1 // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 // libCEED + PETSc Example: Navier-Stokes 9 // 10 // This example demonstrates a simple usage of libCEED with PETSc to solve a 11 // Navier-Stokes problem. 12 // 13 // The code is intentionally "raw", using only low-level communication 14 // primitives. 15 // 16 // Build with: 17 // 18 // make [PETSC_DIR=</path/to/petsc>] [CEED_DIR=</path/to/libceed>] navierstokes 19 // 20 // Sample runs: 21 // 22 // ./navierstokes -ceed /cpu/self -problem density_current -degree 1 23 // ./navierstokes -ceed /gpu/cuda -problem advection -degree 1 24 // 25 //TESTARGS(name="channel") -ceed {ceed_resource} -test -options_file examples/fluids/channel.yaml -compare_final_state_atol 2e-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-channel.bin 26 //TESTARGS(name="dc_explicit") -ceed {ceed_resource} -test -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -bc_slip_x 5,6 -bc_slip_y 3,4 -bc_Slip_z 1,2 -units_kilogram 1e-9 -center 62.5,62.5,187.5 -rc 100. -thetaC -35. -mu 75 -ts_dt 1e-3 -units_meter 1e-2 -units_second 1e-2 -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-dc-explicit.bin 27 //TESTARGS(name="dc_implicit_stab_none") -ceed {ceed_resource} -test -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -bc_slip_x 5,6 -bc_slip_y 3,4 -bc_Slip_z 1,2 -units_kilogram 1e-9 -center 62.5,62.5,187.5 -rc 100. -thetaC -35. -mu 75 -units_meter 1e-2 -units_second 1e-2 -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-dc-implicit-stab-none.bin 28 //TESTARGS(name="adv_rotation_explicit_strong") -ceed {ceed_resource} -test -problem advection -strong_form 1 -degree 3 -dm_plex_box_faces 2,2,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -bc_wall 1,2,3,4,5,6 -wall_comps 4 -units_kilogram 1e-9 -rc 100. -ts_dt 1e-3 -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv-rotation-explicit-strong.bin 29 //TESTARGS(name="adv_rotation_implicit_sharp_cylinder") -ceed {ceed_resource} -test -problem advection -bubble_type cylinder -bubble_continuity back_sharp -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -bc_Slip_z 1,2 -bc_wall 3,4,5,6 -wall_comps 4 -units_kilogram 1e-9 -rc 100. -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv-rotation-implicit-sharp-cylinder.bin 30 //TESTARGS(name="adv_rotation_implicit_stab_supg") -ceed {ceed_resource} -test -problem advection -CtauS .3 -stab supg -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -bc_wall 1,2,3,4,5,6 -wall_comps 4 -units_kilogram 1e-9 -rc 100. -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv-rotation-implicit-stab-supg.bin 31 //TESTARGS(name="adv_translation_implicit_stab_su") -ceed {ceed_resource} -test -problem advection -CtauS .3 -stab su -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -units_kilogram 1e-9 -rc 100. -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -wind_type translation -wind_translation .53,-1.33,-2.65 -bc_inflow 1,2,3,4,5,6 -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv-translation-implicit-stab-su.bin 32 //TESTARGS(name="adv2d_rotation_explicit_strong") -ceed {ceed_resource} -test -problem advection2d -strong_form 1 -degree 3 -dm_plex_box_faces 2,2 -dm_plex_box_lower 0,0 -dm_plex_box_upper 125,125 -bc_wall 1,2,3,4 -wall_comps 4 -units_kilogram 1e-9 -rc 100. -ts_dt 1e-3 -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv2d-rotation-explicit-strong.bin 33 //TESTARGS(name="adv2d_rotation_implicit_stab_supg") -ceed {ceed_resource} -test -problem advection2d -CtauS .3 -stab supg -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0 -dm_plex_box_upper 125,125 -bc_wall 1,2,3,4 -wall_comps 4 -units_kilogram 1e-9 -rc 100. -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv2d-rotation-implicit-stab-supg.bin 34 //TESTARGS(name="adv2d_translation_implicit_stab_su") -ceed {ceed_resource} -test -problem advection2d -CtauS .3 -stab su -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0 -dm_plex_box_upper 125,125 -units_kilogram 1e-9 -rc 100. -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -wind_type translation -wind_translation .53,-1.33,0 -bc_inflow 1,2,3,4 -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-adv2d-translation-implicit-stab-su.bin 35 //TESTARGS(name="euler_implicit") -ceed {ceed_resource} -test -problem euler_vortex -degree 3 -dm_plex_box_faces 1,1,2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -units_meter 1e-4 -units_second 1e-4 -mean_velocity 1.4,-2.,0 -bc_inflow 4,6 -bc_outflow 3,5 -bc_slip_z 1,2 -vortex_strength 2 -ksp_atol 1e-4 -ksp_rtol 1e-3 -ksp_type bcgs -snes_atol 1e-3 -snes_lag_jacobian 100 -snes_lag_jacobian_persists -snes_mf_operator -ts_dt 1e-3 -implicit -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-euler-implicit.bin 36 //TESTARGS(name="euler_explicit") -ceed {ceed_resource} -test -problem euler_vortex -degree 3 -dm_plex_box_faces 2,2,1 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 125,125,250 -dm_plex_dim 3 -units_meter 1e-4 -units_second 1e-4 -mean_velocity 1.4,-2.,0 -bc_inflow 4,6 -bc_outflow 3,5 -bc_slip_z 1,2 -vortex_strength 2 -ts_dt 1e-7 -ts_rk_type 5bs -ts_rtol 1e-10 -ts_atol 1e-10 -compare_final_state_atol 1E-7 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-euler-explicit.bin 37 //TESTARGS(name="shocktube_explicit_su_yzb") -ceed {ceed_resource} -test -problem shocktube -degree 1 -dm_plex_box_faces 50,1,1 -units_meter 1e-2 units_second 1e-2 -dm_plex_box_lower 0,0,0 -dm_plex_box_upper 1000,20,20 -dm_plex_dim 3 -bc_slip_x 5,6 -bc_slip_y 3,4 -bc_Slip_z 1,2 -yzb -stab su -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-shocktube-explicit-su-yzb.bin 38 39 /// @file 40 /// Navier-Stokes example using PETSc 41 42 const char help[] = "Solve Navier-Stokes using PETSc and libCEED\n"; 43 44 #include "navierstokes.h" 45 46 int main(int argc, char **argv) { 47 // --------------------------------------------------------------------------- 48 // Initialize PETSc 49 // --------------------------------------------------------------------------- 50 PetscInt ierr; 51 ierr = PetscInitialize(&argc, &argv, NULL, help); 52 if (ierr) return ierr; 53 54 // --------------------------------------------------------------------------- 55 // Create structs 56 // --------------------------------------------------------------------------- 57 AppCtx app_ctx; 58 ierr = PetscCalloc1(1, &app_ctx); CHKERRQ(ierr); 59 60 ProblemData *problem = NULL; 61 ierr = PetscCalloc1(1, &problem); CHKERRQ(ierr); 62 63 User user; 64 ierr = PetscCalloc1(1, &user); CHKERRQ(ierr); 65 66 CeedData ceed_data; 67 ierr = PetscCalloc1(1, &ceed_data); CHKERRQ(ierr); 68 69 SimpleBC bc; 70 ierr = PetscCalloc1(1, &bc); CHKERRQ(ierr); 71 72 Physics phys_ctx; 73 ierr = PetscCalloc1(1, &phys_ctx); CHKERRQ(ierr); 74 75 Units units; 76 ierr = PetscCalloc1(1, &units); CHKERRQ(ierr); 77 78 user->app_ctx = app_ctx; 79 user->units = units; 80 user->phys = phys_ctx; 81 82 // --------------------------------------------------------------------------- 83 // Process command line options 84 // --------------------------------------------------------------------------- 85 // -- Register problems to be available on the command line 86 ierr = RegisterProblems_NS(app_ctx); CHKERRQ(ierr); 87 88 // -- Process general command line options 89 MPI_Comm comm = PETSC_COMM_WORLD; 90 user->comm = comm; 91 ierr = ProcessCommandLineOptions(comm, app_ctx, bc); CHKERRQ(ierr); 92 93 // --------------------------------------------------------------------------- 94 // Initialize libCEED 95 // --------------------------------------------------------------------------- 96 // -- Initialize backend 97 Ceed ceed; 98 CeedInit(app_ctx->ceed_resource, &ceed); 99 user->ceed = ceed; 100 101 // -- Check preferred MemType 102 CeedMemType mem_type_backend; 103 CeedGetPreferredMemType(ceed, &mem_type_backend); 104 105 // --------------------------------------------------------------------------- 106 // Set up global mesh 107 // --------------------------------------------------------------------------- 108 // -- Create DM 109 DM dm; 110 ierr = CreateDM(comm, problem, &dm); CHKERRQ(ierr); 111 VecType vec_type = NULL; 112 switch (mem_type_backend) { 113 case CEED_MEM_HOST: vec_type = VECSTANDARD; break; 114 case CEED_MEM_DEVICE: { 115 const char *resolved; 116 CeedGetResource(ceed, &resolved); 117 if (strstr(resolved, "/gpu/cuda")) vec_type = VECCUDA; 118 else if (strstr(resolved, "/gpu/hip")) vec_type = VECHIP; 119 else vec_type = VECSTANDARD; 120 } 121 } 122 ierr = DMSetVecType(dm, vec_type); CHKERRQ(ierr); 123 user->dm = dm; 124 125 // --------------------------------------------------------------------------- 126 // Choose the problem from the list of registered problems 127 // --------------------------------------------------------------------------- 128 { 129 PetscErrorCode (*p)(ProblemData *, DM, void *); 130 ierr = PetscFunctionListFind(app_ctx->problems, app_ctx->problem_name, &p); 131 CHKERRQ(ierr); 132 if (!p) SETERRQ(PETSC_COMM_SELF, 1, "Problem '%s' not found", 133 app_ctx->problem_name); 134 ierr = (*p)(problem, dm, &user); CHKERRQ(ierr); 135 } 136 137 // -- Set up DM 138 ierr = SetUpDM(dm, problem, app_ctx->degree, bc, phys_ctx); 139 CHKERRQ(ierr); 140 141 // -- Refine DM for high-order viz 142 if (app_ctx->viz_refine) { 143 ierr = VizRefineDM(dm, user, problem, bc, phys_ctx); 144 CHKERRQ(ierr); 145 } 146 147 // --------------------------------------------------------------------------- 148 // Set up libCEED 149 // --------------------------------------------------------------------------- 150 // -- Set up libCEED objects 151 ierr = SetupLibceed(ceed, ceed_data, dm, user, app_ctx, problem, bc); 152 CHKERRQ(ierr); 153 154 // --------------------------------------------------------------------------- 155 // Set up ICs 156 // --------------------------------------------------------------------------- 157 // -- Set up global state vector Q 158 Vec Q; 159 ierr = DMCreateGlobalVector(dm, &Q); CHKERRQ(ierr); 160 ierr = VecZeroEntries(Q); CHKERRQ(ierr); 161 162 // -- Set up local state vector Q_loc 163 Vec Q_loc; 164 ierr = DMGetLocalVector(dm, &Q_loc); CHKERRQ(ierr); 165 166 // -- Fix multiplicity for ICs 167 ierr = ICs_FixMultiplicity(dm, ceed_data, user, Q_loc, Q, 0.0); CHKERRQ(ierr); 168 169 // --------------------------------------------------------------------------- 170 // Set up lumped mass matrix 171 // --------------------------------------------------------------------------- 172 // -- Set up global mass vector 173 ierr = VecDuplicate(Q, &user->M); CHKERRQ(ierr); 174 175 // -- Compute lumped mass matrix 176 ierr = ComputeLumpedMassMatrix(ceed, dm, ceed_data, user->M); CHKERRQ(ierr); 177 178 // --------------------------------------------------------------------------- 179 // Record boundary values from initial condition 180 // --------------------------------------------------------------------------- 181 // -- This overrides DMPlexInsertBoundaryValues(). 182 // We use this for the main simulation DM because the reference 183 // DMPlexInsertBoundaryValues() is very slow. If we disable this, we should 184 // still get the same results due to the problem->bc function, but with 185 // potentially much slower execution. 186 if (1) {ierr = SetBCsFromICs_NS(dm, Q, Q_loc); CHKERRQ(ierr);} 187 188 // --------------------------------------------------------------------------- 189 // Create output directory 190 // --------------------------------------------------------------------------- 191 PetscMPIInt rank; 192 MPI_Comm_rank(comm, &rank); 193 if (!rank) {ierr = PetscMkdir(app_ctx->output_dir); CHKERRQ(ierr);} 194 195 // --------------------------------------------------------------------------- 196 // Gather initial Q values in case of continuation of simulation 197 // --------------------------------------------------------------------------- 198 // -- Set up initial values from binary file 199 if (app_ctx->cont_steps) { 200 ierr = SetupICsFromBinary(comm, app_ctx, Q); CHKERRQ(ierr); 201 } 202 203 // --------------------------------------------------------------------------- 204 // Print problem summary 205 // --------------------------------------------------------------------------- 206 if (!app_ctx->test_mode) { 207 // Header and rank 208 char host_name[PETSC_MAX_PATH_LEN]; 209 int comm_size; 210 ierr = PetscGetHostName(host_name, sizeof host_name); CHKERRQ(ierr); 211 ierr = MPI_Comm_size(comm, &comm_size); CHKERRQ(ierr); 212 ierr = PetscPrintf(comm, 213 "\n-- Navier-Stokes solver - libCEED + PETSc --\n" 214 " MPI:\n" 215 " Host Name : %s\n" 216 " Total ranks : %d\n", 217 host_name, comm_size); CHKERRQ(ierr); 218 219 // Problem specific info 220 ierr = problem->print_info(problem, app_ctx); CHKERRQ(ierr); 221 222 // libCEED 223 const char *used_resource; 224 CeedGetResource(ceed, &used_resource); 225 ierr = PetscPrintf(comm, 226 " libCEED:\n" 227 " libCEED Backend : %s\n" 228 " libCEED Backend MemType : %s\n", 229 used_resource, CeedMemTypes[mem_type_backend]); CHKERRQ(ierr); 230 // PETSc 231 char box_faces_str[PETSC_MAX_PATH_LEN] = "3,3,3"; 232 if (problem->dim == 2) box_faces_str[3] = '\0'; 233 ierr = PetscOptionsGetString(NULL, NULL, "-dm_plex_box_faces", box_faces_str, 234 sizeof(box_faces_str), NULL); CHKERRQ(ierr); 235 ierr = PetscPrintf(comm, 236 " PETSc:\n" 237 " Box Faces : %s\n" 238 " Time Stepping Scheme : %s\n", 239 box_faces_str, phys_ctx->implicit ? "implicit" : "explicit"); CHKERRQ(ierr); 240 // Mesh 241 const PetscInt num_comp_q = 5; 242 CeedInt glob_dofs, owned_dofs; 243 PetscInt glob_nodes, owned_nodes; 244 const CeedInt num_P = app_ctx->degree + 1, 245 num_Q = num_P + app_ctx->q_extra; 246 // -- Get global size 247 ierr = VecGetSize(Q, &glob_dofs); CHKERRQ(ierr); 248 ierr = VecGetLocalSize(Q, &owned_dofs); CHKERRQ(ierr); 249 glob_nodes = glob_dofs/num_comp_q; 250 // -- Get local size 251 ierr = VecGetSize(Q_loc, &owned_nodes); CHKERRQ(ierr); 252 owned_nodes /= num_comp_q; 253 ierr = PetscPrintf(comm, 254 " Mesh:\n" 255 " Number of 1D Basis Nodes (P) : %d\n" 256 " Number of 1D Quadrature Points (Q) : %d\n" 257 " Global DoFs : %" PetscInt_FMT "\n" 258 " Owned DoFs : %" PetscInt_FMT "\n" 259 " DoFs per node : %" PetscInt_FMT "\n" 260 " Global nodes : %" PetscInt_FMT "\n" 261 " Owned nodes : %" PetscInt_FMT "\n", 262 num_P, num_Q, glob_dofs, owned_dofs, num_comp_q, 263 glob_nodes, owned_nodes); CHKERRQ(ierr); 264 } 265 // -- Restore Q_loc 266 ierr = DMRestoreLocalVector(dm, &Q_loc); CHKERRQ(ierr); 267 268 // --------------------------------------------------------------------------- 269 // TS: Create, setup, and solve 270 // --------------------------------------------------------------------------- 271 TS ts; 272 PetscScalar final_time; 273 ierr = TSSolve_NS(dm, user, app_ctx, phys_ctx, &Q, &final_time, &ts); 274 CHKERRQ(ierr); 275 276 // --------------------------------------------------------------------------- 277 // Post-processing 278 // --------------------------------------------------------------------------- 279 ierr = PostProcess_NS(ts, ceed_data, dm, problem, user, Q, final_time); 280 CHKERRQ(ierr); 281 282 // --------------------------------------------------------------------------- 283 // Destroy libCEED objects 284 // --------------------------------------------------------------------------- 285 // -- Vectors 286 CeedVectorDestroy(&ceed_data->x_coord); 287 CeedVectorDestroy(&ceed_data->q_data); 288 CeedVectorDestroy(&user->q_ceed); 289 CeedVectorDestroy(&user->q_dot_ceed); 290 CeedVectorDestroy(&user->g_ceed); 291 292 // -- QFunctions 293 CeedQFunctionDestroy(&ceed_data->qf_setup_vol); 294 CeedQFunctionDestroy(&ceed_data->qf_ics); 295 CeedQFunctionDestroy(&ceed_data->qf_rhs_vol); 296 CeedQFunctionDestroy(&ceed_data->qf_ifunction_vol); 297 CeedQFunctionDestroy(&ceed_data->qf_setup_sur); 298 CeedQFunctionDestroy(&ceed_data->qf_apply_inflow); 299 CeedQFunctionDestroy(&ceed_data->qf_apply_outflow); 300 301 // -- Bases 302 CeedBasisDestroy(&ceed_data->basis_q); 303 CeedBasisDestroy(&ceed_data->basis_x); 304 CeedBasisDestroy(&ceed_data->basis_xc); 305 CeedBasisDestroy(&ceed_data->basis_q_sur); 306 CeedBasisDestroy(&ceed_data->basis_x_sur); 307 308 // -- Restrictions 309 CeedElemRestrictionDestroy(&ceed_data->elem_restr_q); 310 CeedElemRestrictionDestroy(&ceed_data->elem_restr_x); 311 CeedElemRestrictionDestroy(&ceed_data->elem_restr_qd_i); 312 313 // -- Operators 314 CeedOperatorDestroy(&ceed_data->op_setup_vol); 315 CeedOperatorDestroy(&ceed_data->op_ics); 316 CeedOperatorDestroy(&user->op_rhs_vol); 317 CeedOperatorDestroy(&user->op_ifunction_vol); 318 CeedOperatorDestroy(&user->op_rhs); 319 CeedOperatorDestroy(&user->op_ifunction); 320 321 // -- Ceed 322 CeedDestroy(&ceed); 323 324 // --------------------------------------------------------------------------- 325 // Clean up PETSc 326 // --------------------------------------------------------------------------- 327 // -- Vectors 328 ierr = VecDestroy(&Q); CHKERRQ(ierr); 329 ierr = VecDestroy(&user->M); CHKERRQ(ierr); 330 331 // -- Matrices 332 ierr = MatDestroy(&user->interp_viz); CHKERRQ(ierr); 333 334 // -- DM 335 ierr = DMDestroy(&dm); CHKERRQ(ierr); 336 ierr = DMDestroy(&user->dm_viz); CHKERRQ(ierr); 337 338 // -- TS 339 ierr = TSDestroy(&ts); CHKERRQ(ierr); 340 341 // -- Function list 342 ierr = PetscFunctionListDestroy(&app_ctx->problems); CHKERRQ(ierr); 343 344 ierr = PetscFree(problem->bc_ctx); CHKERRQ(ierr); 345 346 // -- Structs 347 ierr = PetscFree(units); CHKERRQ(ierr); 348 ierr = PetscFree(user); CHKERRQ(ierr); 349 ierr = PetscFree(problem); CHKERRQ(ierr); 350 ierr = PetscFree(bc); CHKERRQ(ierr); 351 ierr = PetscFree(phys_ctx); CHKERRQ(ierr); 352 ierr = PetscFree(app_ctx); CHKERRQ(ierr); 353 ierr = PetscFree(ceed_data); CHKERRQ(ierr); 354 355 return PetscFinalize(); 356 } 357