static char help[] = "Runaway electron model with Landau collision operator\n\n"; #include #include #include #include #include #include #if defined(PETSC_HAVE_CUDA_NVTX) #if PETSC_PKG_CUDA_VERSION_GE(10, 0, 0) #include #else #include #endif #endif /* data for runaway electron model */ typedef struct REctx_struct { PetscErrorCode (*test)(TS, Vec, PetscInt, PetscReal, PetscBool, LandauCtx *, struct REctx_struct *); PetscErrorCode (*impuritySrcRate)(PetscReal, PetscReal *, LandauCtx *); PetscErrorCode (*E)(Vec, Vec, PetscInt, PetscReal, LandauCtx *, PetscReal *); PetscReal T_cold; /* temperature of newly ionized electrons and impurity ions */ PetscReal ion_potential; /* ionization potential of impurity */ PetscReal Ne_ion; /* effective number of electrons shed in ioization of impurity */ PetscReal Ez_initial; PetscReal L; /* inductance */ Vec X_0; PetscInt imp_idx; /* index for impurity ionizing sink */ PetscReal pulse_start; PetscReal pulse_width; PetscReal pulse_rate; PetscReal current_rate; PetscInt plotIdx; PetscInt plotStep; PetscInt idx; /* cache */ PetscReal j; /* cache */ PetscReal plotDt; PetscBool plotting; PetscBool use_spitzer_eta; PetscInt print_period; PetscInt grid_view_idx; } REctx; static const PetscReal kev_joul = 6.241506479963235e+15; /* 1/1000e */ #define RE_CUT 3. /* < v, u_re * v * q > */ static void f0_j_re(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { PetscReal n_e = PetscRealPart(u[0]); if (dim == 2) { if (x[1] > RE_CUT || x[1] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */ *f0 = n_e * 2. * PETSC_PI * x[0] * x[1] * constants[0]; /* n * r * v_|| * q */ } else { *f0 = 0; } } else { if (x[2] > RE_CUT || x[2] < -RE_CUT) { /* simply a cutoff for REs. v_|| > 3 v(T_e) */ *f0 = n_e * x[2] * constants[0]; } else { *f0 = 0; } } } /* sum < v, u*v*q > */ static void f0_jz_sum(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar q[], PetscScalar *f0) { PetscInt ii; f0[0] = 0; if (dim == 2) { for (ii = 0; ii < Nf; ii++) f0[0] += u[ii] * 2. * PETSC_PI * x[0] * x[1] * q[ii]; /* n * r * v_|| * q * v_0 */ } else { for (ii = 0; ii < Nf; ii++) f0[0] += u[ii] * x[2] * q[ii]; /* n * v_|| * q * v_0 */ } } /* < v, n_e > */ static void f0_n(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { PetscInt ii = (PetscInt)PetscRealPart(constants[0]); if (dim == 2) f0[0] = 2. * PETSC_PI * x[0] * u[ii]; else f0[0] = u[ii]; } /* < v, n_e v_|| > */ static void f0_vz(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { PetscInt ii = (PetscInt)PetscRealPart(constants[0]); if (dim == 2) f0[0] = u[ii] * 2. * PETSC_PI * x[0] * x[1]; /* n r v_|| */ else f0[0] = u[ii] * x[2]; /* n v_|| */ } /* < v, n_e (v-shift) > */ static void f0_ve_shift(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { PetscReal vz = numConstants > 0 ? PetscRealPart(constants[0]) : 0; if (dim == 2) *f0 = u[0] * 2. * PETSC_PI * x[0] * PetscSqrtReal(x[0] * x[0] + (x[1] - vz) * (x[1] - vz)); /* n r v */ else { *f0 = u[0] * PetscSqrtReal(x[0] * x[0] + x[1] * x[1] + (x[2] - vz) * (x[2] - vz)); /* n v */ } } /* CalculateE - Calculate the electric field */ /* T -- Electron temperature */ /* n -- Electron density */ /* lnLambda -- */ /* eps0 -- */ /* E -- output E, input \hat E */ static PetscReal CalculateE(PetscReal Tev, PetscReal n, PetscReal lnLambda, PetscReal eps0, PetscReal *E) { PetscReal c, e, m; PetscFunctionBegin; c = 299792458.0; e = 1.602176e-19; m = 9.10938e-31; if (1) { double Ec, Ehat = *E, betath = PetscSqrtReal(2 * Tev * e / (m * c * c)), j0 = Ehat * 7 / (PetscSqrtReal(2) * 2) * PetscPowReal(betath, 3) * n * e * c; Ec = n * lnLambda * PetscPowReal(e, 3) / (4 * PETSC_PI * PetscPowReal(eps0, 2) * m * c * c); *E = Ec; PetscCall(PetscPrintf(PETSC_COMM_WORLD, "CalculateE j0=%g Ec = %g\n", j0, Ec)); } else { PetscReal Ed, vth; vth = PetscSqrtReal(8 * Tev * e / (m * PETSC_PI)); Ed = n * lnLambda * PetscPowReal(e, 3) / (4 * PETSC_PI * PetscPowReal(eps0, 2) * m * vth * vth); *E = Ed; } PetscFunctionReturn(PETSC_SUCCESS); } static PetscReal Spitzer(PetscReal m_e, PetscReal e, PetscReal Z, PetscReal epsilon0, PetscReal lnLam, PetscReal kTe_joules) { PetscReal Fz = (1 + 1.198 * Z + 0.222 * Z * Z) / (1 + 2.966 * Z + 0.753 * Z * Z), eta; eta = Fz * 4. / 3. * PetscSqrtReal(2. * PETSC_PI) * Z * PetscSqrtReal(m_e) * PetscSqr(e) * lnLam * PetscPowReal(4 * PETSC_PI * epsilon0, -2.) * PetscPowReal(kTe_joules, -1.5); return eta; } static PetscErrorCode testNone(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx) { PetscFunctionBeginUser; PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode testSpitzer(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx) { PetscInt ii, nDMs; PetscDS prob; static PetscReal old_ratio = 1e10; TSConvergedReason reason; PetscReal J, J_re, spit_eta, Te_kev = 0, E, ratio, Z, n_e, v, v2; PetscScalar user[2] = {0., ctx->charges[0]}, q[LANDAU_MAX_SPECIES], tt[LANDAU_MAX_SPECIES], vz; PetscReal dt; DM pack, plexe = ctx->plex[0], plexi = (ctx->num_grids == 1) ? NULL : ctx->plex[1]; Vec *XsubArray; PetscFunctionBeginUser; PetscCheck(ctx->num_species == 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "ctx->num_species %" PetscInt_FMT " != 2", ctx->num_species); PetscCall(VecGetDM(X, &pack)); PetscCheck(pack, PETSC_COMM_SELF, PETSC_ERR_PLIB, "no DM"); PetscCall(DMCompositeGetNumberDM(pack, &nDMs)); PetscCheck(nDMs == ctx->num_grids * ctx->batch_sz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "nDMs != ctx->num_grids*ctx->batch_sz %" PetscInt_FMT " != %" PetscInt_FMT, nDMs, ctx->num_grids * ctx->batch_sz); PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray)); PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only PetscCall(TSGetTimeStep(ts, &dt)); /* get current for each grid */ for (ii = 0; ii < ctx->num_species; ii++) q[ii] = ctx->charges[ii]; PetscCall(DMGetDS(plexe, &prob)); PetscCall(PetscDSSetConstants(prob, 2, &q[0])); PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum)); PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL)); J = -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]); if (plexi) { // add first (only) ion PetscCall(DMGetDS(plexi, &prob)); PetscCall(PetscDSSetConstants(prob, 1, &q[1])); PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum)); PetscCall(DMPlexComputeIntegralFEM(plexi, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 1)], tt, NULL)); J += -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]); } /* get N_e */ PetscCall(DMGetDS(plexe, &prob)); PetscCall(PetscDSSetConstants(prob, 1, user)); PetscCall(PetscDSSetObjective(prob, 0, &f0_n)); PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL)); n_e = PetscRealPart(tt[0]) * ctx->n_0; /* Z */ Z = -ctx->charges[1] / ctx->charges[0]; /* remove drift */ if (0) { user[0] = 0; // electrons PetscCall(DMGetDS(plexe, &prob)); PetscCall(PetscDSSetConstants(prob, 1, user)); PetscCall(PetscDSSetObjective(prob, 0, &f0_vz)); PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL)); vz = ctx->n_0 * PetscRealPart(tt[0]) / n_e; /* non-dimensional */ } else vz = 0; /* thermal velocity */ PetscCall(DMGetDS(plexe, &prob)); PetscCall(PetscDSSetConstants(prob, 1, &vz)); PetscCall(PetscDSSetObjective(prob, 0, &f0_ve_shift)); PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL)); v = ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]) / n_e; /* remove number density to get velocity */ v2 = PetscSqr(v); /* use real space: m^2 / s^2 */ Te_kev = (v2 * ctx->masses[0] * PETSC_PI / 8) * kev_joul; /* temperature in kev */ spit_eta = Spitzer(ctx->masses[0], -ctx->charges[0], Z, ctx->epsilon0, ctx->lambdas[0][1], Te_kev / kev_joul); /* kev --> J (kT) */ if (0) { PetscCall(DMGetDS(plexe, &prob)); PetscCall(PetscDSSetConstants(prob, 1, q)); PetscCall(PetscDSSetObjective(prob, 0, &f0_j_re)); PetscCall(DMPlexComputeIntegralFEM(plexe, XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, 0)], tt, NULL)); } else tt[0] = 0; J_re = -ctx->n_0 * ctx->v_0 * PetscRealPart(tt[0]); PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only PetscCall(PetscFree(XsubArray)); if (rectx->use_spitzer_eta) { E = ctx->Ez = spit_eta * (rectx->j - J_re); } else { E = ctx->Ez; /* keep real E */ rectx->j = J; /* cache */ } ratio = E / J / spit_eta; if (stepi > 10 && !rectx->use_spitzer_eta && (old_ratio - ratio < 1.e-6)) { rectx->pulse_start = time + 0.98 * dt; rectx->use_spitzer_eta = PETSC_TRUE; } PetscCall(TSGetConvergedReason(ts, &reason)); PetscCall(TSGetConvergedReason(ts, &reason)); if (rectx->plotting || stepi == 0 || reason || rectx->pulse_start == time + 0.98 * dt) { PetscCall(PetscPrintf(ctx->comm, "testSpitzer: %4" PetscInt_FMT ") time=%11.4e n_e= %10.3e E= %10.3e J= %10.3e J_re= %10.3e %.3g%% Te_kev= %10.3e Z_eff=%g E/J to eta ratio= %g (diff=%g) %s %s spit_eta=%g\n", stepi, (double)time, (double)(n_e / ctx->n_0), (double)ctx->Ez, (double)J, (double)J_re, (double)(100 * J_re / J), (double)Te_kev, (double)Z, (double)ratio, (double)(old_ratio - ratio), rectx->use_spitzer_eta ? "using Spitzer eta*J E" : "constant E", rectx->pulse_start != time + 0.98 * dt ? "normal" : "transition", (double)spit_eta)); PetscCheck(rectx->pulse_start != (time + 0.98 * dt), PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "Spitzer complete ratio=%g", (double)ratio); } old_ratio = ratio; PetscFunctionReturn(PETSC_SUCCESS); } static const double ppp = 2; static void f0_0_diff_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { LandauCtx *ctx = (LandauCtx *)constants; REctx *rectx = (REctx *)ctx->data; PetscInt ii = rectx->idx, i; const PetscReal kT_m = ctx->k * ctx->thermal_temps[ii] / ctx->masses[ii]; /* kT/m */ const PetscReal n = ctx->n[ii]; PetscReal diff, f_maxwell, v2 = 0, theta = 2 * kT_m / (ctx->v_0 * ctx->v_0); /* theta = 2kT/mc^2 */ for (i = 0; i < dim; ++i) v2 += x[i] * x[i]; f_maxwell = n * PetscPowReal(PETSC_PI * theta, -1.5) * (PetscExpReal(-v2 / theta)); diff = 2. * PETSC_PI * x[0] * (PetscRealPart(u[ii]) - f_maxwell); f0[0] = PetscPowReal(diff, ppp); } static void f0_0_maxwellian_lp(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar *f0) { LandauCtx *ctx = (LandauCtx *)constants; REctx *rectx = (REctx *)ctx->data; PetscInt ii = rectx->idx, i; const PetscReal kT_m = ctx->k * ctx->thermal_temps[ii] / ctx->masses[ii]; /* kT/m */ const PetscReal n = ctx->n[ii]; PetscReal f_maxwell, v2 = 0, theta = 2 * kT_m / (ctx->v_0 * ctx->v_0); /* theta = 2kT/mc^2 */ for (i = 0; i < dim; ++i) v2 += x[i] * x[i]; f_maxwell = 2. * PETSC_PI * x[0] * n * PetscPowReal(PETSC_PI * theta, -1.5) * (PetscExpReal(-v2 / theta)); f0[0] = PetscPowReal(f_maxwell, ppp); } static PetscErrorCode testStable(TS ts, Vec X, PetscInt stepi, PetscReal time, PetscBool islast, LandauCtx *ctx, REctx *rectx) { PetscDS prob; Vec X2; PetscReal ediff, idiff = 0, lpm0, lpm1 = 1; PetscScalar tt[LANDAU_MAX_SPECIES]; DM dm, plex = ctx->plex[0]; PetscFunctionBeginUser; PetscCall(VecGetDM(X, &dm)); PetscCall(DMGetDS(plex, &prob)); PetscCall(VecDuplicate(X, &X2)); PetscCall(VecCopy(X, X2)); if (!rectx->X_0) { PetscCall(VecDuplicate(X, &rectx->X_0)); PetscCall(VecCopy(X, rectx->X_0)); } PetscCall(VecAXPY(X, -1.0, rectx->X_0)); PetscCall(PetscDSSetConstants(prob, sizeof(LandauCtx) / sizeof(PetscScalar), (PetscScalar *)ctx)); rectx->idx = 0; PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp)); PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL)); ediff = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp); PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp)); PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL)); lpm0 = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp); if (ctx->num_species > 1) { rectx->idx = 1; PetscCall(PetscDSSetObjective(prob, 0, &f0_0_diff_lp)); PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL)); idiff = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp); PetscCall(PetscDSSetObjective(prob, 0, &f0_0_maxwellian_lp)); PetscCall(DMPlexComputeIntegralFEM(plex, X2, tt, NULL)); lpm1 = PetscPowReal(PetscRealPart(tt[0]), 1. / ppp); } PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%s %" PetscInt_FMT ") time=%10.3e n-%d norm electrons/max=%20.13e ions/max=%20.13e\n", "----", stepi, (double)time, (int)ppp, (double)(ediff / lpm0), (double)(idiff / lpm1))); /* view */ PetscCall(VecCopy(X2, X)); PetscCall(VecDestroy(&X2)); if (islast) { PetscCall(VecDestroy(&rectx->X_0)); rectx->X_0 = NULL; } PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode EInduction(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E) { REctx *rectx = (REctx *)ctx->data; PetscInt ii; DM dm, plex; PetscScalar tt[LANDAU_MAX_SPECIES], qv0[LANDAU_MAX_SPECIES]; PetscReal dJ_dt; PetscDS prob; PetscFunctionBeginUser; for (ii = 0; ii < ctx->num_species; ii++) qv0[ii] = ctx->charges[ii] * ctx->v_0; PetscCall(VecGetDM(X, &dm)); PetscCall(DMGetDS(dm, &prob)); PetscCall(DMConvert(dm, DMPLEX, &plex)); /* get d current / dt */ PetscCall(PetscDSSetConstants(prob, ctx->num_species, qv0)); PetscCall(PetscDSSetObjective(prob, 0, &f0_jz_sum)); PetscCheck(X_t, PETSC_COMM_SELF, PETSC_ERR_PLIB, "X_t"); PetscCall(DMPlexComputeIntegralFEM(plex, X_t, tt, NULL)); dJ_dt = -ctx->n_0 * PetscRealPart(tt[0]) / ctx->t_0; /* E induction */ *a_E = -rectx->L * dJ_dt + rectx->Ez_initial; PetscCall(DMDestroy(&plex)); PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode EConstant(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E) { PetscFunctionBeginUser; *a_E = ctx->Ez; PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode ENone(Vec X, Vec X_t, PetscInt step, PetscReal time, LandauCtx *ctx, PetscReal *a_E) { PetscFunctionBeginUser; *a_E = 0; PetscFunctionReturn(PETSC_SUCCESS); } /* ------------------------------------------------------------------- */ /* FormSource - Evaluates source terms F(t). Input Parameters: . ts - the TS context . time - . X_dummmy - input vector . dummy - optional user-defined context, as set by SNESSetFunction() Output Parameter: . F - function vector */ static PetscErrorCode FormSource(TS ts, PetscReal ftime, Vec X_dummmy, Vec F, void *dummy) { PetscReal new_imp_rate; LandauCtx *ctx; DM pack; REctx *rectx; PetscFunctionBeginUser; PetscCall(TSGetDM(ts, &pack)); PetscCall(DMGetApplicationContext(pack, &ctx)); rectx = (REctx *)ctx->data; /* check for impurities */ PetscCall(rectx->impuritySrcRate(ftime, &new_imp_rate, ctx)); if (new_imp_rate != 0) { if (new_imp_rate != rectx->current_rate) { PetscInt ii; PetscReal dne_dt, dni_dt, tilda_ns[LANDAU_MAX_SPECIES], temps[LANDAU_MAX_SPECIES]; Vec globFarray[LANDAU_MAX_GRIDS * LANDAU_MAX_BATCH_SZ]; rectx->current_rate = new_imp_rate; for (ii = 1; ii < LANDAU_MAX_SPECIES; ii++) tilda_ns[ii] = 0; for (ii = 1; ii < LANDAU_MAX_SPECIES; ii++) temps[ii] = 1; dni_dt = new_imp_rate /* *ctx->t_0 */; /* fully ionized immediately, no normalize, stay in non-dim */ dne_dt = new_imp_rate * rectx->Ne_ion /* *ctx->t_0 */; tilda_ns[0] = dne_dt; tilda_ns[rectx->imp_idx] = dni_dt; temps[0] = rectx->T_cold; temps[rectx->imp_idx] = rectx->T_cold; PetscCall(PetscInfo(ctx->plex[0], "\tHave new_imp_rate= %10.3e time= %10.3e de/dt= %10.3e di/dt= %10.3e ***\n", (double)new_imp_rate, (double)ftime, (double)dne_dt, (double)dni_dt)); PetscCall(DMCompositeGetAccessArray(pack, F, ctx->num_grids * ctx->batch_sz, NULL, globFarray)); for (PetscInt grid = 0; grid < ctx->num_grids; grid++) { /* add it */ PetscCall(DMPlexLandauAddMaxwellians(ctx->plex[grid], globFarray[LAND_PACK_IDX(0, grid)], ftime, temps, tilda_ns, grid, 0, 1, ctx)); } // Does DMCompositeRestoreAccessArray copy the data back? (no) PetscCall(DMCompositeRestoreAccessArray(pack, F, ctx->num_grids * ctx->batch_sz, NULL, globFarray)); } } else { PetscCall(VecZeroEntries(F)); rectx->current_rate = 0; } PetscFunctionReturn(PETSC_SUCCESS); } PetscErrorCode Monitor(TS ts, PetscInt stepi, PetscReal time, Vec X, void *actx) { LandauCtx *ctx = (LandauCtx *)actx; /* user-defined application context */ REctx *rectx = (REctx *)ctx->data; DM pack = NULL; Vec globXArray[LANDAU_MAX_GRIDS * LANDAU_MAX_BATCH_SZ]; TSConvergedReason reason; PetscFunctionBeginUser; PetscCall(TSGetConvergedReason(ts, &reason)); if (rectx->grid_view_idx != -1 || (reason && ctx->verbose > 3)) { PetscCall(VecGetDM(X, &pack)); PetscCall(DMCompositeGetAccessArray(pack, X, ctx->num_grids * ctx->batch_sz, NULL, globXArray)); } if (stepi > rectx->plotStep && rectx->plotting) { rectx->plotting = PETSC_FALSE; /* was doing diagnostics, now done */ rectx->plotIdx++; } /* view */ if (time / rectx->plotDt >= (PetscReal)rectx->plotIdx || reason) { if ((reason || stepi == 0 || rectx->plotIdx % rectx->print_period == 0) && ctx->verbose > 1) { /* print norms */ PetscCall(DMPlexLandauPrintNorms(X, stepi)); } if (!rectx->plotting) { /* first step of possible backtracks */ rectx->plotting = PETSC_TRUE; /* diagnostics + change E field with Sptizer (not just a monitor) */ PetscCall(rectx->test(ts, X, stepi, time, reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx)); } else { PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\t\t ERROR SKIP test spit ------\n")); rectx->plotting = PETSC_TRUE; } if (rectx->grid_view_idx != -1) { PetscCall(PetscObjectSetName((PetscObject)globXArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], rectx->grid_view_idx == 0 ? "ue" : "ui")); /* view, overwrite step when back tracked */ PetscCall(DMSetOutputSequenceNumber(ctx->plex[rectx->grid_view_idx], rectx->plotIdx, time * ctx->t_0)); PetscCall(VecViewFromOptions(globXArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view")); } rectx->plotStep = stepi; } else { if (rectx->plotting) PetscCall(PetscPrintf(PETSC_COMM_WORLD, " ERROR rectx->plotting=%s step %" PetscInt_FMT "\n", PetscBools[rectx->plotting], stepi)); /* diagnostics + change E field with Sptizer (not just a monitor) - can we lag this? */ PetscCall(rectx->test(ts, X, stepi, time, reason ? PETSC_TRUE : PETSC_FALSE, ctx, rectx)); } /* parallel check that only works of all batches are identical */ if (reason && ctx->verbose > 3 && ctx->batch_sz > 1) { PetscReal val, rval; PetscMPIInt rank; PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank)); for (PetscInt grid = 0; grid < ctx->num_grids; grid++) { PetscInt nerrors = 0; for (PetscInt i = 0; i < ctx->batch_sz; i++) { PetscCall(VecNorm(globXArray[LAND_PACK_IDX(i, grid)], NORM_2, &val)); if (i == 0) rval = val; else if ((val = PetscAbs(val - rval) / rval) > 1000 * PETSC_MACHINE_EPSILON) { PetscCall(PetscPrintf(PETSC_COMM_SELF, " [%d] Warning %" PetscInt_FMT ".%" PetscInt_FMT ") diff = %2.15e\n", rank, grid, i, (double)val)); nerrors++; } } if (nerrors) { PetscCall(PetscPrintf(PETSC_COMM_SELF, " ***** [%d] ERROR max %" PetscInt_FMT " errors\n", rank, nerrors)); } else { PetscCall(PetscPrintf(PETSC_COMM_WORLD, "[%d] %" PetscInt_FMT ") batch consistency check OK\n", rank, grid)); } } } rectx->idx = 0; if (rectx->grid_view_idx != -1 || (reason && ctx->verbose > 3)) PetscCall(DMCompositeRestoreAccessArray(pack, X, ctx->num_grids * ctx->batch_sz, NULL, globXArray)); PetscFunctionReturn(PETSC_SUCCESS); } PetscErrorCode PreStep(TS ts) { LandauCtx *ctx; REctx *rectx; DM dm; PetscInt stepi; PetscReal time; Vec X; PetscFunctionBeginUser; /* not used */ PetscCall(TSGetDM(ts, &dm)); PetscCall(TSGetTime(ts, &time)); PetscCall(TSGetSolution(ts, &X)); PetscCall(DMGetApplicationContext(dm, &ctx)); rectx = (REctx *)ctx->data; PetscCall(TSGetStepNumber(ts, &stepi)); /* update E */ PetscCall(rectx->E(X, NULL, stepi, time, ctx, &ctx->Ez)); PetscFunctionReturn(PETSC_SUCCESS); } /* model for source of non-ionized impurities, profile provided by model, in du/dt form in normalized units (tricky because n_0 is normalized with electrons) */ static PetscErrorCode stepSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx) { REctx *rectx = (REctx *)ctx->data; PetscFunctionBeginUser; if (time >= rectx->pulse_start) *rho = rectx->pulse_rate; else *rho = 0.; PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode zeroSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx) { PetscFunctionBeginUser; *rho = 0.; PetscFunctionReturn(PETSC_SUCCESS); } static PetscErrorCode pulseSrc(PetscReal time, PetscReal *rho, LandauCtx *ctx) { REctx *rectx = (REctx *)ctx->data; PetscFunctionBeginUser; PetscCheck(rectx->pulse_start != PETSC_MAX_REAL, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "'-ex2_pulse_start_time X' must be used with '-ex2_impurity_source_type pulse'"); if (time < rectx->pulse_start || time > rectx->pulse_start + 3 * rectx->pulse_width) *rho = 0; else { double x = PetscSinReal((time - rectx->pulse_start) / (3 * rectx->pulse_width) * 2 * PETSC_PI - PETSC_PI / 2) + 1; /* 0:2, integrates to 1.0 */ *rho = rectx->pulse_rate * x / (3 * rectx->pulse_width); if (!rectx->use_spitzer_eta) rectx->use_spitzer_eta = PETSC_TRUE; /* use it next time */ } PetscFunctionReturn(PETSC_SUCCESS); } #undef __FUNCT__ #define __FUNCT__ "ProcessREOptions" static PetscErrorCode ProcessREOptions(REctx *rectx, const LandauCtx *ctx, DM dm, const char prefix[]) { PetscFunctionList plist = NULL, testlist = NULL, elist = NULL; char pname[256], testname[256], ename[256]; DM dm_dummy; PetscBool Connor_E = PETSC_FALSE; PetscFunctionBeginUser; PetscCall(DMCreate(PETSC_COMM_WORLD, &dm_dummy)); rectx->Ne_ion = 1; /* number of electrons given up by impurity ion */ rectx->T_cold = .005; /* kev */ rectx->ion_potential = 15; /* ev */ rectx->L = 2; rectx->X_0 = NULL; rectx->imp_idx = ctx->num_species - 1; /* default ionized impurity as last one */ rectx->pulse_start = PETSC_MAX_REAL; rectx->pulse_width = 1; rectx->plotStep = PETSC_INT_MAX; rectx->pulse_rate = 1.e-1; rectx->current_rate = 0; rectx->plotIdx = 0; rectx->j = 0; rectx->plotDt = 1.0; rectx->plotting = PETSC_FALSE; rectx->use_spitzer_eta = PETSC_FALSE; rectx->idx = 0; rectx->print_period = 10; rectx->grid_view_idx = -1; // do not get if not needed /* Register the available impurity sources */ PetscCall(PetscFunctionListAdd(&plist, "step", &stepSrc)); PetscCall(PetscFunctionListAdd(&plist, "none", &zeroSrc)); PetscCall(PetscFunctionListAdd(&plist, "pulse", &pulseSrc)); PetscCall(PetscStrncpy(pname, "none", sizeof(pname))); PetscCall(PetscFunctionListAdd(&testlist, "none", &testNone)); PetscCall(PetscFunctionListAdd(&testlist, "spitzer", &testSpitzer)); PetscCall(PetscFunctionListAdd(&testlist, "stable", &testStable)); PetscCall(PetscStrncpy(testname, "none", sizeof(testname))); PetscCall(PetscFunctionListAdd(&elist, "none", &ENone)); PetscCall(PetscFunctionListAdd(&elist, "induction", &EInduction)); PetscCall(PetscFunctionListAdd(&elist, "constant", &EConstant)); PetscCall(PetscStrncpy(ename, "constant", sizeof(ename))); PetscOptionsBegin(PETSC_COMM_SELF, prefix, "Options for Runaway/seed electron model", "none"); PetscCall(PetscOptionsReal("-ex2_plot_dt", "Plotting interval", "ex2.c", rectx->plotDt, &rectx->plotDt, NULL)); if (rectx->plotDt < 0) rectx->plotDt = 1e30; if (rectx->plotDt == 0) rectx->plotDt = 1e-30; PetscCall(PetscOptionsInt("-ex2_print_period", "Plotting interval", "ex2.c", rectx->print_period, &rectx->print_period, NULL)); PetscCall(PetscOptionsInt("-ex2_grid_view_idx", "grid_view_idx", "ex2.c", rectx->grid_view_idx, &rectx->grid_view_idx, NULL)); PetscCheck(rectx->grid_view_idx < ctx->num_grids || rectx->grid_view_idx == -1, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "rectx->grid_view_idx (%" PetscInt_FMT ") >= ctx->num_grids (%" PetscInt_FMT ")", rectx->imp_idx, ctx->num_grids); PetscCall(PetscOptionsFList("-ex2_impurity_source_type", "Name of impurity source to run", "", plist, pname, pname, sizeof(pname), NULL)); PetscCall(PetscOptionsFList("-ex2_test_type", "Name of test to run", "", testlist, testname, testname, sizeof(testname), NULL)); PetscCall(PetscOptionsInt("-ex2_impurity_index", "index of sink for impurities", "none", rectx->imp_idx, &rectx->imp_idx, NULL)); PetscCheck((rectx->imp_idx < ctx->num_species && rectx->imp_idx >= 1) || ctx->num_species <= 1, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "index of sink for impurities ions is out of range (%" PetscInt_FMT "), must be > 0 && < NS", rectx->imp_idx); PetscCall(PetscOptionsFList("-ex2_e_field_type", "Electric field type", "", elist, ename, ename, sizeof(ename), NULL)); rectx->Ne_ion = -ctx->charges[rectx->imp_idx] / ctx->charges[0]; PetscCall(PetscOptionsReal("-ex2_t_cold", "Temperature of cold electron and ions after ionization in keV", "none", rectx->T_cold, &rectx->T_cold, NULL)); PetscCall(PetscOptionsReal("-ex2_pulse_start_time", "Time at which pulse happens for 'pulse' source", "none", rectx->pulse_start, &rectx->pulse_start, NULL)); PetscCall(PetscOptionsReal("-ex2_pulse_width_time", "Width of pulse 'pulse' source", "none", rectx->pulse_width, &rectx->pulse_width, NULL)); PetscCall(PetscOptionsReal("-ex2_pulse_rate", "Number density of pulse for 'pulse' source", "none", rectx->pulse_rate, &rectx->pulse_rate, NULL)); rectx->T_cold *= 1.16e7; /* convert to Kelvin */ PetscCall(PetscOptionsReal("-ex2_ion_potential", "Potential to ionize impurity (should be array) in ev", "none", rectx->ion_potential, &rectx->ion_potential, NULL)); PetscCall(PetscOptionsReal("-ex2_inductance", "Inductance E field", "none", rectx->L, &rectx->L, NULL)); PetscCall(PetscOptionsBool("-ex2_connor_e_field_units", "Scale Ex but Connor-Hastie E_c", "none", Connor_E, &Connor_E, NULL)); PetscCall(PetscInfo(dm_dummy, "Num electrons from ions=%g, T_cold=%10.3e, ion potential=%10.3e, E_z=%10.3e v_0=%10.3e\n", (double)rectx->Ne_ion, (double)rectx->T_cold, (double)rectx->ion_potential, (double)ctx->Ez, (double)ctx->v_0)); PetscOptionsEnd(); /* get impurity source rate function */ PetscCall(PetscFunctionListFind(plist, pname, &rectx->impuritySrcRate)); PetscCheck(rectx->impuritySrcRate, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No impurity source function found '%s'", pname); PetscCall(PetscFunctionListFind(testlist, testname, &rectx->test)); PetscCheck(rectx->test, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No test found '%s'", testname); PetscCall(PetscFunctionListFind(elist, ename, &rectx->E)); PetscCheck(rectx->E, PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONG, "No E field function found '%s'", ename); PetscCall(PetscFunctionListDestroy(&plist)); PetscCall(PetscFunctionListDestroy(&testlist)); PetscCall(PetscFunctionListDestroy(&elist)); /* convert E from Connor-Hastie E_c units to real if doing Spitzer E */ if (Connor_E) { PetscReal E = ctx->Ez, Tev = ctx->thermal_temps[0] * 8.621738e-5, n = ctx->n_0 * ctx->n[0]; CalculateE(Tev, n, ctx->lambdas[0][1], ctx->epsilon0, &E); ((LandauCtx *)ctx)->Ez *= E; } PetscCall(DMDestroy(&dm_dummy)); PetscFunctionReturn(PETSC_SUCCESS); } int main(int argc, char **argv) { DM pack; Vec X; PetscInt dim = 2, nDMs; TS ts; Mat J; PetscDS prob; LandauCtx *ctx; REctx *rectx; PetscMPIInt rank; PetscLogStage stage; PetscFunctionBeginUser; PetscCall(PetscInitialize(&argc, &argv, NULL, help)); PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank)); if (rank) { /* turn off output stuff for duplicate runs */ PetscCall(PetscOptionsClearValue(NULL, "-ex2_dm_view")); PetscCall(PetscOptionsClearValue(NULL, "-ex2_vec_view")); PetscCall(PetscOptionsClearValue(NULL, "-ex2_vec_view_init")); PetscCall(PetscOptionsClearValue(NULL, "-ex2_dm_view_init")); PetscCall(PetscOptionsClearValue(NULL, "-info")); /* this does not work */ } PetscCall(PetscOptionsGetInt(NULL, NULL, "-dim", &dim, NULL)); /* Create a mesh */ PetscCall(DMPlexLandauCreateVelocitySpace(PETSC_COMM_WORLD, dim, "", &X, &J, &pack)); PetscCall(DMCompositeGetNumberDM(pack, &nDMs)); PetscCall(PetscObjectSetName((PetscObject)J, "Jacobian")); PetscCall(PetscObjectSetName((PetscObject)X, "f")); PetscCall(DMGetApplicationContext(pack, &ctx)); PetscCall(DMSetUp(pack)); /* context */ PetscCall(PetscNew(&rectx)); ctx->data = rectx; PetscCall(ProcessREOptions(rectx, ctx, pack, "")); PetscCall(DMGetDS(pack, &prob)); if (rectx->grid_view_idx != -1) { Vec *XsubArray = NULL; PetscCall(PetscMalloc(sizeof(*XsubArray) * nDMs, &XsubArray)); PetscCall(DMCompositeGetAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only PetscCall(PetscObjectSetName((PetscObject)XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], rectx->grid_view_idx == 0 ? "ue" : "ui")); PetscCall(DMSetOutputSequenceNumber(ctx->plex[rectx->grid_view_idx], 0, 0.0)); PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx], NULL, "-ex2_dm_view")); PetscCall(DMViewFromOptions(ctx->plex[rectx->grid_view_idx], NULL, "-ex2_dm_view_init")); PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view")); // initial condition (monitor plots after step) PetscCall(VecViewFromOptions(XsubArray[LAND_PACK_IDX(ctx->batch_view_idx, rectx->grid_view_idx)], NULL, "-ex2_vec_view_init")); // initial condition (monitor plots after step) PetscCall(DMCompositeRestoreAccessArray(pack, X, nDMs, NULL, XsubArray)); // read only PetscCall(PetscFree(XsubArray)); } /* Create timestepping solver context */ PetscCall(TSCreate(PETSC_COMM_SELF, &ts)); PetscCall(TSSetDM(ts, pack)); PetscCall(TSSetIFunction(ts, NULL, DMPlexLandauIFunction, NULL)); PetscCall(TSSetIJacobian(ts, J, J, DMPlexLandauIJacobian, NULL)); PetscCall(TSSetRHSFunction(ts, NULL, FormSource, NULL)); PetscCall(TSSetFromOptions(ts)); PetscCall(TSSetSolution(ts, X)); PetscCall(TSSetApplicationContext(ts, ctx)); PetscCall(TSMonitorSet(ts, Monitor, ctx, NULL)); PetscCall(TSSetPreStep(ts, PreStep)); rectx->Ez_initial = ctx->Ez; /* cache for induction calculation - applied E field */ if (1) { /* warm up an test just DMPlexLandauIJacobian */ Vec vec; PetscInt nsteps; PetscReal dt; PetscCall(PetscLogStageRegister("Warmup", &stage)); PetscCall(PetscLogStagePush(stage)); PetscCall(VecDuplicate(X, &vec)); PetscCall(VecCopy(X, vec)); PetscCall(TSGetMaxSteps(ts, &nsteps)); PetscCall(TSGetTimeStep(ts, &dt)); PetscCall(TSSetMaxSteps(ts, 1)); PetscCall(TSSolve(ts, X)); PetscCall(TSSetMaxSteps(ts, nsteps)); PetscCall(TSSetStepNumber(ts, 0)); PetscCall(TSSetTime(ts, 0)); PetscCall(TSSetTimeStep(ts, dt)); rectx->plotIdx = 0; rectx->plotting = PETSC_FALSE; PetscCall(PetscLogStagePop()); PetscCall(VecCopy(vec, X)); PetscCall(VecDestroy(&vec)); PetscCall(PetscObjectStateIncrease((PetscObject)ctx->J)); } /* go */ PetscCall(PetscLogStageRegister("Solve", &stage)); ctx->stage = 0; // lets not use this stage PetscCall(PetscLogStagePush(stage)); #if defined(PETSC_HAVE_CUDA_NVTX) nvtxRangePushA("ex2-TSSolve-warm"); #endif PetscCall(TSSolve(ts, X)); #if defined(PETSC_HAVE_CUDA_NVTX) nvtxRangePop(); #endif PetscCall(PetscLogStagePop()); /* clean up */ PetscCall(DMPlexLandauDestroyVelocitySpace(&pack)); PetscCall(TSDestroy(&ts)); PetscCall(VecDestroy(&X)); PetscCall(PetscFree(rectx)); PetscCall(PetscFinalize()); return 0; } /*TEST testset: requires: p4est !complex double defined(PETSC_USE_DMLANDAU_2D) output_file: output/ex2_0.out args: -dm_landau_num_species_grid 1,1 -dm_landau_Ez 0 -petscspace_degree 3 -petscspace_poly_tensor 1 -dm_landau_type p4est -dm_landau_ion_masses 2 \ -dm_landau_ion_charges 1 -dm_landau_thermal_temps 5,5 -dm_landau_n 2,2 -dm_landau_n_0 5e19 -ts_monitor -snes_rtol 1.e-9 -snes_stol 1.e-14 -snes_monitor \ -snes_converged_reason -snes_max_it 10 -ts_type arkimex -ts_arkimex_type 1bee -ts_max_snes_failures unlimited -ts_rtol 1e-3 -ts_time_step 1.e-2 -ts_max_time 1 -ts_adapt_clip .5,1.25 -ts_max_steps 2 -ts_adapt_scale_solve_failed 0.75 -ts_adapt_time_step_increase_delay 5 -dm_landau_amr_levels_max 2,2 -dm_landau_amr_re_levels 2 -dm_landau_re_radius 0 -ex2_impurity_source_type pulse -ex2_pulse_start_time 1e-1 -ex2_pulse_width_time 10 -ex2_pulse_rate 1e-2 -ex2_t_cold .05 -ex2_plot_dt 1e-1 -dm_refine 0 -dm_landau_gpu_assembly true -dm_landau_batch_size 2 -dm_landau_verbose 2 -dm_landau_domain_radius 5.,5. test: suffix: cpu args: -dm_landau_device_type cpu -ksp_type bicg -pc_type jacobi test: suffix: kokkos requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type bicg -pc_type jacobi test: suffix: kokkos_batch requires: kokkos_kernels args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type preonly -pc_type bjkokkos -pc_bjkokkos_ksp_type bicg -pc_bjkokkos_pc_type jacobi test: suffix: kokkos_batch_tfqmr requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos -ksp_type preonly -pc_type bjkokkos -pc_bjkokkos_ksp_type tfqmr -pc_bjkokkos_pc_type jacobi test: requires: !complex double defined(PETSC_USE_DMLANDAU_2D) !cuda suffix: single nsize: 1 args: -dm_refine 2 -dm_landau_num_species_grid 1 -dm_landau_thermal_temps 1 -dm_landau_electron_shift 1.25 -petscspace_degree 3 -snes_converged_reason -ts_type beuler -ts_time_step .1\ -ex2_plot_dt .1 -ts_max_steps 1 -ex2_grid_view_idx 0 -ex2_dm_view -snes_rtol 1.e-13 -snes_stol 1.e-13 -dm_landau_verbose 2 -ex2_print_period 1 -ksp_type preonly -pc_type lu -dm_landau_device_type cpu -dm_landau_use_relativistic_corrections testset: requires: !complex double defined(PETSC_USE_DMLANDAU_2D) nsize: 1 output_file: output/ex2_simplex.out args: -dim 2 -dm_landau_num_species_grid 1,1 -petscspace_degree 2 -dm_landau_simplex -dm_landau_ion_masses 2 -dm_landau_ion_charges 1 -dm_landau_thermal_temps 2,1 -dm_landau_n 1,1 -snes_rtol 1e-15\ -snes_stol 1e-15 -snes_monitor -ts_type beuler -snes_converged_reason -ts_exact_final_time stepover -ts_time_step .1 -ts_max_steps 1 -ts_max_snes_failures unlimited -ksp_type preonly\ -pc_type lu -dm_landau_verbose 2 -ex2_grid_view_idx 0 -ex2_dm_view -dm_refine 1 -ksp_type bicg -pc_type jacobi test: suffix: simplex args: -dm_landau_device_type cpu test: suffix: simplexkokkos requires: kokkos_kernels !defined(PETSC_HAVE_CUDA_CLANG) !sycl args: -dm_landau_device_type kokkos -dm_mat_type aijkokkos -dm_vec_type kokkos test: requires: double !defined(PETSC_USE_DMLANDAU_2D) suffix: sphere_3d nsize: 1 args: -dim 3 -dm_landau_thermal_temps 2 -ts_type beuler -ts_time_step .1 -ts_max_steps 1 -dm_landau_verbose 2 -ksp_type preonly -pc_type lu -dm_landau_device_type cpu -snes_rtol 1.e-14 -snes_stol 1.e-14 -snes_converged_reason \ -dm_landau_sphere -dm_landau_domain_radius 6 -ex2_grid_view_idx 0 -ex2_dm_view -dm_landau_sphere_inner_radius_90degree_scale .35 -petscspace_degree 4 -dm_refine 0 # -ex2_dm_view hdf5:my.hdf5:hdf5_viz -ex2_vec_view hdf5:my.hdf5:hdf5_viz:append TEST*/