// Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. // // SPDX-License-Identifier: BSD-2-Clause // // This file is part of CEED: http://github.com/ceed /// @file /// Utility functions for setting up problems using the Newtonian Qfunction #include "../navierstokes.h" #include "../qfunctions/setupgeo.h" #include "../qfunctions/newtonian.h" // Compute relative error |a - b|/|s| static PetscErrorCode CheckPrimitiveWithTolerance(StatePrimitive sY, StatePrimitive aY, StatePrimitive bY, const char *name, PetscReal rtol_pressure, PetscReal rtol_velocity, PetscReal rtol_temperature) { PetscFunctionBeginUser; StatePrimitive eY; // relative error eY.pressure = (aY.pressure - bY.pressure) / sY.pressure; PetscScalar u = sqrt(Square(sY.velocity[0]) + Square(sY.velocity[1]) + Square( sY.velocity[2])); for (int j=0; j<3; j++) eY.velocity[j] = (aY.velocity[j] - bY.velocity[j]) / u; eY.temperature = (aY.temperature - bY.temperature) / sY.temperature; if (fabs(eY.pressure) > rtol_pressure) printf("%s: pressure error %g\n", name, eY.pressure); for (int j=0; j<3; j++) if (fabs(eY.velocity[j]) > rtol_velocity) printf("%s: velocity[%d] error %g\n", name, j, eY.velocity[j]); if (fabs(eY.temperature) > rtol_temperature) printf("%s: temperature error %g\n", name, eY.temperature); PetscFunctionReturn(0); } static PetscErrorCode UnitTests_Newtonian(User user, NewtonianIdealGasContext gas) { Units units = user->units; const CeedScalar eps = 1e-6; const CeedScalar kg = units->kilogram, m = units->meter, sec = units->second, Pascal = units->Pascal; PetscFunctionBeginUser; const CeedScalar rho = 1.2 * kg / (m*m*m), u = 40 * m/sec; CeedScalar U[5] = {rho, rho*u, rho *u*1.1, rho *u*1.2, 250e3*Pascal + .5*rho *u*u}; const CeedScalar x[3] = {.1, .2, .3}; State s = StateFromU(gas, U, x); for (int i=0; i<8; i++) { CeedScalar dU[5] = {0}, dx[3] = {0}; if (i < 5) dU[i] = U[i]; else dx[i-5] = x[i-5]; State ds = StateFromU_fwd(gas, s, dU, x, dx); for (int j=0; j<5; j++) dU[j] = (1 + eps * (i == j)) * U[j]; for (int j=0; j<3; j++) dx[j] = (1 + eps * (i == 5 + j)) * x[j]; State t = StateFromU(gas, dU, dx); StatePrimitive dY; dY.pressure = (t.Y.pressure - s.Y.pressure) / eps; for (int j=0; j<3; j++) dY.velocity[j] = (t.Y.velocity[j] - s.Y.velocity[j]) / eps; dY.temperature = (t.Y.temperature - s.Y.temperature) / eps; char buf[128]; snprintf(buf, sizeof buf, "StateFromU_fwd i=%d", i); PetscCall(CheckPrimitiveWithTolerance(dY, ds.Y, dY, buf, 5e-6, 1e-6, 1e-6)); } PetscFunctionReturn(0); } PetscErrorCode NS_NEWTONIAN_IG(ProblemData *problem, DM dm, void *ctx) { SetupContext setup_context; User user = *(User *)ctx; StabilizationType stab; MPI_Comm comm = PETSC_COMM_WORLD; PetscBool implicit; PetscBool has_curr_time = PETSC_FALSE, unit_tests; PetscInt ierr; NewtonianIdealGasContext newtonian_ig_ctx; CeedQFunctionContext newtonian_ig_context; PetscFunctionBeginUser; ierr = PetscCalloc1(1, &setup_context); CHKERRQ(ierr); ierr = PetscCalloc1(1, &newtonian_ig_ctx); CHKERRQ(ierr); // ------------------------------------------------------ // Setup Generic Newtonian IG Problem // ------------------------------------------------------ problem->dim = 3; problem->q_data_size_vol = 10; problem->q_data_size_sur = 10; problem->jac_data_size_sur = 5; problem->setup_vol.qfunction = Setup; problem->setup_vol.qfunction_loc = Setup_loc; problem->ics.qfunction = ICsNewtonianIG; problem->ics.qfunction_loc = ICsNewtonianIG_loc; problem->setup_sur.qfunction = SetupBoundary; problem->setup_sur.qfunction_loc = SetupBoundary_loc; problem->apply_vol_rhs.qfunction = RHSFunction_Newtonian; problem->apply_vol_rhs.qfunction_loc = RHSFunction_Newtonian_loc; problem->apply_vol_ifunction.qfunction = IFunction_Newtonian; problem->apply_vol_ifunction.qfunction_loc = IFunction_Newtonian_loc; problem->apply_vol_ijacobian.qfunction = IJacobian_Newtonian; problem->apply_vol_ijacobian.qfunction_loc = IJacobian_Newtonian_loc; problem->bc = NULL; problem->bc_ctx = setup_context; problem->non_zero_time = PETSC_FALSE; problem->print_info = PRINT_DENSITY_CURRENT; // ------------------------------------------------------ // Create the libCEED context // ------------------------------------------------------ CeedScalar cv = 717.; // J/(kg K) CeedScalar cp = 1004.; // J/(kg K) CeedScalar g[3] = {0, 0, -9.81}; // m/s^2 CeedScalar lambda = -2./3.; // - CeedScalar mu = 1.8e-5; // Pa s, dynamic viscosity CeedScalar k = 0.02638; // W/(m K) CeedScalar c_tau = 0.5; // - CeedScalar Ctau_t = 1.0; // - CeedScalar Ctau_v = 36.0; // TODO make function of degree CeedScalar Ctau_C = 1.0; // TODO make function of degree CeedScalar Ctau_M = 1.0; // TODO make function of degree CeedScalar Ctau_E = 1.0; // TODO make function of degree PetscReal domain_min[3], domain_max[3], domain_size[3]; ierr = DMGetBoundingBox(dm, domain_min, domain_max); CHKERRQ(ierr); for (PetscInt i=0; i<3; i++) domain_size[i] = domain_max[i] - domain_min[i]; // ------------------------------------------------------ // Create the PETSc context // ------------------------------------------------------ PetscScalar meter = 1; // 1 meter in scaled length units PetscScalar kilogram = 1; // 1 kilogram in scaled mass units PetscScalar second = 1; // 1 second in scaled time units PetscScalar Kelvin = 1; // 1 Kelvin in scaled temperature units PetscScalar W_per_m_K, Pascal, J_per_kg_K, m_per_squared_s; // ------------------------------------------------------ // Command line Options // ------------------------------------------------------ PetscOptionsBegin(comm, NULL, "Options for Newtonian Ideal Gas based problem", NULL); // -- Physics ierr = PetscOptionsScalar("-cv", "Heat capacity at constant volume", NULL, cv, &cv, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-cp", "Heat capacity at constant pressure", NULL, cp, &cp, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-lambda", "Stokes hypothesis second viscosity coefficient", NULL, lambda, &lambda, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-mu", "Shear dynamic viscosity coefficient", NULL, mu, &mu, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-k", "Thermal conductivity", NULL, k, &k, NULL); CHKERRQ(ierr); PetscInt dim = problem->dim; ierr = PetscOptionsRealArray("-g", "Gravitational acceleration", NULL, g, &dim, NULL); CHKERRQ(ierr); ierr = PetscOptionsEnum("-stab", "Stabilization method", NULL, StabilizationTypes, (PetscEnum)(stab = STAB_NONE), (PetscEnum *)&stab, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-c_tau", "Stabilization constant", NULL, c_tau, &c_tau, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-Ctau_t", "Stabilization time constant", NULL, Ctau_t, &Ctau_t, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-Ctau_v", "Stabilization viscous constant", NULL, Ctau_v, &Ctau_v, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-Ctau_C", "Stabilization continuity constant", NULL, Ctau_C, &Ctau_C, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-Ctau_M", "Stabilization momentum constant", NULL, Ctau_M, &Ctau_M, NULL); CHKERRQ(ierr); ierr = PetscOptionsScalar("-Ctau_E", "Stabilization energy constant", NULL, Ctau_E, &Ctau_E, NULL); CHKERRQ(ierr); ierr = PetscOptionsBool("-implicit", "Use implicit (IFunction) formulation", NULL, implicit=PETSC_FALSE, &implicit, NULL); CHKERRQ(ierr); ierr = PetscOptionsBool("-newtonian_unit_tests", "Run Newtonian unit tests", NULL, unit_tests=PETSC_FALSE, &unit_tests, NULL); CHKERRQ(ierr); // -- Units ierr = PetscOptionsScalar("-units_meter", "1 meter in scaled length units", NULL, meter, &meter, NULL); CHKERRQ(ierr); meter = fabs(meter); ierr = PetscOptionsScalar("-units_kilogram","1 kilogram in scaled mass units", NULL, kilogram, &kilogram, NULL); CHKERRQ(ierr); kilogram = fabs(kilogram); ierr = PetscOptionsScalar("-units_second","1 second in scaled time units", NULL, second, &second, NULL); CHKERRQ(ierr); second = fabs(second); ierr = PetscOptionsScalar("-units_Kelvin", "1 Kelvin in scaled temperature units", NULL, Kelvin, &Kelvin, NULL); CHKERRQ(ierr); Kelvin = fabs(Kelvin); // -- Warnings if (stab == STAB_SUPG && !implicit) { ierr = PetscPrintf(comm, "Warning! Use -stab supg only with -implicit\n"); CHKERRQ(ierr); } PetscOptionsEnd(); // ------------------------------------------------------ // Set up the PETSc context // ------------------------------------------------------ // -- Define derived units Pascal = kilogram / (meter * PetscSqr(second)); J_per_kg_K = PetscSqr(meter) / (PetscSqr(second) * Kelvin); m_per_squared_s = meter / PetscSqr(second); W_per_m_K = kilogram * meter / (pow(second,3) * Kelvin); user->units->meter = meter; user->units->kilogram = kilogram; user->units->second = second; user->units->Kelvin = Kelvin; user->units->Pascal = Pascal; user->units->J_per_kg_K = J_per_kg_K; user->units->m_per_squared_s = m_per_squared_s; user->units->W_per_m_K = W_per_m_K; // ------------------------------------------------------ // Set up the libCEED context // ------------------------------------------------------ // -- Scale variables to desired units cv *= J_per_kg_K; cp *= J_per_kg_K; mu *= Pascal * second; k *= W_per_m_K; for (PetscInt i=0; i<3; i++) domain_size[i] *= meter; for (PetscInt i=0; i<3; i++) g[i] *= m_per_squared_s; problem->dm_scale = meter; // -- Setup Context setup_context->cv = cv; setup_context->cp = cp; setup_context->lx = domain_size[0]; setup_context->ly = domain_size[1]; setup_context->lz = domain_size[2]; setup_context->time = 0; ierr = PetscArraycpy(setup_context->g, g, 3); CHKERRQ(ierr); // -- Solver Settings user->phys->stab = stab; user->phys->implicit = implicit; user->phys->has_curr_time = has_curr_time; // -- QFunction Context newtonian_ig_ctx->lambda = lambda; newtonian_ig_ctx->mu = mu; newtonian_ig_ctx->k = k; newtonian_ig_ctx->cv = cv; newtonian_ig_ctx->cp = cp; newtonian_ig_ctx->c_tau = c_tau; newtonian_ig_ctx->Ctau_t = Ctau_t; newtonian_ig_ctx->Ctau_v = Ctau_v; newtonian_ig_ctx->Ctau_C = Ctau_C; newtonian_ig_ctx->Ctau_M = Ctau_M; newtonian_ig_ctx->Ctau_E = Ctau_E; newtonian_ig_ctx->stabilization = stab; ierr = PetscArraycpy(newtonian_ig_ctx->g, g, 3); CHKERRQ(ierr); CeedQFunctionContextCreate(user->ceed, &problem->ics.qfunction_context); CeedQFunctionContextSetData(problem->ics.qfunction_context, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*setup_context), setup_context); CeedQFunctionContextSetDataDestroy(problem->ics.qfunction_context, CEED_MEM_HOST, FreeContextPetsc); CeedQFunctionContextRegisterDouble(problem->ics.qfunction_context, "evaluation time", (char *)&setup_context->time - (char *)setup_context, 1, "Time of evaluation"); CeedQFunctionContextCreate(user->ceed, &newtonian_ig_context); CeedQFunctionContextSetData(newtonian_ig_context, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*newtonian_ig_ctx), newtonian_ig_ctx); CeedQFunctionContextSetDataDestroy(newtonian_ig_context, CEED_MEM_HOST, FreeContextPetsc); CeedQFunctionContextRegisterDouble(newtonian_ig_context, "timestep size", offsetof(struct NewtonianIdealGasContext_, dt), 1, "Size of timestep, delta t"); CeedQFunctionContextRegisterDouble(newtonian_ig_context, "ijacobian time shift", offsetof(struct NewtonianIdealGasContext_, ijacobian_time_shift), 1, "Shift for mass matrix in IJacobian"); problem->apply_vol_rhs.qfunction_context = newtonian_ig_context; CeedQFunctionContextReferenceCopy(newtonian_ig_context, &problem->apply_vol_ifunction.qfunction_context); CeedQFunctionContextReferenceCopy(newtonian_ig_context, &problem->apply_vol_ijacobian.qfunction_context); if (unit_tests) { PetscCall(UnitTests_Newtonian(user, newtonian_ig_ctx)); } PetscFunctionReturn(0); } PetscErrorCode PRINT_DENSITY_CURRENT(ProblemData *problem, AppCtx app_ctx) { MPI_Comm comm = PETSC_COMM_WORLD; PetscErrorCode ierr; NewtonianIdealGasContext newtonian_ctx; PetscFunctionBeginUser; CeedQFunctionContextGetData(problem->apply_vol_rhs.qfunction_context, CEED_MEM_HOST, &newtonian_ctx); ierr = PetscPrintf(comm, " Problem:\n" " Problem Name : %s\n" " Stabilization : %s\n", app_ctx->problem_name, StabilizationTypes[newtonian_ctx->stabilization]); CHKERRQ(ierr); CeedQFunctionContextRestoreData(problem->apply_vol_rhs.qfunction_context, &newtonian_ctx); PetscFunctionReturn(0); }