierr = DMPlexGetGeometryFVM(plex, NULL, &cellgeom, NULL);CHKERRQ(ierr);
1449c4762a1bSJed Brown     fcount = mod->maxComputed+1;
1450c4762a1bSJed Brown     ierr   = PetscMalloc4(fcount,&fmin,fcount,&fmax,fcount,&fintegral,fcount,&ftmp);CHKERRQ(ierr);
1451c4762a1bSJed Brown     for (i=0; i<fcount; i++) {
1452c4762a1bSJed Brown       fmin[i]      = PETSC_MAX_REAL;
1453c4762a1bSJed Brown       fmax[i]      = PETSC_MIN_REAL;
1454c4762a1bSJed Brown       fintegral[i] = 0;
1455c4762a1bSJed Brown     }
1456c4762a1bSJed Brown     ierr = VecGetDM(cellgeom,&dmCell);CHKERRQ(ierr);
145754fcfd0cSMatthew G. Knepley     ierr = DMPlexGetSimplexOrBoxCells(dmCell,0,&cStart,&cEnd);CHKERRQ(ierr);
1458c4762a1bSJed Brown     ierr = VecGetArrayRead(cellgeom,&cgeom);CHKERRQ(ierr);
1459c4762a1bSJed Brown     ierr = VecGetArrayRead(X,&x);CHKERRQ(ierr);
1460c4762a1bSJed Brown     ierr = DMGetLabel(dm,"vtk",&vtkLabel);CHKERRQ(ierr);
1461c4762a1bSJed Brown     for (c = cStart; c < cEnd; ++c) {
1462c4762a1bSJed Brown       PetscFVCellGeom       *cg;
1463c4762a1bSJed Brown       const PetscScalar     *cx    = NULL;
1464c4762a1bSJed Brown       PetscInt              vtkVal = 0;
1465c4762a1bSJed Brown 
1466c4762a1bSJed Brown       /* not that these two routines as currently implemented work for any dm with a
1467c4762a1bSJed Brown        * localSection/globalSection */
1468c4762a1bSJed Brown       ierr = DMPlexPointLocalRead(dmCell,c,cgeom,&cg);CHKERRQ(ierr);
1469c4762a1bSJed Brown       ierr = DMPlexPointGlobalRead(dm,c,x,&cx);CHKERRQ(ierr);
1470c4762a1bSJed Brown       if (vtkLabel) {ierr = DMLabelGetValue(vtkLabel,c,&vtkVal);CHKERRQ(ierr);}
1471c4762a1bSJed Brown       if (!vtkVal || !cx) continue;        /* ghost, or not a global cell */
1472c4762a1bSJed Brown       for (i=0; i<mod->numCall; i++) {
1473c4762a1bSJed Brown         FunctionalLink flink = mod->functionalCall[i];
1474c4762a1bSJed Brown         ierr = (*flink->func)(mod,time,cg->centroid,cx,ftmp,flink->ctx);CHKERRQ(ierr);
1475c4762a1bSJed Brown       }
1476c4762a1bSJed Brown       for (i=0; i<fcount; i++) {
1477c4762a1bSJed Brown         fmin[i]       = PetscMin(fmin[i],ftmp[i]);
1478c4762a1bSJed Brown         fmax[i]       = PetscMax(fmax[i],ftmp[i]);
1479c4762a1bSJed Brown         fintegral[i] += cg->volume * ftmp[i];
1480c4762a1bSJed Brown       }
1481c4762a1bSJed Brown     }
1482c4762a1bSJed Brown     ierr = VecRestoreArrayRead(cellgeom,&cgeom);CHKERRQ(ierr);
1483c4762a1bSJed Brown     ierr = VecRestoreArrayRead(X,&x);CHKERRQ(ierr);
14843e9753d6SMatthew G. Knepley     ierr = DMDestroy(&plex);CHKERRQ(ierr);
1485ffc4695bSBarry Smith     ierr = MPI_Allreduce(MPI_IN_PLACE,fmin,fcount,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRMPI(ierr);
1486ffc4695bSBarry Smith     ierr = MPI_Allreduce(MPI_IN_PLACE,fmax,fcount,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRMPI(ierr);
1487ffc4695bSBarry Smith     ierr = MPI_Allreduce(MPI_IN_PLACE,fintegral,fcount,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRMPI(ierr);
1488c4762a1bSJed Brown 
1489c4762a1bSJed Brown     ftablealloc = fcount * 100;
1490c4762a1bSJed Brown     ftableused  = 0;
1491c4762a1bSJed Brown     ierr        = PetscMalloc1(ftablealloc,&ftable);CHKERRQ(ierr);
1492c4762a1bSJed Brown     for (i=0; i<mod->numMonitored; i++) {
1493c4762a1bSJed Brown       size_t         countused;
1494c4762a1bSJed Brown       char           buffer[256],*p;
1495c4762a1bSJed Brown       FunctionalLink flink = mod->functionalMonitored[i];
1496c4762a1bSJed Brown       PetscInt       id    = flink->offset;
1497c4762a1bSJed Brown       if (i % 3) {
1498c4762a1bSJed Brown         ierr = PetscArraycpy(buffer,"  ",2);CHKERRQ(ierr);
1499c4762a1bSJed Brown         p    = buffer + 2;
1500c4762a1bSJed Brown       } else if (i) {
1501c4762a1bSJed Brown         char newline[] = "\n";
1502c4762a1bSJed Brown         ierr = PetscMemcpy(buffer,newline,sizeof(newline)-1);CHKERRQ(ierr);
1503c4762a1bSJed Brown         p    = buffer + sizeof(newline) - 1;
1504c4762a1bSJed Brown       } else {
1505c4762a1bSJed Brown         p = buffer;
1506c4762a1bSJed Brown       }
1507c4762a1bSJed Brown       ierr = PetscSNPrintfCount(p,sizeof buffer-(p-buffer),"%12s [%10.7g,%10.7g] int %10.7g",&countused,flink->name,(double)fmin[id],(double)fmax[id],(double)fintegral[id]);CHKERRQ(ierr);
1508c4762a1bSJed Brown       countused--;
1509c4762a1bSJed Brown       countused += p - buffer;
1510c4762a1bSJed Brown       if (countused > ftablealloc-ftableused-1) { /* reallocate */
1511c4762a1bSJed Brown         char *ftablenew;
1512c4762a1bSJed Brown         ftablealloc = 2*ftablealloc + countused;
1513c4762a1bSJed Brown         ierr = PetscMalloc(ftablealloc,&ftablenew);CHKERRQ(ierr);
1514c4762a1bSJed Brown         ierr = PetscArraycpy(ftablenew,ftable,ftableused);CHKERRQ(ierr);
1515c4762a1bSJed Brown         ierr = PetscFree(ftable);CHKERRQ(ierr);
1516c4762a1bSJed Brown         ftable = ftablenew;
1517c4762a1bSJed Brown       }
1518c4762a1bSJed Brown       ierr = PetscArraycpy(ftable+ftableused,buffer,countused);CHKERRQ(ierr);
1519c4762a1bSJed Brown       ftableused += countused;
1520c4762a1bSJed Brown       ftable[ftableused] = 0;
1521c4762a1bSJed Brown     }
1522c4762a1bSJed Brown     ierr = PetscFree4(fmin,fmax,fintegral,ftmp);CHKERRQ(ierr);
1523c4762a1bSJed Brown 
1524c4762a1bSJed Brown     ierr = PetscPrintf(PetscObjectComm((PetscObject)ts),"% 3D  time %8.4g  |x| %8.4g  %s\n",stepnum,(double)time,(double)xnorm,ftable ? ftable : "");CHKERRQ(ierr);
1525c4762a1bSJed Brown     ierr = PetscFree(ftable);CHKERRQ(ierr);
1526c4762a1bSJed Brown   }
1527c4762a1bSJed Brown   if (user->vtkInterval < 1) PetscFunctionReturn(0);
1528c4762a1bSJed Brown   if ((stepnum == -1) ^ (stepnum % user->vtkInterval == 0)) {
1529c4762a1bSJed Brown     if (stepnum == -1) {        /* Final time is not multiple of normal time interval, write it anyway */
1530c4762a1bSJed Brown       ierr = TSGetStepNumber(ts,&stepnum);CHKERRQ(ierr);
1531c4762a1bSJed Brown     }
1532c4762a1bSJed Brown     ierr = PetscSNPrintf(filename,sizeof filename,"%s-%03D.vtu",user->outputBasename,stepnum);CHKERRQ(ierr);
1533c4762a1bSJed Brown     ierr = OutputVTK(dm,filename,&viewer);CHKERRQ(ierr);
1534c4762a1bSJed Brown     ierr = VecView(X,viewer);CHKERRQ(ierr);
1535c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1536c4762a1bSJed Brown   }
1537c4762a1bSJed Brown   PetscFunctionReturn(0);
1538c4762a1bSJed Brown }
1539c4762a1bSJed Brown 
1540c4762a1bSJed Brown static PetscErrorCode initializeTS(DM dm, User user, TS *ts)
1541c4762a1bSJed Brown {
1542c4762a1bSJed Brown   PetscErrorCode ierr;
1543c4762a1bSJed Brown 
1544c4762a1bSJed Brown   PetscFunctionBegin;
1545c4762a1bSJed Brown   ierr = TSCreate(PetscObjectComm((PetscObject)dm), ts);CHKERRQ(ierr);
1546c4762a1bSJed Brown   ierr = TSSetType(*ts, TSSSP);CHKERRQ(ierr);
1547c4762a1bSJed Brown   ierr = TSSetDM(*ts, dm);CHKERRQ(ierr);
1548c4762a1bSJed Brown   if (user->vtkmon) {
1549c4762a1bSJed Brown     ierr = TSMonitorSet(*ts,MonitorVTK,user,NULL);CHKERRQ(ierr);
1550c4762a1bSJed Brown   }
1551c4762a1bSJed Brown   ierr = DMTSSetBoundaryLocal(dm, DMPlexTSComputeBoundary, user);CHKERRQ(ierr);
1552c4762a1bSJed Brown   ierr = DMTSSetRHSFunctionLocal(dm, DMPlexTSComputeRHSFunctionFVM, user);CHKERRQ(ierr);
1553c4762a1bSJed Brown   ierr = TSSetMaxTime(*ts,2.0);CHKERRQ(ierr);
1554c4762a1bSJed Brown   ierr = TSSetExactFinalTime(*ts,TS_EXACTFINALTIME_STEPOVER);CHKERRQ(ierr);
1555c4762a1bSJed Brown   PetscFunctionReturn(0);
1556c4762a1bSJed Brown }
1557c4762a1bSJed Brown 
1558c4762a1bSJed Brown static PetscErrorCode adaptToleranceFVM(PetscFV fvm, TS ts, Vec sol, VecTagger refineTag, VecTagger coarsenTag, User user, TS *tsNew, Vec *solNew)
1559c4762a1bSJed Brown {
1560c4762a1bSJed Brown   DM                dm, gradDM, plex, cellDM, adaptedDM = NULL;
1561c4762a1bSJed Brown   Vec               cellGeom, faceGeom;
1562c4762a1bSJed Brown   PetscBool         isForest, computeGradient;
1563c4762a1bSJed Brown   Vec               grad, locGrad, locX, errVec;
1564c4762a1bSJed Brown   PetscInt          cStart, cEnd, c, dim, nRefine, nCoarsen;
1565c4762a1bSJed Brown   PetscReal         minMaxInd[2] = {PETSC_MAX_REAL, PETSC_MIN_REAL}, minMaxIndGlobal[2], minInd, maxInd, time;
1566c4762a1bSJed Brown   PetscScalar       *errArray;
1567c4762a1bSJed Brown   const PetscScalar *pointVals;
1568c4762a1bSJed Brown   const PetscScalar *pointGrads;
1569c4762a1bSJed Brown   const PetscScalar *pointGeom;
1570c4762a1bSJed Brown   DMLabel           adaptLabel = NULL;
1571c4762a1bSJed Brown   IS                refineIS, coarsenIS;
1572c4762a1bSJed Brown   PetscErrorCode    ierr;
1573c4762a1bSJed Brown 
1574c4762a1bSJed Brown   PetscFunctionBegin;
1575c4762a1bSJed Brown   ierr = TSGetTime(ts,&time);CHKERRQ(ierr);
1576c4762a1bSJed Brown   ierr = VecGetDM(sol, &dm);CHKERRQ(ierr);
1577c4762a1bSJed Brown   ierr = DMGetDimension(dm,&dim);CHKERRQ(ierr);
1578c4762a1bSJed Brown   ierr = PetscFVGetComputeGradients(fvm,&computeGradient);CHKERRQ(ierr);
1579c4762a1bSJed Brown   ierr = PetscFVSetComputeGradients(fvm,PETSC_TRUE);CHKERRQ(ierr);
1580c4762a1bSJed Brown   ierr = DMIsForest(dm, &isForest);CHKERRQ(ierr);
1581c4762a1bSJed Brown   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1582c4762a1bSJed Brown   ierr = DMPlexGetDataFVM(plex, fvm, &cellGeom, &faceGeom, &gradDM);CHKERRQ(ierr);
1583c4762a1bSJed Brown   ierr = DMCreateLocalVector(plex,&locX);CHKERRQ(ierr);
1584c4762a1bSJed Brown   ierr = DMPlexInsertBoundaryValues(plex, PETSC_TRUE, locX, 0.0, faceGeom, cellGeom, NULL);CHKERRQ(ierr);
1585c4762a1bSJed Brown   ierr = DMGlobalToLocalBegin(plex, sol, INSERT_VALUES, locX);CHKERRQ(ierr);
1586c4762a1bSJed Brown   ierr = DMGlobalToLocalEnd  (plex, sol, INSERT_VALUES, locX);CHKERRQ(ierr);
1587c4762a1bSJed Brown   ierr = DMCreateGlobalVector(gradDM, &grad);CHKERRQ(ierr);
1588c4762a1bSJed Brown   ierr = DMPlexReconstructGradientsFVM(plex, locX, grad);CHKERRQ(ierr);
1589c4762a1bSJed Brown   ierr = DMCreateLocalVector(gradDM, &locGrad);CHKERRQ(ierr);
1590c4762a1bSJed Brown   ierr = DMGlobalToLocalBegin(gradDM, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1591c4762a1bSJed Brown   ierr = DMGlobalToLocalEnd(gradDM, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1592c4762a1bSJed Brown   ierr = VecDestroy(&grad);CHKERRQ(ierr);
159354fcfd0cSMatthew G. Knepley   ierr = DMPlexGetSimplexOrBoxCells(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
1594c4762a1bSJed Brown   ierr = VecGetArrayRead(locGrad,&pointGrads);CHKERRQ(ierr);
1595c4762a1bSJed Brown   ierr = VecGetArrayRead(cellGeom,&pointGeom);CHKERRQ(ierr);
1596c4762a1bSJed Brown   ierr = VecGetArrayRead(locX,&pointVals);CHKERRQ(ierr);
1597c4762a1bSJed Brown   ierr = VecGetDM(cellGeom,&cellDM);CHKERRQ(ierr);
1598c4762a1bSJed Brown   ierr = DMLabelCreate(PETSC_COMM_SELF,"adapt",&adaptLabel);CHKERRQ(ierr);
1599c4762a1bSJed Brown   ierr = VecCreateMPI(PetscObjectComm((PetscObject)plex),cEnd-cStart,PETSC_DETERMINE,&errVec);CHKERRQ(ierr);
1600c4762a1bSJed Brown   ierr = VecSetUp(errVec);CHKERRQ(ierr);
1601c4762a1bSJed Brown   ierr = VecGetArray(errVec,&errArray);CHKERRQ(ierr);
1602c4762a1bSJed Brown   for (c = cStart; c < cEnd; c++) {
1603c4762a1bSJed Brown     PetscReal             errInd = 0.;
1604c4762a1bSJed Brown     PetscScalar           *pointGrad;
1605c4762a1bSJed Brown     PetscScalar           *pointVal;
1606c4762a1bSJed Brown     PetscFVCellGeom       *cg;
1607c4762a1bSJed Brown 
1608c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(gradDM,c,pointGrads,&pointGrad);CHKERRQ(ierr);
1609c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(cellDM,c,pointGeom,&cg);CHKERRQ(ierr);
1610c4762a1bSJed Brown     ierr = DMPlexPointLocalRead(plex,c,pointVals,&pointVal);CHKERRQ(ierr);
1611c4762a1bSJed Brown 
1612c4762a1bSJed Brown     ierr = (user->model->errorIndicator)(dim,cg->volume,user->model->physics->dof,pointVal,pointGrad,&errInd,user->model->errorCtx);CHKERRQ(ierr);
1613c4762a1bSJed Brown     errArray[c-cStart] = errInd;
1614c4762a1bSJed Brown     minMaxInd[0] = PetscMin(minMaxInd[0],errInd);
1615c4762a1bSJed Brown     minMaxInd[1] = PetscMax(minMaxInd[1],errInd);
1616c4762a1bSJed Brown   }
1617c4762a1bSJed Brown   ierr = VecRestoreArray(errVec,&errArray);CHKERRQ(ierr);
1618c4762a1bSJed Brown   ierr = VecRestoreArrayRead(locX,&pointVals);CHKERRQ(ierr);
1619c4762a1bSJed Brown   ierr = VecRestoreArrayRead(cellGeom,&pointGeom);CHKERRQ(ierr);
1620c4762a1bSJed Brown   ierr = VecRestoreArrayRead(locGrad,&pointGrads);CHKERRQ(ierr);
1621c4762a1bSJed Brown   ierr = VecDestroy(&locGrad);CHKERRQ(ierr);
1622c4762a1bSJed Brown   ierr = VecDestroy(&locX);CHKERRQ(ierr);
1623c4762a1bSJed Brown   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1624c4762a1bSJed Brown 
1625c4762a1bSJed Brown   ierr = VecTaggerComputeIS(refineTag,errVec,&refineIS);CHKERRQ(ierr);
1626c4762a1bSJed Brown   ierr = VecTaggerComputeIS(coarsenTag,errVec,&coarsenIS);CHKERRQ(ierr);
1627c4762a1bSJed Brown   ierr = ISGetSize(refineIS,&nRefine);CHKERRQ(ierr);
1628c4762a1bSJed Brown   ierr = ISGetSize(coarsenIS,&nCoarsen);CHKERRQ(ierr);
1629c4762a1bSJed Brown   if (nRefine) {ierr = DMLabelSetStratumIS(adaptLabel,DM_ADAPT_REFINE,refineIS);CHKERRQ(ierr);}
1630c4762a1bSJed Brown   if (nCoarsen) {ierr = DMLabelSetStratumIS(adaptLabel,DM_ADAPT_COARSEN,coarsenIS);CHKERRQ(ierr);}
1631c4762a1bSJed Brown   ierr = ISDestroy(&coarsenIS);CHKERRQ(ierr);
1632c4762a1bSJed Brown   ierr = ISDestroy(&refineIS);CHKERRQ(ierr);
1633c4762a1bSJed Brown   ierr = VecDestroy(&errVec);CHKERRQ(ierr);
1634c4762a1bSJed Brown 
1635c4762a1bSJed Brown   ierr = PetscFVSetComputeGradients(fvm,computeGradient);CHKERRQ(ierr);
1636c4762a1bSJed Brown   minMaxInd[1] = -minMaxInd[1];
1637ffc4695bSBarry Smith   ierr = MPI_Allreduce(minMaxInd,minMaxIndGlobal,2,MPIU_REAL,MPI_MIN,PetscObjectComm((PetscObject)dm));CHKERRMPI(ierr);
1638c4762a1bSJed Brown   minInd = minMaxIndGlobal[0];
1639c4762a1bSJed Brown   maxInd = -minMaxIndGlobal[1];
1640c4762a1bSJed Brown   ierr = PetscInfo2(ts, "error indicator range (%E, %E)\n", minInd, maxInd);CHKERRQ(ierr);
1641c4762a1bSJed Brown   if (nRefine || nCoarsen) { /* at least one cell is over the refinement threshold */
1642c4762a1bSJed Brown     ierr = DMAdaptLabel(dm,adaptLabel,&adaptedDM);CHKERRQ(ierr);
1643c4762a1bSJed Brown   }
1644c4762a1bSJed Brown   ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
1645c4762a1bSJed Brown   if (adaptedDM) {
1646c4762a1bSJed Brown     ierr = PetscInfo2(ts, "Adapted mesh, marking %D cells for refinement, and %D cells for coarsening\n", nRefine, nCoarsen);CHKERRQ(ierr);
1647c4762a1bSJed Brown     if (tsNew) {ierr = initializeTS(adaptedDM, user, tsNew);CHKERRQ(ierr);}
1648c4762a1bSJed Brown     if (solNew) {
1649c4762a1bSJed Brown       ierr = DMCreateGlobalVector(adaptedDM, solNew);CHKERRQ(ierr);
1650c4762a1bSJed Brown       ierr = PetscObjectSetName((PetscObject) *solNew, "solution");CHKERRQ(ierr);
1651c4762a1bSJed Brown       ierr = DMForestTransferVec(dm, sol, adaptedDM, *solNew, PETSC_TRUE, time);CHKERRQ(ierr);
1652c4762a1bSJed Brown     }
1653c4762a1bSJed Brown     if (isForest) {ierr = DMForestSetAdaptivityForest(adaptedDM,NULL);CHKERRQ(ierr);} /* clear internal references to the previous dm */
1654c4762a1bSJed Brown     ierr = DMDestroy(&adaptedDM);CHKERRQ(ierr);
1655c4762a1bSJed Brown   } else {
1656c4762a1bSJed Brown     if (tsNew)  *tsNew  = NULL;
1657c4762a1bSJed Brown     if (solNew) *solNew = NULL;
1658c4762a1bSJed Brown   }
1659c4762a1bSJed Brown   PetscFunctionReturn(0);
1660c4762a1bSJed Brown }
1661c4762a1bSJed Brown 
1662c4762a1bSJed Brown int main(int argc, char **argv)
1663c4762a1bSJed Brown {
1664c4762a1bSJed Brown   MPI_Comm          comm;
1665c4762a1bSJed Brown   PetscDS           prob;
1666c4762a1bSJed Brown   PetscFV           fvm;
1667c4762a1bSJed Brown   PetscLimiter      limiter = NULL, noneLimiter = NULL;
1668c4762a1bSJed Brown   User              user;
1669c4762a1bSJed Brown   Model             mod;
1670c4762a1bSJed Brown   Physics           phys;
16713e9753d6SMatthew G. Knepley   DM                dm, plex;
1672c4762a1bSJed Brown   PetscReal         ftime, cfl, dt, minRadius;
1673c4762a1bSJed Brown   PetscInt          dim, nsteps;
1674c4762a1bSJed Brown   TS                ts;
1675c4762a1bSJed Brown   TSConvergedReason reason;
1676c4762a1bSJed Brown   Vec               X;
1677c4762a1bSJed Brown   PetscViewer       viewer;
1678c4762a1bSJed Brown   PetscBool         simplex = PETSC_FALSE, vtkCellGeom, splitFaces, useAMR;
1679c4762a1bSJed Brown   PetscInt          overlap, adaptInterval;
1680c4762a1bSJed Brown   char              filename[PETSC_MAX_PATH_LEN] = "";
1681c4762a1bSJed Brown   char              physname[256]  = "advect";
1682c4762a1bSJed Brown   VecTagger         refineTag = NULL, coarsenTag = NULL;
1683c4762a1bSJed Brown   PetscErrorCode    ierr;
1684c4762a1bSJed Brown 
1685c4762a1bSJed Brown   ierr = PetscInitialize(&argc, &argv, (char*) 0, help);if (ierr) return ierr;
1686c4762a1bSJed Brown   comm = PETSC_COMM_WORLD;
1687c4762a1bSJed Brown 
1688c4762a1bSJed Brown   ierr          = PetscNew(&user);CHKERRQ(ierr);
1689c4762a1bSJed Brown   ierr          = PetscNew(&user->model);CHKERRQ(ierr);
1690c4762a1bSJed Brown   ierr          = PetscNew(&user->model->physics);CHKERRQ(ierr);
1691c4762a1bSJed Brown   mod           = user->model;
1692c4762a1bSJed Brown   phys          = mod->physics;
1693c4762a1bSJed Brown   mod->comm     = comm;
1694c4762a1bSJed Brown   useAMR        = PETSC_FALSE;
1695c4762a1bSJed Brown   adaptInterval = 1;
1696c4762a1bSJed Brown 
1697c4762a1bSJed Brown   /* Register physical models to be available on the command line */
1698c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"advect"          ,PhysicsCreate_Advect);CHKERRQ(ierr);
1699c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"sw"              ,PhysicsCreate_SW);CHKERRQ(ierr);
1700c4762a1bSJed Brown   ierr = PetscFunctionListAdd(&PhysicsList,"euler"           ,PhysicsCreate_Euler);CHKERRQ(ierr);
1701c4762a1bSJed Brown 
17028d2c18caSMukkund Sunjii 
1703c4762a1bSJed Brown   ierr = PetscOptionsBegin(comm,NULL,"Unstructured Finite Volume Mesh Options","");CHKERRQ(ierr);
1704c4762a1bSJed Brown   {
1705c4762a1bSJed Brown     cfl  = 0.9 * 4; /* default SSPRKS2 with s=5 stages is stable for CFL number s-1 */
1706c4762a1bSJed Brown     ierr = PetscOptionsReal("-ufv_cfl","CFL number per step","",cfl,&cfl,NULL);CHKERRQ(ierr);
1707c4762a1bSJed Brown     ierr = PetscOptionsString("-f","Exodus.II filename to read","",filename,filename,sizeof(filename),NULL);CHKERRQ(ierr);
1708c4762a1bSJed Brown     ierr = PetscOptionsBool("-simplex","Flag to use a simplex mesh","",simplex,&simplex,NULL);CHKERRQ(ierr);
1709c4762a1bSJed Brown     splitFaces = PETSC_FALSE;
1710c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_split_faces","Split faces between cell sets","",splitFaces,&splitFaces,NULL);CHKERRQ(ierr);
1711c4762a1bSJed Brown     overlap = 1;
1712c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_mesh_overlap","Number of cells to overlap partitions","",overlap,&overlap,NULL);CHKERRQ(ierr);
1713c4762a1bSJed Brown     user->vtkInterval = 1;
1714c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_vtk_interval","VTK output interval (0 to disable)","",user->vtkInterval,&user->vtkInterval,NULL);CHKERRQ(ierr);
1715c4762a1bSJed Brown     user->vtkmon = PETSC_TRUE;
1716c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_vtk_monitor","Use VTKMonitor routine","",user->vtkmon,&user->vtkmon,NULL);CHKERRQ(ierr);
1717c4762a1bSJed Brown     vtkCellGeom = PETSC_FALSE;
1718c4762a1bSJed Brown     ierr = PetscStrcpy(user->outputBasename, "ex11");CHKERRQ(ierr);
1719589a23caSBarry Smith     ierr = PetscOptionsString("-ufv_vtk_basename","VTK output basename","",user->outputBasename,user->outputBasename,sizeof(user->outputBasename),NULL);CHKERRQ(ierr);
1720c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_vtk_cellgeom","Write cell geometry (for debugging)","",vtkCellGeom,&vtkCellGeom,NULL);CHKERRQ(ierr);
1721c4762a1bSJed Brown     ierr = PetscOptionsBool("-ufv_use_amr","use local adaptive mesh refinement","",useAMR,&useAMR,NULL);CHKERRQ(ierr);
1722c4762a1bSJed Brown     ierr = PetscOptionsInt("-ufv_adapt_interval","time steps between AMR","",adaptInterval,&adaptInterval,NULL);CHKERRQ(ierr);
1723c4762a1bSJed Brown   }
1724c4762a1bSJed Brown   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1725c4762a1bSJed Brown 
1726c4762a1bSJed Brown   if (useAMR) {
1727c4762a1bSJed Brown     VecTaggerBox refineBox, coarsenBox;
1728c4762a1bSJed Brown 
1729c4762a1bSJed Brown     refineBox.min  = refineBox.max  = PETSC_MAX_REAL;
1730c4762a1bSJed Brown     coarsenBox.min = coarsenBox.max = PETSC_MIN_REAL;
1731c4762a1bSJed Brown 
1732c4762a1bSJed Brown     ierr = VecTaggerCreate(comm,&refineTag);CHKERRQ(ierr);
1733c4762a1bSJed Brown     ierr = PetscObjectSetOptionsPrefix((PetscObject)refineTag,"refine_");CHKERRQ(ierr);
1734c4762a1bSJed Brown     ierr = VecTaggerSetType(refineTag,VECTAGGERABSOLUTE);CHKERRQ(ierr);
1735c4762a1bSJed Brown     ierr = VecTaggerAbsoluteSetBox(refineTag,&refineBox);CHKERRQ(ierr);
1736c4762a1bSJed Brown     ierr = VecTaggerSetFromOptions(refineTag);CHKERRQ(ierr);
1737c4762a1bSJed Brown     ierr = VecTaggerSetUp(refineTag);CHKERRQ(ierr);
1738c4762a1bSJed Brown     ierr = PetscObjectViewFromOptions((PetscObject)refineTag,NULL,"-tag_view");CHKERRQ(ierr);
1739c4762a1bSJed Brown 
1740c4762a1bSJed Brown     ierr = VecTaggerCreate(comm,&coarsenTag);CHKERRQ(ierr);
1741c4762a1bSJed Brown     ierr = PetscObjectSetOptionsPrefix((PetscObject)coarsenTag,"coarsen_");CHKERRQ(ierr);
1742c4762a1bSJed Brown     ierr = VecTaggerSetType(coarsenTag,VECTAGGERABSOLUTE);CHKERRQ(ierr);
1743c4762a1bSJed Brown     ierr = VecTaggerAbsoluteSetBox(coarsenTag,&coarsenBox);CHKERRQ(ierr);
1744c4762a1bSJed Brown     ierr = VecTaggerSetFromOptions(coarsenTag);CHKERRQ(ierr);
1745c4762a1bSJed Brown     ierr = VecTaggerSetUp(coarsenTag);CHKERRQ(ierr);
1746c4762a1bSJed Brown     ierr = PetscObjectViewFromOptions((PetscObject)coarsenTag,NULL,"-tag_view");CHKERRQ(ierr);
1747c4762a1bSJed Brown   }
1748c4762a1bSJed Brown 
1749c4762a1bSJed Brown   ierr = PetscOptionsBegin(comm,NULL,"Unstructured Finite Volume Physics Options","");CHKERRQ(ierr);
1750c4762a1bSJed Brown   {
1751c4762a1bSJed Brown     PetscErrorCode (*physcreate)(Model,Physics,PetscOptionItems*);
1752c4762a1bSJed Brown     ierr = PetscOptionsFList("-physics","Physics module to solve","",PhysicsList,physname,physname,sizeof physname,NULL);CHKERRQ(ierr);
1753c4762a1bSJed Brown     ierr = PetscFunctionListFind(PhysicsList,physname,&physcreate);CHKERRQ(ierr);
1754c4762a1bSJed Brown     ierr = PetscMemzero(phys,sizeof(struct _n_Physics));CHKERRQ(ierr);
1755c4762a1bSJed Brown     ierr = (*physcreate)(mod,phys,PetscOptionsObject);CHKERRQ(ierr);
1756c4762a1bSJed Brown     /* Count number of fields and dofs */
1757c4762a1bSJed Brown     for (phys->nfields=0,phys->dof=0; phys->field_desc[phys->nfields].name; phys->nfields++) phys->dof += phys->field_desc[phys->nfields].dof;
1758c4762a1bSJed Brown     if (phys->dof <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set dof",physname);
1759c4762a1bSJed Brown     ierr = ModelFunctionalSetFromOptions(mod,PetscOptionsObject);CHKERRQ(ierr);
1760c4762a1bSJed Brown   }
1761c4762a1bSJed Brown   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1762c4762a1bSJed Brown 
1763c4762a1bSJed Brown   /* Create mesh */
1764c4762a1bSJed Brown   {
1765c4762a1bSJed Brown     size_t len,i;
1766c4762a1bSJed Brown     for (i = 0; i < DIM; i++) { mod->bounds[2*i] = 0.; mod->bounds[2*i+1] = 1.;};
1767c4762a1bSJed Brown     ierr = PetscStrlen(filename,&len);CHKERRQ(ierr);
1768c4762a1bSJed Brown     dim = DIM;
1769c4762a1bSJed Brown     if (!len) { /* a null name means just do a hex box */
1770c4762a1bSJed Brown       PetscInt cells[3] = {1, 1, 1}; /* coarse mesh is one cell; refine from there */
1771c4762a1bSJed Brown       PetscBool flg1, flg2, skew = PETSC_FALSE;
1772c4762a1bSJed Brown       PetscInt nret1 = DIM;
1773c4762a1bSJed Brown       PetscInt nret2 = 2*DIM;
1774c4762a1bSJed Brown       ierr = PetscOptionsBegin(comm,NULL,"Rectangular mesh options","");CHKERRQ(ierr);
1775c4762a1bSJed Brown       ierr = PetscOptionsIntArray("-grid_size","number of cells in each direction","",cells,&nret1,&flg1);CHKERRQ(ierr);
1776c4762a1bSJed Brown       ierr = PetscOptionsRealArray("-grid_bounds","bounds of the mesh in each direction (i.e., x_min,x_max,y_min,y_max","",mod->bounds,&nret2,&flg2);CHKERRQ(ierr);
1777c4762a1bSJed Brown       ierr = PetscOptionsBool("-grid_skew_60","Skew grid for 60 degree shock mesh","",skew,&skew,NULL);CHKERRQ(ierr);
1778c4762a1bSJed Brown       ierr = PetscOptionsEnd();CHKERRQ(ierr);
1779c4762a1bSJed Brown       if (flg1) {
1780c4762a1bSJed Brown         dim = nret1;
1781c4762a1bSJed Brown         if (dim != DIM) SETERRQ1(comm,PETSC_ERR_ARG_SIZ,"Dim wrong size %D in -grid_size",dim);
1782c4762a1bSJed Brown       }
1783c4762a1bSJed Brown       ierr = DMPlexCreateBoxMesh(comm, dim, simplex, cells, NULL, NULL, mod->bcs, PETSC_TRUE, &dm);CHKERRQ(ierr);
1784c4762a1bSJed Brown       if (flg2) {
1785c4762a1bSJed Brown         PetscInt dimEmbed, i;
1786c4762a1bSJed Brown         PetscInt nCoords;
1787c4762a1bSJed Brown         PetscScalar *coords;
1788c4762a1bSJed Brown         Vec coordinates;
1789c4762a1bSJed Brown 
1790c4762a1bSJed Brown         ierr = DMGetCoordinatesLocal(dm,&coordinates);CHKERRQ(ierr);
1791c4762a1bSJed Brown         ierr = DMGetCoordinateDim(dm,&dimEmbed);CHKERRQ(ierr);
1792c4762a1bSJed Brown         ierr = VecGetLocalSize(coordinates,&nCoords);CHKERRQ(ierr);
1793c4762a1bSJed Brown         if (nCoords % dimEmbed) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Coordinate vector the wrong size");
1794c4762a1bSJed Brown         ierr = VecGetArray(coordinates,&coords);CHKERRQ(ierr);
1795c4762a1bSJed Brown         for (i = 0; i < nCoords; i += dimEmbed) {
1796c4762a1bSJed Brown           PetscInt j;
1797c4762a1bSJed Brown 
1798c4762a1bSJed Brown           PetscScalar *coord = &coords[i];
1799c4762a1bSJed Brown           for (j = 0; j < dimEmbed; j++) {
1800c4762a1bSJed Brown             coord[j] = mod->bounds[2 * j] + coord[j] * (mod->bounds[2 * j + 1] - mod->bounds[2 * j]);
1801c4762a1bSJed Brown             if (dim==2 && cells[1]==1 && j==0 && skew) {
1802c4762a1bSJed Brown               if (cells[0]==2 && i==8) {
1803c4762a1bSJed Brown                 coord[j] = .57735026918963; /* hack to get 60 deg skewed mesh */
1804c4762a1bSJed Brown               }
1805c4762a1bSJed Brown               else if (cells[0]==3) {
1806c4762a1bSJed Brown                 if (i==2 || i==10) coord[j] = mod->bounds[1]/4.;
1807c4762a1bSJed Brown                 else if (i==4) coord[j] = mod->bounds[1]/2.;
1808c4762a1bSJed Brown                 else if (i==12) coord[j] = 1.57735026918963*mod->bounds[1]/2.;
1809c4762a1bSJed Brown               }
1810c4762a1bSJed Brown             }
1811c4762a1bSJed Brown           }
1812c4762a1bSJed Brown         }
1813c4762a1bSJed Brown         ierr = VecRestoreArray(coordinates,&coords);CHKERRQ(ierr);
1814c4762a1bSJed Brown         ierr = DMSetCoordinatesLocal(dm,coordinates);CHKERRQ(ierr);
1815c4762a1bSJed Brown       }
1816c4762a1bSJed Brown     } else {
1817c4762a1bSJed Brown       ierr = DMPlexCreateFromFile(comm, filename, PETSC_TRUE, &dm);CHKERRQ(ierr);
1818c4762a1bSJed Brown     }
1819c4762a1bSJed Brown   }
1820c4762a1bSJed Brown   ierr = DMViewFromOptions(dm, NULL, "-orig_dm_view");CHKERRQ(ierr);
1821c4762a1bSJed Brown   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1822c4762a1bSJed Brown 
1823c4762a1bSJed Brown   /* set up BCs, functions, tags */
1824c4762a1bSJed Brown   ierr = DMCreateLabel(dm, "Face Sets");CHKERRQ(ierr);
1825c4762a1bSJed Brown 
1826c4762a1bSJed Brown   mod->errorIndicator = ErrorIndicator_Simple;
1827c4762a1bSJed Brown 
1828c4762a1bSJed Brown   {
1829c4762a1bSJed Brown     DM dmDist;
1830c4762a1bSJed Brown 
1831c4762a1bSJed Brown     ierr = DMSetBasicAdjacency(dm, PETSC_TRUE, PETSC_FALSE);CHKERRQ(ierr);
1832c4762a1bSJed Brown     ierr = DMPlexDistribute(dm, overlap, NULL, &dmDist);CHKERRQ(ierr);
1833c4762a1bSJed Brown     if (dmDist) {
1834c4762a1bSJed Brown       ierr = DMDestroy(&dm);CHKERRQ(ierr);
1835c4762a1bSJed Brown       dm   = dmDist;
1836c4762a1bSJed Brown     }
1837c4762a1bSJed Brown   }
1838c4762a1bSJed Brown 
1839c4762a1bSJed Brown   ierr = DMSetFromOptions(dm);CHKERRQ(ierr);
1840c4762a1bSJed Brown 
1841c4762a1bSJed Brown   {
1842c4762a1bSJed Brown     DM gdm;
1843c4762a1bSJed Brown 
1844c4762a1bSJed Brown     ierr = DMPlexConstructGhostCells(dm, NULL, NULL, &gdm);CHKERRQ(ierr);
1845c4762a1bSJed Brown     ierr = DMDestroy(&dm);CHKERRQ(ierr);
1846c4762a1bSJed Brown     dm   = gdm;
1847c4762a1bSJed Brown     ierr = DMViewFromOptions(dm, NULL, "-dm_view");CHKERRQ(ierr);
1848c4762a1bSJed Brown   }
1849c4762a1bSJed Brown   if (splitFaces) {ierr = ConstructCellBoundary(dm, user);CHKERRQ(ierr);}
1850c4762a1bSJed Brown   ierr = SplitFaces(&dm, "split faces", user);CHKERRQ(ierr);
1851c4762a1bSJed Brown 
1852c4762a1bSJed Brown   ierr = PetscFVCreate(comm, &fvm);CHKERRQ(ierr);
1853c4762a1bSJed Brown   ierr = PetscFVSetFromOptions(fvm);CHKERRQ(ierr);
1854c4762a1bSJed Brown   ierr = PetscFVSetNumComponents(fvm, phys->dof);CHKERRQ(ierr);
1855c4762a1bSJed Brown   ierr = PetscFVSetSpatialDimension(fvm, dim);CHKERRQ(ierr);
1856c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) fvm,"");CHKERRQ(ierr);
1857c4762a1bSJed Brown   {
1858c4762a1bSJed Brown     PetscInt f, dof;
1859c4762a1bSJed Brown     for (f=0,dof=0; f < phys->nfields; f++) {
1860c4762a1bSJed Brown       PetscInt newDof = phys->field_desc[f].dof;
1861c4762a1bSJed Brown 
1862c4762a1bSJed Brown       if (newDof == 1) {
1863c4762a1bSJed Brown         ierr = PetscFVSetComponentName(fvm,dof,phys->field_desc[f].name);CHKERRQ(ierr);
1864c4762a1bSJed Brown       }
1865c4762a1bSJed Brown       else {
1866c4762a1bSJed Brown         PetscInt j;
1867c4762a1bSJed Brown 
1868c4762a1bSJed Brown         for (j = 0; j < newDof; j++) {
1869c4762a1bSJed Brown           char     compName[256]  = "Unknown";
1870c4762a1bSJed Brown 
1871c4762a1bSJed Brown           ierr = PetscSNPrintf(compName,sizeof(compName),"%s_%d",phys->field_desc[f].name,j);CHKERRQ(ierr);
1872c4762a1bSJed Brown           ierr = PetscFVSetComponentName(fvm,dof+j,compName);CHKERRQ(ierr);
1873c4762a1bSJed Brown         }
1874c4762a1bSJed Brown       }
1875c4762a1bSJed Brown       dof += newDof;
1876c4762a1bSJed Brown     }
1877c4762a1bSJed Brown   }
1878c4762a1bSJed Brown   /* FV is now structured with one field having all physics as components */
1879c4762a1bSJed Brown   ierr = DMAddField(dm, NULL, (PetscObject) fvm);CHKERRQ(ierr);
1880c4762a1bSJed Brown   ierr = DMCreateDS(dm);CHKERRQ(ierr);
1881c4762a1bSJed Brown   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
1882c4762a1bSJed Brown   ierr = PetscDSSetRiemannSolver(prob, 0, user->model->physics->riemann);CHKERRQ(ierr);
1883c4762a1bSJed Brown   ierr = PetscDSSetContext(prob, 0, user->model->physics);CHKERRQ(ierr);
1884*45480ffeSMatthew G. Knepley   ierr = (*mod->setupbc)(dm, prob,phys);CHKERRQ(ierr);
1885c4762a1bSJed Brown   ierr = PetscDSSetFromOptions(prob);CHKERRQ(ierr);
1886c4762a1bSJed Brown   {
1887c4762a1bSJed Brown     char      convType[256];
1888c4762a1bSJed Brown     PetscBool flg;
1889c4762a1bSJed Brown 
1890c4762a1bSJed Brown     ierr = PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
1891c4762a1bSJed Brown     ierr = PetscOptionsFList("-dm_type","Convert DMPlex to another format","ex12",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
1892c4762a1bSJed Brown     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1893c4762a1bSJed Brown     if (flg) {
1894c4762a1bSJed Brown       DM dmConv;
1895c4762a1bSJed Brown 
1896c4762a1bSJed Brown       ierr = DMConvert(dm,convType,&dmConv);CHKERRQ(ierr);
1897c4762a1bSJed Brown       if (dmConv) {
1898c4762a1bSJed Brown         ierr = DMViewFromOptions(dmConv, NULL, "-dm_conv_view");CHKERRQ(ierr);
1899c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
1900c4762a1bSJed Brown         dm   = dmConv;
1901c4762a1bSJed Brown         ierr = DMSetFromOptions(dm);CHKERRQ(ierr);
1902c4762a1bSJed Brown       }
1903c4762a1bSJed Brown     }
1904c4762a1bSJed Brown   }
1905c4762a1bSJed Brown 
1906c4762a1bSJed Brown   ierr = initializeTS(dm, user, &ts);CHKERRQ(ierr);
1907c4762a1bSJed Brown 
1908c4762a1bSJed Brown   ierr = DMCreateGlobalVector(dm, &X);CHKERRQ(ierr);
1909c4762a1bSJed Brown   ierr = PetscObjectSetName((PetscObject) X, "solution");CHKERRQ(ierr);
1910c4762a1bSJed Brown   ierr = SetInitialCondition(dm, X, user);CHKERRQ(ierr);
1911c4762a1bSJed Brown   if (useAMR) {
1912c4762a1bSJed Brown     PetscInt adaptIter;
1913c4762a1bSJed Brown 
1914c4762a1bSJed Brown     /* use no limiting when reconstructing gradients for adaptivity */
1915c4762a1bSJed Brown     ierr = PetscFVGetLimiter(fvm, &limiter);CHKERRQ(ierr);
1916c4762a1bSJed Brown     ierr = PetscObjectReference((PetscObject) limiter);CHKERRQ(ierr);
1917c4762a1bSJed Brown     ierr = PetscLimiterCreate(PetscObjectComm((PetscObject) fvm), &noneLimiter);CHKERRQ(ierr);
1918c4762a1bSJed Brown     ierr = PetscLimiterSetType(noneLimiter, PETSCLIMITERNONE);CHKERRQ(ierr);
1919c4762a1bSJed Brown 
1920c4762a1bSJed Brown     ierr = PetscFVSetLimiter(fvm, noneLimiter);CHKERRQ(ierr);
1921c4762a1bSJed Brown     for (adaptIter = 0; ; ++adaptIter) {
1922c4762a1bSJed Brown       PetscLogDouble bytes;
1923c4762a1bSJed Brown       TS             tsNew = NULL;
1924c4762a1bSJed Brown 
1925c4762a1bSJed Brown       ierr = PetscMemoryGetCurrentUsage(&bytes);CHKERRQ(ierr);
1926c4762a1bSJed Brown       ierr = PetscInfo2(ts, "refinement loop %D: memory used %g\n", adaptIter, bytes);CHKERRQ(ierr);
1927c4762a1bSJed Brown       ierr = DMViewFromOptions(dm, NULL, "-initial_dm_view");CHKERRQ(ierr);
1928c4762a1bSJed Brown       ierr = VecViewFromOptions(X, NULL, "-initial_vec_view");CHKERRQ(ierr);
1929c4762a1bSJed Brown #if 0
1930c4762a1bSJed Brown       if (viewInitial) {
1931c4762a1bSJed Brown         PetscViewer viewer;
1932c4762a1bSJed Brown         char        buf[256];
1933c4762a1bSJed Brown         PetscBool   isHDF5, isVTK;
1934c4762a1bSJed Brown 
1935c4762a1bSJed Brown         ierr = PetscViewerCreate(comm,&viewer);CHKERRQ(ierr);
1936c4762a1bSJed Brown         ierr = PetscViewerSetType(viewer,PETSCVIEWERVTK);CHKERRQ(ierr);
1937c4762a1bSJed Brown         ierr = PetscViewerSetOptionsPrefix(viewer,"initial_");CHKERRQ(ierr);
1938c4762a1bSJed Brown         ierr = PetscViewerSetFromOptions(viewer);CHKERRQ(ierr);
1939c4762a1bSJed Brown         ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERHDF5,&isHDF5);CHKERRQ(ierr);
1940c4762a1bSJed Brown         ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERVTK,&isVTK);CHKERRQ(ierr);
1941c4762a1bSJed Brown         if (isHDF5) {
1942c4762a1bSJed Brown           ierr = PetscSNPrintf(buf, 256, "ex11-initial-%d.h5", adaptIter);CHKERRQ(ierr);
1943c4762a1bSJed Brown         } else if (isVTK) {
1944c4762a1bSJed Brown           ierr = PetscSNPrintf(buf, 256, "ex11-initial-%d.vtu", adaptIter);CHKERRQ(ierr);
1945c4762a1bSJed Brown           ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_VTK_VTU);CHKERRQ(ierr);
1946c4762a1bSJed Brown         }
1947c4762a1bSJed Brown         ierr = PetscViewerFileSetMode(viewer,FILE_MODE_WRITE);CHKERRQ(ierr);
1948c4762a1bSJed Brown         ierr = PetscViewerFileSetName(viewer,buf);CHKERRQ(ierr);
1949c4762a1bSJed Brown         if (isHDF5) {
1950c4762a1bSJed Brown           ierr = DMView(dm,viewer);CHKERRQ(ierr);
1951c4762a1bSJed Brown           ierr = PetscViewerFileSetMode(viewer,FILE_MODE_UPDATE);CHKERRQ(ierr);
1952c4762a1bSJed Brown         }
1953c4762a1bSJed Brown         ierr = VecView(X,viewer);CHKERRQ(ierr);
1954c4762a1bSJed Brown         ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1955c4762a1bSJed Brown       }
1956c4762a1bSJed Brown #endif
1957c4762a1bSJed Brown 
1958c4762a1bSJed Brown       ierr = adaptToleranceFVM(fvm, ts, X, refineTag, coarsenTag, user, &tsNew, NULL);CHKERRQ(ierr);
1959c4762a1bSJed Brown       if (!tsNew) {
1960c4762a1bSJed Brown         break;
1961c4762a1bSJed Brown       } else {
1962c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
1963c4762a1bSJed Brown         ierr = VecDestroy(&X);CHKERRQ(ierr);
1964c4762a1bSJed Brown         ierr = TSDestroy(&ts);CHKERRQ(ierr);
1965c4762a1bSJed Brown         ts   = tsNew;
1966c4762a1bSJed Brown         ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1967c4762a1bSJed Brown         ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
1968c4762a1bSJed Brown         ierr = DMCreateGlobalVector(dm,&X);CHKERRQ(ierr);
1969c4762a1bSJed Brown         ierr = PetscObjectSetName((PetscObject) X, "solution");CHKERRQ(ierr);
1970c4762a1bSJed Brown         ierr = SetInitialCondition(dm, X, user);CHKERRQ(ierr);
1971c4762a1bSJed Brown       }
1972c4762a1bSJed Brown     }
1973c4762a1bSJed Brown     /* restore original limiter */
1974c4762a1bSJed Brown     ierr = PetscFVSetLimiter(fvm, limiter);CHKERRQ(ierr);
1975c4762a1bSJed Brown   }
1976c4762a1bSJed Brown 
19773e9753d6SMatthew G. Knepley   ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
1978c4762a1bSJed Brown   if (vtkCellGeom) {
1979c4762a1bSJed Brown     DM  dmCell;
1980c4762a1bSJed Brown     Vec cellgeom, partition;
1981c4762a1bSJed Brown 
19823e9753d6SMatthew G. Knepley     ierr = DMPlexGetGeometryFVM(plex, NULL, &cellgeom, NULL);CHKERRQ(ierr);
1983c4762a1bSJed Brown     ierr = OutputVTK(dm, "ex11-cellgeom.vtk", &viewer);CHKERRQ(ierr);
1984c4762a1bSJed Brown     ierr = VecView(cellgeom, viewer);CHKERRQ(ierr);
1985c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1986c4762a1bSJed Brown     ierr = CreatePartitionVec(dm, &dmCell, &partition);CHKERRQ(ierr);
1987c4762a1bSJed Brown     ierr = OutputVTK(dmCell, "ex11-partition.vtk", &viewer);CHKERRQ(ierr);
1988c4762a1bSJed Brown     ierr = VecView(partition, viewer);CHKERRQ(ierr);
1989c4762a1bSJed Brown     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1990c4762a1bSJed Brown     ierr = VecDestroy(&partition);CHKERRQ(ierr);
1991c4762a1bSJed Brown     ierr = DMDestroy(&dmCell);CHKERRQ(ierr);
1992c4762a1bSJed Brown   }
1993c4762a1bSJed Brown   /* collect max maxspeed from all processes -- todo */
19943e9753d6SMatthew G. Knepley   ierr = DMPlexGetGeometryFVM(plex, NULL, NULL, &minRadius);CHKERRQ(ierr);
19953e9753d6SMatthew G. Knepley   ierr = DMDestroy(&plex);CHKERRQ(ierr);
1996ffc4695bSBarry Smith   ierr = MPI_Allreduce(&phys->maxspeed,&mod->maxspeed,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRMPI(ierr);
1997c4762a1bSJed Brown   if (mod->maxspeed <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set maxspeed",physname);
1998c4762a1bSJed Brown   dt   = cfl * minRadius / mod->maxspeed;
1999c4762a1bSJed Brown   ierr = TSSetTimeStep(ts,dt);CHKERRQ(ierr);
2000c4762a1bSJed Brown   ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
2001c4762a1bSJed Brown   if (!useAMR) {
2002c4762a1bSJed Brown     ierr = TSSolve(ts,X);CHKERRQ(ierr);
2003c4762a1bSJed Brown     ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
2004c4762a1bSJed Brown     ierr = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
2005c4762a1bSJed Brown   } else {
2006c4762a1bSJed Brown     PetscReal finalTime;
2007c4762a1bSJed Brown     PetscInt  adaptIter;
2008c4762a1bSJed Brown     TS        tsNew = NULL;
2009c4762a1bSJed Brown     Vec       solNew = NULL;
2010c4762a1bSJed Brown 
2011c4762a1bSJed Brown     ierr   = TSGetMaxTime(ts,&finalTime);CHKERRQ(ierr);
2012c4762a1bSJed Brown     ierr   = TSSetMaxSteps(ts,adaptInterval);CHKERRQ(ierr);
2013c4762a1bSJed Brown     ierr   = TSSolve(ts,X);CHKERRQ(ierr);
2014c4762a1bSJed Brown     ierr   = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
2015c4762a1bSJed Brown     ierr   = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
2016c4762a1bSJed Brown     for (adaptIter = 0;ftime < finalTime;adaptIter++) {
2017c4762a1bSJed Brown       PetscLogDouble bytes;
2018c4762a1bSJed Brown 
2019c4762a1bSJed Brown       ierr = PetscMemoryGetCurrentUsage(&bytes);CHKERRQ(ierr);
2020c4762a1bSJed Brown       ierr = PetscInfo2(ts, "AMR time step loop %D: memory used %g\n", adaptIter, bytes);CHKERRQ(ierr);
2021c4762a1bSJed Brown       ierr = PetscFVSetLimiter(fvm,noneLimiter);CHKERRQ(ierr);
2022c4762a1bSJed Brown       ierr = adaptToleranceFVM(fvm,ts,X,refineTag,coarsenTag,user,&tsNew,&solNew);CHKERRQ(ierr);
2023c4762a1bSJed Brown       ierr = PetscFVSetLimiter(fvm,limiter);CHKERRQ(ierr);
2024c4762a1bSJed Brown       if (tsNew) {
2025c4762a1bSJed Brown         ierr = PetscInfo(ts, "AMR used\n");CHKERRQ(ierr);
2026c4762a1bSJed Brown         ierr = DMDestroy(&dm);CHKERRQ(ierr);
2027c4762a1bSJed Brown         ierr = VecDestroy(&X);CHKERRQ(ierr);
2028c4762a1bSJed Brown         ierr = TSDestroy(&ts);CHKERRQ(ierr);
2029c4762a1bSJed Brown         ts   = tsNew;
2030c4762a1bSJed Brown         X    = solNew;
2031c4762a1bSJed Brown         ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
2032c4762a1bSJed Brown         ierr = VecGetDM(X,&dm);CHKERRQ(ierr);
2033c4762a1bSJed Brown         ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
20343e9753d6SMatthew G. Knepley         ierr = DMConvert(dm, DMPLEX, &plex);CHKERRQ(ierr);
20353e9753d6SMatthew G. Knepley         ierr = DMPlexGetGeometryFVM(dm, NULL, NULL, &minRadius);CHKERRQ(ierr);
20363e9753d6SMatthew G. Knepley         ierr = DMDestroy(&plex);CHKERRQ(ierr);
2037ffc4695bSBarry Smith         ierr = MPI_Allreduce(&phys->maxspeed,&mod->maxspeed,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRMPI(ierr);
2038c4762a1bSJed Brown         if (mod->maxspeed <= 0) SETERRQ1(comm,PETSC_ERR_ARG_WRONGSTATE,"Physics '%s' did not set maxspeed",physname);
2039c4762a1bSJed Brown         dt   = cfl * minRadius / mod->maxspeed;
2040c4762a1bSJed Brown         ierr = TSSetStepNumber(ts,nsteps);CHKERRQ(ierr);
2041c4762a1bSJed Brown         ierr = TSSetTime(ts,ftime);CHKERRQ(ierr);
2042c4762a1bSJed Brown         ierr = TSSetTimeStep(ts,dt);CHKERRQ(ierr);
2043c4762a1bSJed Brown       } else {
2044c4762a1bSJed Brown         ierr = PetscInfo(ts, "AMR not used\n");CHKERRQ(ierr);
2045c4762a1bSJed Brown       }
2046c4762a1bSJed Brown       user->monitorStepOffset = nsteps;
2047c4762a1bSJed Brown       ierr = TSSetMaxSteps(ts,nsteps+adaptInterval);CHKERRQ(ierr);
2048c4762a1bSJed Brown       ierr = TSSolve(ts,X);CHKERRQ(ierr);
2049c4762a1bSJed Brown       ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
2050c4762a1bSJed Brown       ierr = TSGetStepNumber(ts,&nsteps);CHKERRQ(ierr);
2051c4762a1bSJed Brown     }
2052c4762a1bSJed Brown   }
2053c4762a1bSJed Brown   ierr = TSGetConvergedReason(ts,&reason);CHKERRQ(ierr);
2054c4762a1bSJed Brown   ierr = PetscPrintf(PETSC_COMM_WORLD,"%s at time %g after %D steps\n",TSConvergedReasons[reason],(double)ftime,nsteps);CHKERRQ(ierr);
2055c4762a1bSJed Brown   ierr = TSDestroy(&ts);CHKERRQ(ierr);
2056c4762a1bSJed Brown 
2057c4762a1bSJed Brown   ierr = VecTaggerDestroy(&refineTag);CHKERRQ(ierr);
2058c4762a1bSJed Brown   ierr = VecTaggerDestroy(&coarsenTag);CHKERRQ(ierr);
2059c4762a1bSJed Brown   ierr = PetscFunctionListDestroy(&PhysicsList);CHKERRQ(ierr);
20608d2c18caSMukkund Sunjii   ierr = PetscFunctionListDestroy(&PhysicsRiemannList_SW);CHKERRQ(ierr);
2061c4762a1bSJed Brown   ierr = FunctionalLinkDestroy(&user->model->functionalRegistry);CHKERRQ(ierr);
2062c4762a1bSJed Brown   ierr = PetscFree(user->model->functionalMonitored);CHKERRQ(ierr);
2063c4762a1bSJed Brown   ierr = PetscFree(user->model->functionalCall);CHKERRQ(ierr);
2064c4762a1bSJed Brown   ierr = PetscFree(user->model->physics->data);CHKERRQ(ierr);
2065c4762a1bSJed Brown   ierr = PetscFree(user->model->physics);CHKERRQ(ierr);
2066c4762a1bSJed Brown   ierr = PetscFree(user->model);CHKERRQ(ierr);
2067c4762a1bSJed Brown   ierr = PetscFree(user);CHKERRQ(ierr);
2068c4762a1bSJed Brown   ierr = VecDestroy(&X);CHKERRQ(ierr);
2069c4762a1bSJed Brown   ierr = PetscLimiterDestroy(&limiter);CHKERRQ(ierr);
2070c4762a1bSJed Brown   ierr = PetscLimiterDestroy(&noneLimiter);CHKERRQ(ierr);
2071c4762a1bSJed Brown   ierr = PetscFVDestroy(&fvm);CHKERRQ(ierr);
2072c4762a1bSJed Brown   ierr = DMDestroy(&dm);CHKERRQ(ierr);
2073c4762a1bSJed Brown   ierr = PetscFinalize();
2074c4762a1bSJed Brown   return ierr;
2075c4762a1bSJed Brown }
2076c4762a1bSJed Brown 
2077c4762a1bSJed Brown /* Godunov fluxs */
2078c4762a1bSJed Brown PetscScalar cvmgp_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
2079c4762a1bSJed Brown {
2080c4762a1bSJed Brown     /* System generated locals */
2081c4762a1bSJed Brown     PetscScalar ret_val;
2082c4762a1bSJed Brown 
2083c4762a1bSJed Brown     if (PetscRealPart(*test) > 0.) {
2084c4762a1bSJed Brown         goto L10;
2085c4762a1bSJed Brown     }
2086c4762a1bSJed Brown     ret_val = *b;
2087c4762a1bSJed Brown     return ret_val;
2088c4762a1bSJed Brown L10:
2089c4762a1bSJed Brown     ret_val = *a;
2090c4762a1bSJed Brown     return ret_val;
2091c4762a1bSJed Brown } /* cvmgp_ */
2092c4762a1bSJed Brown 
2093c4762a1bSJed Brown PetscScalar cvmgm_(PetscScalar *a, PetscScalar *b, PetscScalar *test)
2094c4762a1bSJed Brown {
2095c4762a1bSJed Brown     /* System generated locals */
2096c4762a1bSJed Brown     PetscScalar ret_val;
2097c4762a1bSJed Brown 
2098c4762a1bSJed Brown     if (PetscRealPart(*test) < 0.) {
2099c4762a1bSJed Brown         goto L10;
2100c4762a1bSJed Brown     }
2101c4762a1bSJed Brown     ret_val = *b;
2102c4762a1bSJed Brown     return ret_val;
2103c4762a1bSJed Brown L10:
2104c4762a1bSJed Brown     ret_val = *a;
2105c4762a1bSJed Brown     return ret_val;
2106c4762a1bSJed Brown } /* cvmgm_ */
2107c4762a1bSJed Brown 
2108c4762a1bSJed Brown int riem1mdt( PetscScalar *gaml, PetscScalar *gamr, PetscScalar *rl, PetscScalar *pl,
2109c4762a1bSJed Brown               PetscScalar *uxl, PetscScalar *rr, PetscScalar *pr,
2110c4762a1bSJed Brown               PetscScalar *uxr, PetscScalar *rstarl, PetscScalar *rstarr, PetscScalar *
2111c4762a1bSJed Brown               pstar, PetscScalar *ustar)
2112c4762a1bSJed Brown {
2113c4762a1bSJed Brown     /* Initialized data */
2114c4762a1bSJed Brown 
2115c4762a1bSJed Brown     static PetscScalar smallp = 1e-8;
2116c4762a1bSJed Brown 
2117c4762a1bSJed Brown     /* System generated locals */
2118c4762a1bSJed Brown     int i__1;
2119c4762a1bSJed Brown     PetscScalar d__1, d__2;
2120c4762a1bSJed Brown 
2121c4762a1bSJed Brown     /* Local variables */
2122c4762a1bSJed Brown     static int i0;
2123c4762a1bSJed Brown     static PetscScalar cl, cr, wl, zl, wr, zr, pst, durl, skpr1, skpr2;
2124c4762a1bSJed Brown     static int iwave;
2125c4762a1bSJed Brown     static PetscScalar gascl4, gascr4, cstarl, dpstar, cstarr;
2126c4762a1bSJed Brown     /* static PetscScalar csqrl, csqrr, gascl1, gascl2, gascl3, gascr1, gascr2, gascr3; */
2127c4762a1bSJed Brown     static int iterno;
2128c4762a1bSJed Brown     static PetscScalar ustarl, ustarr, rarepr1, rarepr2;
2129c4762a1bSJed Brown 
2130c4762a1bSJed Brown 
2131c4762a1bSJed Brown 
2132c4762a1bSJed Brown     /* gascl1 = *gaml - 1.; */
2133c4762a1bSJed Brown     /* gascl2 = (*gaml + 1.) * .5; */
2134c4762a1bSJed Brown     /* gascl3 = gascl2 / *gaml; */
2135c4762a1bSJed Brown     gascl4 = 1. / (*gaml - 1.);
2136c4762a1bSJed Brown 
2137c4762a1bSJed Brown     /* gascr1 = *gamr - 1.; */
2138c4762a1bSJed Brown     /* gascr2 = (*gamr + 1.) * .5; */
2139c4762a1bSJed Brown     /* gascr3 = gascr2 / *gamr; */
2140c4762a1bSJed Brown     gascr4 = 1. / (*gamr - 1.);
2141c4762a1bSJed Brown     iterno = 10;
2142c4762a1bSJed Brown /*        find pstar: */
2143c4762a1bSJed Brown     cl = PetscSqrtScalar(*gaml * *pl / *rl);
2144c4762a1bSJed Brown     cr = PetscSqrtScalar(*gamr * *pr / *rr);
2145c4762a1bSJed Brown     wl = *rl * cl;
2146c4762a1bSJed Brown     wr = *rr * cr;
2147c4762a1bSJed Brown     /* csqrl = wl * wl; */
2148c4762a1bSJed Brown     /* csqrr = wr * wr; */
2149c4762a1bSJed Brown     *pstar = (wl * *pr + wr * *pl) / (wl + wr);
2150c4762a1bSJed Brown     *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2151c4762a1bSJed Brown     pst = *pl / *pr;
2152c4762a1bSJed Brown     skpr1 = cr * (pst - 1.) * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2153c4762a1bSJed Brown     d__1 = (*gamr - 1.) / (*gamr * 2.);
2154c4762a1bSJed Brown     rarepr2 = gascr4 * 2. * cr * (1. - PetscPowScalar(pst, d__1));
2155c4762a1bSJed Brown     pst = *pr / *pl;
2156c4762a1bSJed Brown     skpr2 = cl * (pst - 1.) * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2157c4762a1bSJed Brown     d__1 = (*gaml - 1.) / (*gaml * 2.);
2158c4762a1bSJed Brown     rarepr1 = gascl4 * 2. * cl * (1. - PetscPowScalar(pst, d__1));
2159c4762a1bSJed Brown     durl = *uxr - *uxl;
2160c4762a1bSJed Brown     if (PetscRealPart(*pr) < PetscRealPart(*pl)) {
2161c4762a1bSJed Brown         if (PetscRealPart(durl) >= PetscRealPart(rarepr1)) {
2162c4762a1bSJed Brown             iwave = 100;
2163c4762a1bSJed Brown         } else if (PetscRealPart(durl) <= PetscRealPart(-skpr1)) {
2164c4762a1bSJed Brown             iwave = 300;
2165c4762a1bSJed Brown         } else {
2166c4762a1bSJed Brown             iwave = 400;
2167c4762a1bSJed Brown         }
2168c4762a1bSJed Brown     } else {
2169c4762a1bSJed Brown         if (PetscRealPart(durl) >= PetscRealPart(rarepr2)) {
2170c4762a1bSJed Brown             iwave = 100;
2171c4762a1bSJed Brown         } else if (PetscRealPart(durl) <= PetscRealPart(-skpr2)) {
2172c4762a1bSJed Brown             iwave = 300;
2173c4762a1bSJed Brown         } else {
2174c4762a1bSJed Brown             iwave = 200;
2175c4762a1bSJed Brown         }
2176c4762a1bSJed Brown     }
2177c4762a1bSJed Brown     if (iwave == 100) {
2178c4762a1bSJed Brown /*     1-wave: rarefaction wave, 3-wave: rarefaction wave */
2179c4762a1bSJed Brown /*     case (100) */
2180c4762a1bSJed Brown         i__1 = iterno;
2181c4762a1bSJed Brown         for (i0 = 1; i0 <= i__1; ++i0) {
2182c4762a1bSJed Brown             d__1 = *pstar / *pl;
2183c4762a1bSJed Brown             d__2 = 1. / *gaml;
2184c4762a1bSJed Brown             *rstarl = *rl * PetscPowScalar(d__1, d__2);
2185c4762a1bSJed Brown             cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
2186c4762a1bSJed Brown             ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
2187c4762a1bSJed Brown             zl = *rstarl * cstarl;
2188c4762a1bSJed Brown             d__1 = *pstar / *pr;
2189c4762a1bSJed Brown             d__2 = 1. / *gamr;
2190c4762a1bSJed Brown             *rstarr = *rr * PetscPowScalar(d__1, d__2);
2191c4762a1bSJed Brown             cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
2192c4762a1bSJed Brown             ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
2193c4762a1bSJed Brown             zr = *rstarr * cstarr;
2194c4762a1bSJed Brown             dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2195c4762a1bSJed Brown             *pstar -= dpstar;
2196c4762a1bSJed Brown             *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2197c4762a1bSJed Brown             if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2198c4762a1bSJed Brown #if 0
2199c4762a1bSJed Brown         break;
2200c4762a1bSJed Brown #endif
2201c4762a1bSJed Brown             }
2202c4762a1bSJed Brown         }
2203c4762a1bSJed Brown /*     1-wave: shock wave, 3-wave: rarefaction wave */
2204c4762a1bSJed Brown     } else if (iwave == 200) {
2205c4762a1bSJed Brown /*     case (200) */
2206c4762a1bSJed Brown         i__1 = iterno;
2207c4762a1bSJed Brown         for (i0 = 1; i0 <= i__1; ++i0) {
2208c4762a1bSJed Brown             pst = *pstar / *pl;
2209c4762a1bSJed Brown             ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2210c4762a1bSJed Brown             zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
2211c4762a1bSJed Brown             d__1 = *pstar / *pr;
2212c4762a1bSJed Brown             d__2 = 1. / *gamr;
2213c4762a1bSJed Brown             *rstarr = *rr * PetscPowScalar(d__1, d__2);
2214c4762a1bSJed Brown             cstarr = PetscSqrtScalar(*gamr * *pstar / *rstarr);
2215c4762a1bSJed Brown             zr = *rstarr * cstarr;
2216c4762a1bSJed Brown             ustarr = *uxr + gascr4 * 2. * (cstarr - cr);
2217c4762a1bSJed Brown             dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2218c4762a1bSJed Brown             *pstar -= dpstar;
2219c4762a1bSJed Brown             *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2220c4762a1bSJed Brown             if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2221c4762a1bSJed Brown #if 0
2222c4762a1bSJed Brown         break;
2223c4762a1bSJed Brown #endif
2224c4762a1bSJed Brown             }
2225c4762a1bSJed Brown         }
2226c4762a1bSJed Brown /*     1-wave: shock wave, 3-wave: shock */
2227c4762a1bSJed Brown     } else if (iwave == 300) {
2228c4762a1bSJed Brown /*     case (300) */
2229c4762a1bSJed Brown         i__1 = iterno;
2230c4762a1bSJed Brown         for (i0 = 1; i0 <= i__1; ++i0) {
2231c4762a1bSJed Brown             pst = *pstar / *pl;
2232c4762a1bSJed Brown             ustarl = *uxl - (pst - 1.) * cl * PetscSqrtScalar(2. / (*gaml * (*gaml - 1. + (*gaml + 1.) * pst)));
2233c4762a1bSJed Brown             zl = *pl / cl * PetscSqrtScalar(*gaml * 2. * (*gaml - 1. + (*gaml + 1.) * pst)) * (*gaml - 1. + (*gaml + 1.) * pst) / (*gaml * 3. - 1. + (*gaml + 1.) * pst);
2234c4762a1bSJed Brown             pst = *pstar / *pr;
2235c4762a1bSJed Brown             ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2236c4762a1bSJed Brown             zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
2237c4762a1bSJed Brown             dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2238c4762a1bSJed Brown             *pstar -= dpstar;
2239c4762a1bSJed Brown             *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2240c4762a1bSJed Brown             if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2241c4762a1bSJed Brown #if 0
2242c4762a1bSJed Brown         break;
2243c4762a1bSJed Brown #endif
2244c4762a1bSJed Brown             }
2245c4762a1bSJed Brown         }
2246c4762a1bSJed Brown /*     1-wave: rarefaction wave, 3-wave: shock */
2247c4762a1bSJed Brown     } else if (iwave == 400) {
2248c4762a1bSJed Brown /*     case (400) */
2249c4762a1bSJed Brown         i__1 = iterno;
2250c4762a1bSJed Brown         for (i0 = 1; i0 <= i__1; ++i0) {
2251c4762a1bSJed Brown             d__1 = *pstar / *pl;
2252c4762a1bSJed Brown             d__2 = 1. / *gaml;
2253c4762a1bSJed Brown             *rstarl = *rl * PetscPowScalar(d__1, d__2);
2254c4762a1bSJed Brown             cstarl = PetscSqrtScalar(*gaml * *pstar / *rstarl);
2255c4762a1bSJed Brown             ustarl = *uxl - gascl4 * 2. * (cstarl - cl);
2256c4762a1bSJed Brown             zl = *rstarl * cstarl;
2257c4762a1bSJed Brown             pst = *pstar / *pr;
2258c4762a1bSJed Brown             ustarr = *uxr + (pst - 1.) * cr * PetscSqrtScalar(2. / (*gamr * (*gamr - 1. + (*gamr + 1.) * pst)));
2259c4762a1bSJed Brown             zr = *pr / cr * PetscSqrtScalar(*gamr * 2. * (*gamr - 1. + (*gamr + 1.) * pst)) * (*gamr - 1. + (*gamr + 1.) * pst) / (*gamr * 3. - 1. + (*gamr + 1.) * pst);
2260c4762a1bSJed Brown             dpstar = zl * zr * (ustarr - ustarl) / (zl + zr);
2261c4762a1bSJed Brown             *pstar -= dpstar;
2262c4762a1bSJed Brown             *pstar = PetscMax(PetscRealPart(*pstar),PetscRealPart(smallp));
2263c4762a1bSJed Brown             if (PetscAbsScalar(dpstar) / PetscRealPart(*pstar) <= 1e-8) {
2264c4762a1bSJed Brown #if 0
2265c4762a1bSJed Brown               break;
2266c4762a1bSJed Brown #endif
2267c4762a1bSJed Brown             }
2268c4762a1bSJed Brown         }
2269c4762a1bSJed Brown     }
2270c4762a1bSJed Brown 
2271c4762a1bSJed Brown     *ustar = (zl * ustarr + zr * ustarl) / (zl + zr);
2272c4762a1bSJed Brown     if (PetscRealPart(*pstar) > PetscRealPart(*pl)) {
2273c4762a1bSJed Brown         pst = *pstar / *pl;
2274c4762a1bSJed Brown         *rstarl = ((*gaml + 1.) * pst + *gaml - 1.) / ((*gaml - 1.) * pst + *
2275c4762a1bSJed Brown                 gaml + 1.) * *rl;
2276c4762a1bSJed Brown     }
2277c4762a1bSJed Brown     if (PetscRealPart(*pstar) > PetscRealPart(*pr)) {
2278c4762a1bSJed Brown         pst = *pstar / *pr;
2279c4762a1bSJed Brown         *rstarr = ((*gamr + 1.) * pst + *gamr - 1.) / ((*gamr - 1.) * pst + *
2280c4762a1bSJed Brown                 gamr + 1.) * *rr;
2281c4762a1bSJed Brown     }
2282c4762a1bSJed Brown     return iwave;
2283c4762a1bSJed Brown }
2284c4762a1bSJed Brown 
2285c4762a1bSJed Brown PetscScalar sign(PetscScalar x)
2286c4762a1bSJed Brown {
2287c4762a1bSJed Brown     if (PetscRealPart(x) > 0) return 1.0;
2288c4762a1bSJed Brown     if (PetscRealPart(x) < 0) return -1.0;
2289c4762a1bSJed Brown     return 0.0;
2290c4762a1bSJed Brown }
2291c4762a1bSJed Brown /*        Riemann Solver */
2292c4762a1bSJed Brown /* -------------------------------------------------------------------- */
2293c4762a1bSJed Brown int riemannsolver(PetscScalar *xcen, PetscScalar *xp,
2294c4762a1bSJed Brown                    PetscScalar *dtt, PetscScalar *rl, PetscScalar *uxl, PetscScalar *pl,
2295c4762a1bSJed Brown                    PetscScalar *utl, PetscScalar *ubl, PetscScalar *gaml, PetscScalar *rho1l,
2296c4762a1bSJed Brown                    PetscScalar *rr, PetscScalar *uxr, PetscScalar *pr, PetscScalar *utr,
2297c4762a1bSJed Brown                    PetscScalar *ubr, PetscScalar *gamr, PetscScalar *rho1r, PetscScalar *rx,
2298c4762a1bSJed Brown                    PetscScalar *uxm, PetscScalar *px, PetscScalar *utx, PetscScalar *ubx,
2299c4762a1bSJed Brown                    PetscScalar *gam, PetscScalar *rho1)
2300c4762a1bSJed Brown {
2301c4762a1bSJed Brown     /* System generated locals */
2302c4762a1bSJed Brown     PetscScalar d__1, d__2;
2303c4762a1bSJed Brown 
2304c4762a1bSJed Brown     /* Local variables */
2305c4762a1bSJed Brown     static PetscScalar s, c0, p0, r0, u0, w0, x0, x2, ri, cx, sgn0, wsp0, gasc1, gasc2, gasc3, gasc4;
2306c4762a1bSJed Brown     static PetscScalar cstar, pstar, rstar, ustar, xstar, wspst, ushock, streng, rstarl, rstarr, rstars;
2307c4762a1bSJed Brown     int iwave;
2308c4762a1bSJed Brown 
2309c4762a1bSJed Brown     if (*rl == *rr && *pr == *pl && *uxl == *uxr && *gaml == *gamr) {
2310c4762a1bSJed Brown         *rx = *rl;
2311c4762a1bSJed Brown         *px = *pl;
2312c4762a1bSJed Brown         *uxm = *uxl;
2313c4762a1bSJed Brown         *gam = *gaml;
2314c4762a1bSJed Brown         x2 = *xcen + *uxm * *dtt;
2315c4762a1bSJed Brown 
2316c4762a1bSJed Brown         if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
2317c4762a1bSJed Brown             *utx = *utr;
2318c4762a1bSJed Brown             *ubx = *ubr;
2319c4762a1bSJed Brown             *rho1 = *rho1r;
2320c4762a1bSJed Brown         } else {
2321c4762a1bSJed Brown             *utx = *utl;
2322c4762a1bSJed Brown             *ubx = *ubl;
2323c4762a1bSJed Brown             *rho1 = *rho1l;
2324c4762a1bSJed Brown         }
2325c4762a1bSJed Brown         return 0;
2326c4762a1bSJed Brown     }
2327c4762a1bSJed Brown     iwave = riem1mdt(gaml, gamr, rl, pl, uxl, rr, pr, uxr, &rstarl, &rstarr, &pstar, &ustar);
2328c4762a1bSJed Brown 
2329c4762a1bSJed Brown     x2 = *xcen + ustar * *dtt;
2330c4762a1bSJed Brown     d__1 = *xp - x2;
2331c4762a1bSJed Brown     sgn0 = sign(d__1);
2332c4762a1bSJed Brown /*            x is in 3-wave if sgn0 = 1 */
2333c4762a1bSJed Brown /*            x is in 1-wave if sgn0 = -1 */
2334c4762a1bSJed Brown     r0 = cvmgm_(rl, rr, &sgn0);
2335c4762a1bSJed Brown     p0 = cvmgm_(pl, pr, &sgn0);
2336c4762a1bSJed Brown     u0 = cvmgm_(uxl, uxr, &sgn0);
2337c4762a1bSJed Brown     *gam = cvmgm_(gaml, gamr, &sgn0);
2338c4762a1bSJed Brown     gasc1 = *gam - 1.;
2339c4762a1bSJed Brown     gasc2 = (*gam + 1.) * .5;
2340c4762a1bSJed Brown     gasc3 = gasc2 / *gam;
2341c4762a1bSJed Brown     gasc4 = 1. / (*gam - 1.);
2342c4762a1bSJed Brown     c0 = PetscSqrtScalar(*gam * p0 / r0);
2343c4762a1bSJed Brown     streng = pstar - p0;
2344c4762a1bSJed Brown     w0 = *gam * r0 * p0 * (gasc3 * streng / p0 + 1.);
2345c4762a1bSJed Brown     rstars = r0 / (1. - r0 * streng / w0);
2346c4762a1bSJed Brown     d__1 = p0 / pstar;
2347c4762a1bSJed Brown     d__2 = -1. / *gam;
2348c4762a1bSJed Brown     rstarr = r0 * PetscPowScalar(d__1, d__2);
2349c4762a1bSJed Brown     rstar = cvmgm_(&rstarr, &rstars, &streng);
2350c4762a1bSJed Brown     w0 = PetscSqrtScalar(w0);
2351c4762a1bSJed Brown     cstar = PetscSqrtScalar(*gam * pstar / rstar);
2352c4762a1bSJed Brown     wsp0 = u0 + sgn0 * c0;
2353c4762a1bSJed Brown     wspst = ustar + sgn0 * cstar;
2354c4762a1bSJed Brown     ushock = ustar + sgn0 * w0 / rstar;
2355c4762a1bSJed Brown     wspst = cvmgp_(&ushock, &wspst, &streng);
2356c4762a1bSJed Brown     wsp0 = cvmgp_(&ushock, &wsp0, &streng);
2357c4762a1bSJed Brown     x0 = *xcen + wsp0 * *dtt;
2358c4762a1bSJed Brown     xstar = *xcen + wspst * *dtt;
2359c4762a1bSJed Brown /*           using gas formula to evaluate rarefaction wave */
2360c4762a1bSJed Brown /*            ri : reiman invariant */
2361c4762a1bSJed Brown     ri = u0 - sgn0 * 2. * gasc4 * c0;
2362c4762a1bSJed Brown     cx = sgn0 * .5 * gasc1 / gasc2 * ((*xp - *xcen) / *dtt - ri);
2363c4762a1bSJed Brown     *uxm = ri + sgn0 * 2. * gasc4 * cx;
2364c4762a1bSJed Brown     s = p0 / PetscPowScalar(r0, *gam);
2365c4762a1bSJed Brown     d__1 = cx * cx / (*gam * s);
2366c4762a1bSJed Brown     *rx = PetscPowScalar(d__1, gasc4);
2367c4762a1bSJed Brown     *px = cx * cx * *rx / *gam;
2368c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2369c4762a1bSJed Brown     *rx = cvmgp_(rx, &r0, &d__1);
2370c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2371c4762a1bSJed Brown     *px = cvmgp_(px, &p0, &d__1);
2372c4762a1bSJed Brown     d__1 = sgn0 * (x0 - *xp);
2373c4762a1bSJed Brown     *uxm = cvmgp_(uxm, &u0, &d__1);
2374c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2375c4762a1bSJed Brown     *rx = cvmgm_(rx, &rstar, &d__1);
2376c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2377c4762a1bSJed Brown     *px = cvmgm_(px, &pstar, &d__1);
2378c4762a1bSJed Brown     d__1 = sgn0 * (xstar - *xp);
2379c4762a1bSJed Brown     *uxm = cvmgm_(uxm, &ustar, &d__1);
2380c4762a1bSJed Brown     if (PetscRealPart(*xp) >= PetscRealPart(x2)) {
2381c4762a1bSJed Brown         *utx = *utr;
2382c4762a1bSJed Brown         *ubx = *ubr;
2383c4762a1bSJed Brown         *rho1 = *rho1r;
2384c4762a1bSJed Brown     } else {
2385c4762a1bSJed Brown         *utx = *utl;
2386c4762a1bSJed Brown         *ubx = *ubl;
2387c4762a1bSJed Brown         *rho1 = *rho1l;
2388c4762a1bSJed Brown     }
2389c4762a1bSJed Brown     return iwave;
2390c4762a1bSJed Brown }
2391c4762a1bSJed Brown int godunovflux( const PetscScalar *ul, const PetscScalar *ur,
2392c4762a1bSJed Brown                  PetscScalar *flux, const PetscReal *nn, const int *ndim,
2393c4762a1bSJed Brown                  const PetscReal *gamma)
2394c4762a1bSJed Brown {
2395c4762a1bSJed Brown     /* System generated locals */
2396c4762a1bSJed Brown   int i__1,iwave;
2397c4762a1bSJed Brown     PetscScalar d__1, d__2, d__3;
2398c4762a1bSJed Brown 
2399c4762a1bSJed Brown     /* Local variables */
2400c4762a1bSJed Brown     static int k;
2401c4762a1bSJed Brown     static PetscScalar bn[3], fn, ft, tg[3], pl, rl, pm, pr, rr, xp, ubl, ubm,
2402c4762a1bSJed Brown             ubr, dtt, unm, tmp, utl, utm, uxl, utr, uxr, gaml, gamm, gamr,
2403c4762a1bSJed Brown             xcen, rhom, rho1l, rho1m, rho1r;
2404c4762a1bSJed Brown 
2405c4762a1bSJed Brown     /* Function Body */
2406c4762a1bSJed Brown     xcen = 0.;
2407c4762a1bSJed Brown     xp = 0.;
2408c4762a1bSJed Brown     i__1 = *ndim;
2409c4762a1bSJed Brown     for (k = 1; k <= i__1; ++k) {
2410c4762a1bSJed Brown         tg[k - 1] = 0.;
2411c4762a1bSJed Brown         bn[k - 1] = 0.;
2412c4762a1bSJed Brown     }
2413c4762a1bSJed Brown     dtt = 1.;
2414c4762a1bSJed Brown     if (*ndim == 3) {
2415a795f3e7SBarry Smith         if (nn[0] == 0. && nn[1] == 0.) {
2416c4762a1bSJed Brown             tg[0] = 1.;
2417c4762a1bSJed Brown         } else {
2418a795f3e7SBarry Smith             tg[0] = -nn[1];
2419a795f3e7SBarry Smith             tg[1] = nn[0];
2420c4762a1bSJed Brown         }
2421c4762a1bSJed Brown /*           tmp=dsqrt(tg(1)**2+tg(2)**2) */
2422c4762a1bSJed Brown /*           tg=tg/tmp */
2423a795f3e7SBarry Smith         bn[0] = -nn[2] * tg[1];
2424a795f3e7SBarry Smith         bn[1] = nn[2] * tg[0];
2425a795f3e7SBarry Smith         bn[2] = nn[0] * tg[1] - nn[1] * tg[0];
2426c4762a1bSJed Brown /* Computing 2nd power */
2427c4762a1bSJed Brown         d__1 = bn[0];
2428c4762a1bSJed Brown /* Computing 2nd power */
2429c4762a1bSJed Brown         d__2 = bn[1];
2430c4762a1bSJed Brown /* Computing 2nd power */
2431c4762a1bSJed Brown         d__3 = bn[2];
2432c4762a1bSJed Brown         tmp = PetscSqrtScalar(d__1 * d__1 + d__2 * d__2 + d__3 * d__3);
2433c4762a1bSJed Brown         i__1 = *ndim;
2434c4762a1bSJed Brown         for (k = 1; k <= i__1; ++k) {
2435c4762a1bSJed Brown             bn[k - 1] /= tmp;
2436c4762a1bSJed Brown         }
2437c4762a1bSJed Brown     } else if (*ndim == 2) {
2438a795f3e7SBarry Smith         tg[0] = -nn[1];
2439a795f3e7SBarry Smith         tg[1] = nn[0];
2440c4762a1bSJed Brown /*           tmp=dsqrt(tg(1)**2+tg(2)**2) */
2441c4762a1bSJed Brown /*           tg=tg/tmp */
2442c4762a1bSJed Brown         bn[0] = 0.;
2443c4762a1bSJed Brown         bn[1] = 0.;
2444c4762a1bSJed Brown         bn[2] = 1.;
2445c4762a1bSJed Brown     }
2446a795f3e7SBarry Smith     rl = ul[0];
2447a795f3e7SBarry Smith     rr = ur[0];
2448c4762a1bSJed Brown     uxl = 0.;
2449c4762a1bSJed Brown     uxr = 0.;
2450c4762a1bSJed Brown     utl = 0.;
2451c4762a1bSJed Brown     utr = 0.;
2452c4762a1bSJed Brown     ubl = 0.;
2453c4762a1bSJed Brown     ubr = 0.;
2454c4762a1bSJed Brown     i__1 = *ndim;
2455c4762a1bSJed Brown     for (k = 1; k <= i__1; ++k) {
2456a795f3e7SBarry Smith         uxl += ul[k] * nn[k-1];
2457a795f3e7SBarry Smith         uxr += ur[k] * nn[k-1];
2458a795f3e7SBarry Smith         utl += ul[k] * tg[k - 1];
2459a795f3e7SBarry Smith         utr += ur[k] * tg[k - 1];
2460a795f3e7SBarry Smith         ubl += ul[k] * bn[k - 1];
2461a795f3e7SBarry Smith         ubr += ur[k] * bn[k - 1];
2462c4762a1bSJed Brown     }
2463c4762a1bSJed Brown     uxl /= rl;
2464c4762a1bSJed Brown     uxr /= rr;
2465c4762a1bSJed Brown     utl /= rl;
2466c4762a1bSJed Brown     utr /= rr;
2467c4762a1bSJed Brown     ubl /= rl;
2468c4762a1bSJed Brown     ubr /= rr;
2469c4762a1bSJed Brown 
2470c4762a1bSJed Brown     gaml = *gamma;
2471c4762a1bSJed Brown     gamr = *gamma;
2472c4762a1bSJed Brown /* Computing 2nd power */
2473c4762a1bSJed Brown     d__1 = uxl;
2474c4762a1bSJed Brown /* Computing 2nd power */
2475c4762a1bSJed Brown     d__2 = utl;
2476c4762a1bSJed Brown /* Computing 2nd power */
2477c4762a1bSJed Brown     d__3 = ubl;
2478a795f3e7SBarry Smith     pl = (*gamma - 1.) * (ul[*ndim + 1] - rl * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2479c4762a1bSJed Brown /* Computing 2nd power */
2480c4762a1bSJed Brown     d__1 = uxr;
2481c4762a1bSJed Brown /* Computing 2nd power */
2482c4762a1bSJed Brown     d__2 = utr;
2483c4762a1bSJed Brown /* Computing 2nd power */
2484c4762a1bSJed Brown     d__3 = ubr;
2485a795f3e7SBarry Smith     pr = (*gamma - 1.) * (ur[*ndim + 1] - rr * .5 * (d__1 * d__1 + d__2 * d__2 + d__3 * d__3));
2486c4762a1bSJed Brown     rho1l = rl;
2487c4762a1bSJed Brown     rho1r = rr;
2488c4762a1bSJed Brown 
2489c4762a1bSJed Brown     iwave = riemannsolver(&xcen, &xp, &dtt, &rl, &uxl, &pl, &utl, &ubl, &gaml, &
2490c4762a1bSJed Brown                           rho1l, &rr, &uxr, &pr, &utr, &ubr, &gamr, &rho1r, &rhom, &unm, &
2491c4762a1bSJed Brown                           pm, &utm, &ubm, &gamm, &rho1m);
2492c4762a1bSJed Brown 
2493a795f3e7SBarry Smith     flux[0] = rhom * unm;
2494c4762a1bSJed Brown     fn = rhom * unm * unm + pm;
2495c4762a1bSJed Brown     ft = rhom * unm * utm;
2496c4762a1bSJed Brown /*           flux(2)=fn*nn(1)+ft*nn(2) */
2497c4762a1bSJed Brown /*           flux(3)=fn*tg(1)+ft*tg(2) */
2498a795f3e7SBarry Smith     flux[1] = fn * nn[0] + ft * tg[0];
2499a795f3e7SBarry Smith     flux[2] = fn * nn[1] + ft * tg[1];
2500c4762a1bSJed Brown /*           flux(2)=rhom*unm*(unm)+pm */
2501c4762a1bSJed Brown /*           flux(3)=rhom*(unm)*utm */
2502c4762a1bSJed Brown     if (*ndim == 3) {
2503a795f3e7SBarry Smith         flux[3] = rhom * unm * ubm;
2504c4762a1bSJed Brown     }
2505a795f3e7SBarry Smith     flux[*ndim + 1] = (rhom * .5 * (unm * unm + utm * utm + ubm * ubm) + gamm / (gamm - 1.) * pm) * unm;
2506c4762a1bSJed Brown     return iwave;
2507c4762a1bSJed Brown } /* godunovflux_ */
2508c4762a1bSJed Brown 
2509c4762a1bSJed Brown /* Subroutine to set up the initial conditions for the */
2510c4762a1bSJed Brown /* Shock Interface interaction or linear wave (Ravi Samtaney,Mark Adams). */
2511c4762a1bSJed Brown /* ----------------------------------------------------------------------- */
2512c4762a1bSJed Brown int projecteqstate(PetscReal wc[], const PetscReal ueq[], PetscReal lv[][3])
2513c4762a1bSJed Brown {
2514c4762a1bSJed Brown   int j,k;
2515c4762a1bSJed Brown /*      Wc=matmul(lv,Ueq) 3 vars */
2516c4762a1bSJed Brown   for (k = 0; k < 3; ++k) {
2517c4762a1bSJed Brown     wc[k] = 0.;
2518c4762a1bSJed Brown     for (j = 0; j < 3; ++j) {
2519c4762a1bSJed Brown       wc[k] += lv[k][j]*ueq[j];
2520c4762a1bSJed Brown     }
2521c4762a1bSJed Brown   }
2522c4762a1bSJed Brown   return 0;
2523c4762a1bSJed Brown }
2524c4762a1bSJed Brown /* ----------------------------------------------------------------------- */
2525c4762a1bSJed Brown int projecttoprim(PetscReal v[], const PetscReal wc[], PetscReal rv[][3])
2526c4762a1bSJed Brown {
2527c4762a1bSJed Brown   int k,j;
2528c4762a1bSJed Brown   /*      V=matmul(rv,WC) 3 vars */
2529c4762a1bSJed Brown   for (k = 0; k < 3; ++k) {
2530c4762a1bSJed Brown     v[k] = 0.;
2531c4762a1bSJed Brown     for (j = 0; j < 3; ++j) {
2532c4762a1bSJed Brown       v[k] += rv[k][j]*wc[j];
2533c4762a1bSJed Brown     }
2534c4762a1bSJed Brown   }
2535c4762a1bSJed Brown   return 0;
2536c4762a1bSJed Brown }
2537c4762a1bSJed Brown /* ---------------------------------------------------------------------- */
2538c4762a1bSJed Brown int eigenvectors(PetscReal rv[][3], PetscReal lv[][3], const PetscReal ueq[], PetscReal gamma)
2539c4762a1bSJed Brown {
2540c4762a1bSJed Brown   int j,k;
2541c4762a1bSJed Brown   PetscReal rho,csnd,p0;
2542c4762a1bSJed Brown   /* PetscScalar u; */
2543c4762a1bSJed Brown 
2544c4762a1bSJed Brown   for (k = 0; k < 3; ++k) for (j = 0; j < 3; ++j) { lv[k][j] = 0.; rv[k][j] = 0.; }
2545c4762a1bSJed Brown   rho = ueq[0];
2546c4762a1bSJed Brown   /* u = ueq[1]; */
2547c4762a1bSJed Brown   p0 = ueq[2];
2548c4762a1bSJed Brown   csnd = PetscSqrtReal(gamma * p0 / rho);
2549c4762a1bSJed Brown   lv[0][1] = rho * .5;
2550c4762a1bSJed Brown   lv[0][2] = -.5 / csnd;
2551c4762a1bSJed Brown   lv[1][0] = csnd;
2552c4762a1bSJed Brown   lv[1][2] = -1. / csnd;
2553c4762a1bSJed Brown   lv[2][1] = rho * .5;
2554c4762a1bSJed Brown   lv[2][2] = .5 / csnd;
2555c4762a1bSJed Brown   rv[0][0] = -1. / csnd;
2556c4762a1bSJed Brown   rv[1][0] = 1. / rho;
2557c4762a1bSJed Brown   rv[2][0] = -csnd;
2558c4762a1bSJed Brown   rv[0][1] = 1. / csnd;
2559c4762a1bSJed Brown   rv[0][2] = 1. / csnd;
2560c4762a1bSJed Brown   rv[1][2] = 1. / rho;
2561c4762a1bSJed Brown   rv[2][2] = csnd;
2562c4762a1bSJed Brown   return 0;
2563c4762a1bSJed Brown }
2564c4762a1bSJed Brown 
2565c4762a1bSJed Brown int initLinearWave(EulerNode *ux, const PetscReal gamma, const PetscReal coord[], const PetscReal Lx)
2566c4762a1bSJed Brown {
2567c4762a1bSJed Brown   PetscReal p0,u0,wcp[3],wc[3];
2568c4762a1bSJed Brown   PetscReal lv[3][3];
2569c4762a1bSJed Brown   PetscReal vp[3];
2570c4762a1bSJed Brown   PetscReal rv[3][3];
2571c4762a1bSJed Brown   PetscReal eps, ueq[3], rho0, twopi;
2572c4762a1bSJed Brown 
2573c4762a1bSJed Brown   /* Function Body */
2574c4762a1bSJed Brown   twopi = 2.*PETSC_PI;
2575c4762a1bSJed Brown   eps = 1e-4; /* perturbation */
2576c4762a1bSJed Brown   rho0 = 1e3;   /* density of water */
2577c4762a1bSJed Brown   p0 = 101325.; /* init pressure of 1 atm (?) */
2578c4762a1bSJed Brown   u0 = 0.;
2579c4762a1bSJed Brown   ueq[0] = rho0;
2580c4762a1bSJed Brown   ueq[1] = u0;
2581c4762a1bSJed Brown   ueq[2] = p0;
2582c4762a1bSJed Brown   /* Project initial state to characteristic variables */
2583c4762a1bSJed Brown   eigenvectors(rv, lv, ueq, gamma);
2584c4762a1bSJed Brown   projecteqstate(wc, ueq, lv);
2585c4762a1bSJed Brown   wcp[0] = wc[0];
2586c4762a1bSJed Brown   wcp[1] = wc[1];
2587c4762a1bSJed Brown   wcp[2] = wc[2] + eps * PetscCosReal(coord[0] * 2. * twopi / Lx);
2588c4762a1bSJed Brown   projecttoprim(vp, wcp, rv);
2589c4762a1bSJed Brown   ux->r = vp[0]; /* density */
2590c4762a1bSJed Brown   ux->ru[0] = vp[0] * vp[1]; /* x momentum */
2591c4762a1bSJed Brown   ux->ru[1] = 0.;
2592c4762a1bSJed Brown #if defined DIM > 2
2593c4762a1bSJed Brown   if (dim>2) ux->ru[2] = 0.;
2594c4762a1bSJed Brown #endif
2595c4762a1bSJed Brown   /* E = rho * e + rho * v^2/2 = p/(gam-1) + rho*v^2/2 */
2596c4762a1bSJed Brown   ux->E = vp[2]/(gamma - 1.) + 0.5*vp[0]*vp[1]*vp[1];
2597c4762a1bSJed Brown   return 0;
2598c4762a1bSJed Brown }
2599c4762a1bSJed Brown 
2600c4762a1bSJed Brown /*TEST
2601c4762a1bSJed Brown 
2602c4762a1bSJed Brown   # 2D Advection 0-10
2603c4762a1bSJed Brown   test:
2604c4762a1bSJed Brown     suffix: 0
2605c4762a1bSJed Brown     requires: exodusii
2606c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2607c4762a1bSJed Brown 
2608c4762a1bSJed Brown   test:
2609c4762a1bSJed Brown     suffix: 1
2610c4762a1bSJed Brown     requires: exodusii
2611c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2612c4762a1bSJed Brown 
2613c4762a1bSJed Brown   test:
2614c4762a1bSJed Brown     suffix: 2
2615c4762a1bSJed Brown     requires: exodusii
2616c4762a1bSJed Brown     nsize: 2
2617c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2618c4762a1bSJed Brown 
2619c4762a1bSJed Brown   test:
2620c4762a1bSJed Brown     suffix: 3
2621c4762a1bSJed Brown     requires: exodusii
2622c4762a1bSJed Brown     nsize: 2
2623c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo
2624c4762a1bSJed Brown 
2625c4762a1bSJed Brown   test:
2626c4762a1bSJed Brown     suffix: 4
2627c4762a1bSJed Brown     requires: exodusii
2628c4762a1bSJed Brown     nsize: 8
2629c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2630c4762a1bSJed Brown 
2631c4762a1bSJed Brown   test:
2632c4762a1bSJed Brown     suffix: 5
2633c4762a1bSJed Brown     requires: exodusii
2634c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw -ts_adapt_reject_safety 1
2635c4762a1bSJed Brown 
2636c4762a1bSJed Brown   test:
2637c4762a1bSJed Brown     suffix: 6
2638c4762a1bSJed Brown     requires: exodusii
2639c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/squaremotor-30.exo -ufv_split_faces
2640c4762a1bSJed Brown 
2641c4762a1bSJed Brown   test:
2642c4762a1bSJed Brown     suffix: 7
2643c4762a1bSJed Brown     requires: exodusii
2644c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2645c4762a1bSJed Brown 
2646c4762a1bSJed Brown   test:
2647c4762a1bSJed Brown     suffix: 8
2648c4762a1bSJed Brown     requires: exodusii
2649c4762a1bSJed Brown     nsize: 2
2650c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2651c4762a1bSJed Brown 
2652c4762a1bSJed Brown   test:
2653c4762a1bSJed Brown     suffix: 9
2654c4762a1bSJed Brown     requires: exodusii
2655c4762a1bSJed Brown     nsize: 8
2656c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad-15.exo -dm_refine 1
2657c4762a1bSJed Brown 
2658c4762a1bSJed Brown   test:
2659c4762a1bSJed Brown     suffix: 10
2660c4762a1bSJed Brown     requires: exodusii
2661c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside-quad.exo
2662c4762a1bSJed Brown 
2663c4762a1bSJed Brown   # 2D Shallow water
2664c4762a1bSJed Brown   test:
2665c4762a1bSJed Brown     suffix: sw_0
2666c4762a1bSJed Brown     requires: exodusii
2667c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -bc_wall 100,101 -physics sw -ufv_cfl 5 -petscfv_type leastsquares -petsclimiter_type sin -ts_max_time 1 -ts_ssp_type rks2 -ts_ssp_nstages 10 -monitor height,energy
2668c4762a1bSJed Brown 
26698d2c18caSMukkund Sunjii   test:
26708d2c18caSMukkund Sunjii     suffix: sw_hll
26718d2c18caSMukkund Sunjii     args: -ufv_vtk_interval 0 -bc_wall 1,2,3,4 -physics sw -ufv_cfl 3 -petscfv_type leastsquares -petsclimiter_type sin -ts_max_steps 5 -ts_ssp_type rks2 -ts_ssp_nstages 10 -monitor height,energy -grid_bounds 0,5,0,5 -grid_size 25,25 -sw_riemann hll
26728d2c18caSMukkund Sunjii 
2673c4762a1bSJed Brown   # 2D Advection: p4est
2674c4762a1bSJed Brown   test:
2675c4762a1bSJed Brown     suffix: p4est_advec_2d
2676c4762a1bSJed Brown     requires: p4est
2677c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f -dm_type p4est -dm_forest_minimum_refinement 1 -dm_forest_initial_refinement 2 -dm_p4est_refine_pattern hash -dm_forest_maximum_refinement 5
2678c4762a1bSJed Brown 
2679c4762a1bSJed Brown   # Advection in a box
2680c4762a1bSJed Brown   test:
2681c4762a1bSJed Brown     suffix: adv_2d_quad_0
2682c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2683c4762a1bSJed Brown 
2684c4762a1bSJed Brown   test:
2685c4762a1bSJed Brown     suffix: adv_2d_quad_1
2686c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2687c4762a1bSJed Brown     timeoutfactor: 3
2688c4762a1bSJed Brown 
2689c4762a1bSJed Brown   test:
2690c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_0
2691c4762a1bSJed Brown     requires: p4est
2692c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2693c4762a1bSJed Brown 
2694c4762a1bSJed Brown   test:
2695c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_1
2696c4762a1bSJed Brown     requires: p4est
2697c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 5 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2698c4762a1bSJed Brown     timeoutfactor: 3
2699c4762a1bSJed Brown 
2700c4762a1bSJed Brown   test:
2701c4762a1bSJed Brown     suffix: adv_2d_quad_p4est_adapt_0
2702c4762a1bSJed Brown     requires: p4est !__float128 #broken for quad precision
2703c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -dm_refine 3 -dm_type p4est -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1 -ufv_use_amr -refine_vec_tagger_box 0.005,inf -coarsen_vec_tagger_box 0,1.e-5 -petscfv_type leastsquares -ts_max_time 0.01
2704c4762a1bSJed Brown     timeoutfactor: 3
2705c4762a1bSJed Brown 
2706c4762a1bSJed Brown   test:
2707c4762a1bSJed Brown     suffix: adv_2d_tri_0
2708c4762a1bSJed Brown     requires: triangle
27099dddd249SSatish Balay     TODO: how did this ever get in main when there is no support for this
2710c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -simplex -dm_refine 3 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2711c4762a1bSJed Brown 
2712c4762a1bSJed Brown   test:
2713c4762a1bSJed Brown     suffix: adv_2d_tri_1
2714c4762a1bSJed Brown     requires: triangle
27159dddd249SSatish Balay     TODO: how did this ever get in main when there is no support for this
2716c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -simplex -dm_refine 5 -dm_plex_separate_marker -grid_bounds -0.5,0.5,-0.5,0.5 -bc_inflow 1,2,4 -bc_outflow 3 -advect_sol_type bump -advect_bump_center 0.25,0 -advect_bump_radius 0.1
2717c4762a1bSJed Brown 
2718c4762a1bSJed Brown   test:
2719c4762a1bSJed Brown     suffix: adv_0
2720c4762a1bSJed Brown     requires: exodusii
2721c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/blockcylinder-50.exo -bc_inflow 100,101,200 -bc_outflow 201
2722c4762a1bSJed Brown 
2723c4762a1bSJed Brown   test:
2724c4762a1bSJed Brown     suffix: shock_0
2725c4762a1bSJed Brown     requires: p4est !single !complex
2726c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -monitor density,energy -f -grid_size 2,1 -grid_bounds -1,1.,0.,1 -bc_wall 1,2,3,4 -dm_type p4est -dm_forest_partition_overlap 1 -dm_forest_maximum_refinement 6 -dm_forest_minimum_refinement 2 -dm_forest_initial_refinement 2 -ufv_use_amr -refine_vec_tagger_box 0.5,inf -coarsen_vec_tagger_box 0,1.e-2 -refine_tag_view -coarsen_tag_view -physics euler -eu_type iv_shock -ufv_cfl 10 -eu_alpha 60. -grid_skew_60 -eu_gamma 1.4 -eu_amach 2.02 -eu_rho2 3. -petscfv_type leastsquares -petsclimiter_type minmod -petscfv_compute_gradients 0 -ts_max_time 0.5 -ts_ssp_type rks2 -ts_ssp_nstages 10 -ufv_vtk_basename ${wPETSC_DIR}/ex11
2727c4762a1bSJed Brown     timeoutfactor: 3
2728c4762a1bSJed Brown 
2729c4762a1bSJed Brown   # Test GLVis visualization of PetscFV fields
2730c4762a1bSJed Brown   test:
2731c4762a1bSJed Brown     suffix: glvis_adv_2d_tet
2732c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -ts_monitor_solution glvis: -ts_max_steps 0 -ufv_vtk_monitor 0 -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/square_periodic.msh -dm_plex_gmsh_periodic 0
2733c4762a1bSJed Brown 
2734c4762a1bSJed Brown   test:
2735c4762a1bSJed Brown     suffix: glvis_adv_2d_quad
2736c4762a1bSJed Brown     args: -ufv_vtk_interval 0 -ts_monitor_solution glvis: -ts_max_steps 0 -ufv_vtk_monitor 0 -dm_refine 5 -dm_plex_separate_marker -bc_inflow 1,2,4 -bc_outflow 3
2737c4762a1bSJed Brown 
2738c4762a1bSJed Brown   test:
2739c4762a1bSJed Brown     suffix: tut_1
2740c4762a1bSJed Brown     requires: exodusii
2741c4762a1bSJed Brown     nsize: 1
2742c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo
2743c4762a1bSJed Brown 
2744c4762a1bSJed Brown   test:
2745c4762a1bSJed Brown     suffix: tut_2
2746c4762a1bSJed Brown     requires: exodusii
2747c4762a1bSJed Brown     nsize: 1
2748c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/sevenside.exo -ts_type rosw
2749c4762a1bSJed Brown 
2750c4762a1bSJed Brown   test:
2751c4762a1bSJed Brown     suffix: tut_3
2752c4762a1bSJed Brown     requires: exodusii
2753c4762a1bSJed Brown     nsize: 4
2754c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -monitor Error -advect_sol_type bump -petscfv_type leastsquares -petsclimiter_type sin
2755c4762a1bSJed Brown 
2756c4762a1bSJed Brown   test:
2757c4762a1bSJed Brown     suffix: tut_4
2758c4762a1bSJed Brown     requires: exodusii
2759c4762a1bSJed Brown     nsize: 4
2760c4762a1bSJed Brown     args: -f ${wPETSC_DIR}/share/petsc/datafiles/meshes/annulus-20.exo -physics sw -monitor Height,Energy -petscfv_type leastsquares -petsclimiter_type minmod
2761c4762a1bSJed Brown 
2762c4762a1bSJed Brown TEST*/
2763