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="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. -ts_dt 1e-3 -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-dc-explicit.bin 26 //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. -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 27 //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 28 //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 29 //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 30 //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 31 //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 32 //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 33 //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 34 //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 35 //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 36 37 /// @file 38 /// Navier-Stokes example using PETSc 39 40 const char help[] = "Solve Navier-Stokes using PETSc and libCEED\n"; 41 42 #include "navierstokes.h" 43 44 int main(int argc, char **argv) { 45 // --------------------------------------------------------------------------- 46 // Initialize PETSc 47 // --------------------------------------------------------------------------- 48 PetscInt ierr; 49 ierr = PetscInitialize(&argc, &argv, NULL, help); 50 if (ierr) return ierr; 51 52 // --------------------------------------------------------------------------- 53 // Create structs 54 // --------------------------------------------------------------------------- 55 AppCtx app_ctx; 56 ierr = PetscCalloc1(1, &app_ctx); CHKERRQ(ierr); 57 58 ProblemData *problem = NULL; 59 ierr = PetscCalloc1(1, &problem); CHKERRQ(ierr); 60 61 User user; 62 ierr = PetscCalloc1(1, &user); CHKERRQ(ierr); 63 64 CeedData ceed_data; 65 ierr = PetscCalloc1(1, &ceed_data); CHKERRQ(ierr); 66 67 SimpleBC bc; 68 ierr = PetscCalloc1(1, &bc); CHKERRQ(ierr); 69 70 SetupContext setup_ctx; 71 ierr = PetscCalloc1(1, &setup_ctx); CHKERRQ(ierr); 72 73 Physics phys_ctx; 74 ierr = PetscCalloc1(1, &phys_ctx); CHKERRQ(ierr); 75 76 Units units; 77 ierr = PetscCalloc1(1, &units); CHKERRQ(ierr); 78 79 user->app_ctx = app_ctx; 80 user->units = units; 81 user->phys = phys_ctx; 82 83 // --------------------------------------------------------------------------- 84 // Process command line options 85 // --------------------------------------------------------------------------- 86 // -- Register problems to be available on the command line 87 ierr = RegisterProblems_NS(app_ctx); CHKERRQ(ierr); 88 89 // -- Process general command line options 90 MPI_Comm comm = PETSC_COMM_WORLD; 91 user->comm = comm; 92 ierr = ProcessCommandLineOptions(comm, app_ctx, bc); CHKERRQ(ierr); 93 94 // --------------------------------------------------------------------------- 95 // Initialize libCEED 96 // --------------------------------------------------------------------------- 97 // -- Initialize backend 98 Ceed ceed; 99 CeedInit(app_ctx->ceed_resource, &ceed); 100 user->ceed = ceed; 101 102 // -- Check preferred MemType 103 CeedMemType mem_type_backend; 104 CeedGetPreferredMemType(ceed, &mem_type_backend); 105 106 // --------------------------------------------------------------------------- 107 // Set up global mesh 108 // --------------------------------------------------------------------------- 109 // -- Create DM 110 DM dm; 111 ierr = CreateDM(comm, problem, &dm); CHKERRQ(ierr); 112 VecType vec_type = NULL; 113 switch (mem_type_backend) { 114 case CEED_MEM_HOST: vec_type = VECSTANDARD; break; 115 case CEED_MEM_DEVICE: { 116 const char *resolved; 117 CeedGetResource(ceed, &resolved); 118 if (strstr(resolved, "/gpu/cuda")) vec_type = VECCUDA; 119 else if (strstr(resolved, "/gpu/hip")) vec_type = VECHIP; 120 else vec_type = VECSTANDARD; 121 } 122 } 123 ierr = DMSetVecType(dm, vec_type); CHKERRQ(ierr); 124 user->dm = dm; 125 126 // --------------------------------------------------------------------------- 127 // Choose the problem from the list of registered problems 128 // --------------------------------------------------------------------------- 129 { 130 PetscErrorCode (*p)(ProblemData *, DM, void *, void *); 131 ierr = PetscFunctionListFind(app_ctx->problems, app_ctx->problem_name, &p); 132 CHKERRQ(ierr); 133 if (!p) SETERRQ(PETSC_COMM_SELF, 1, "Problem '%s' not found", 134 app_ctx->problem_name); 135 ierr = (*p)(problem, dm, &setup_ctx, &user); CHKERRQ(ierr); 136 } 137 138 // -- Set up DM 139 ierr = SetUpDM(dm, problem, app_ctx->degree, bc, phys_ctx, setup_ctx); 140 CHKERRQ(ierr); 141 142 // -- Refine DM for high-order viz 143 if (app_ctx->viz_refine) { 144 ierr = VizRefineDM(dm, user, problem, bc, phys_ctx, setup_ctx); 145 CHKERRQ(ierr); 146 } 147 148 // --------------------------------------------------------------------------- 149 // Set up libCEED 150 // --------------------------------------------------------------------------- 151 // -- Set up libCEED objects 152 ierr = SetupLibceed(ceed, ceed_data, dm, user, app_ctx, problem, bc); 153 CHKERRQ(ierr); 154 155 // -- Set up context for QFunctions 156 ierr = problem->setup_ctx(ceed, ceed_data, app_ctx, setup_ctx, phys_ctx); 157 CHKERRQ(ierr); 158 159 // --------------------------------------------------------------------------- 160 // Set up ICs 161 // --------------------------------------------------------------------------- 162 // -- Set up global state vector Q 163 Vec Q; 164 ierr = DMCreateGlobalVector(dm, &Q); CHKERRQ(ierr); 165 ierr = VecZeroEntries(Q); CHKERRQ(ierr); 166 167 // -- Set up local state vector Q_loc 168 Vec Q_loc; 169 ierr = DMGetLocalVector(dm, &Q_loc); CHKERRQ(ierr); 170 171 // -- Fix multiplicity for ICs 172 ierr = ICs_FixMultiplicity(dm, ceed_data, Q_loc, Q, 0.0); CHKERRQ(ierr); 173 174 // --------------------------------------------------------------------------- 175 // Set up lumped mass matrix 176 // --------------------------------------------------------------------------- 177 // -- Set up global mass vector 178 ierr = VecDuplicate(Q, &user->M); CHKERRQ(ierr); 179 180 // -- Compute lumped mass matrix 181 ierr = ComputeLumpedMassMatrix(ceed, dm, ceed_data, user->M); CHKERRQ(ierr); 182 183 // --------------------------------------------------------------------------- 184 // Record boundary values from initial condition 185 // --------------------------------------------------------------------------- 186 // -- This overrides DMPlexInsertBoundaryValues(). 187 // We use this for the main simulation DM because the reference 188 // DMPlexInsertBoundaryValues() is very slow. If we disable this, we should 189 // still get the same results due to the problem->bc function, but with 190 // potentially much slower execution. 191 if (1) {ierr = SetBCsFromICs_NS(dm, Q, Q_loc); CHKERRQ(ierr);} 192 193 // --------------------------------------------------------------------------- 194 // Create output directory 195 // --------------------------------------------------------------------------- 196 PetscMPIInt rank; 197 MPI_Comm_rank(comm, &rank); 198 if (!rank) {ierr = PetscMkdir(app_ctx->output_dir); CHKERRQ(ierr);} 199 200 // --------------------------------------------------------------------------- 201 // Gather initial Q values in case of continuation of simulation 202 // --------------------------------------------------------------------------- 203 // -- Set up initial values from binary file 204 if (app_ctx->cont_steps) { 205 ierr = SetupICsFromBinary(comm, app_ctx, Q); CHKERRQ(ierr); 206 } 207 208 // --------------------------------------------------------------------------- 209 // Print problem summary 210 // --------------------------------------------------------------------------- 211 if (!app_ctx->test_mode) { 212 // Header and rank 213 char host_name[PETSC_MAX_PATH_LEN]; 214 int comm_size; 215 ierr = PetscGetHostName(host_name, sizeof host_name); CHKERRQ(ierr); 216 ierr = MPI_Comm_size(comm, &comm_size); CHKERRQ(ierr); 217 ierr = PetscPrintf(comm, 218 "\n-- Navier-Stokes solver - libCEED + PETSc --\n" 219 " MPI:\n" 220 " Host Name : %s\n" 221 " Total ranks : %d\n", 222 host_name, comm_size); CHKERRQ(ierr); 223 224 // Problem specific info 225 ierr = problem->print_info(phys_ctx, setup_ctx, app_ctx); CHKERRQ(ierr); 226 227 // libCEED 228 const char *used_resource; 229 CeedGetResource(ceed, &used_resource); 230 ierr = PetscPrintf(comm, 231 " libCEED:\n" 232 " libCEED Backend : %s\n" 233 " libCEED Backend MemType : %s\n", 234 used_resource, CeedMemTypes[mem_type_backend]); CHKERRQ(ierr); 235 // PETSc 236 char box_faces_str[PETSC_MAX_PATH_LEN] = "3,3,3"; 237 if (problem->dim == 2) box_faces_str[3] = '\0'; 238 ierr = PetscOptionsGetString(NULL, NULL, "-dm_plex_box_faces", box_faces_str, 239 sizeof(box_faces_str), NULL); CHKERRQ(ierr); 240 ierr = PetscPrintf(comm, 241 " PETSc:\n" 242 " Box Faces : %s\n" 243 " Time Stepping Scheme : %s\n", 244 box_faces_str, phys_ctx->implicit ? "implicit" : "explicit"); CHKERRQ(ierr); 245 // Mesh 246 const PetscInt num_comp_q = 5; 247 CeedInt glob_dofs, owned_dofs; 248 PetscInt glob_nodes, owned_nodes; 249 const CeedInt num_P = app_ctx->degree + 1, 250 num_Q = num_P + app_ctx->q_extra; 251 // -- Get global size 252 ierr = VecGetSize(Q, &glob_dofs); CHKERRQ(ierr); 253 ierr = VecGetLocalSize(Q, &owned_dofs); CHKERRQ(ierr); 254 glob_nodes = glob_dofs/num_comp_q; 255 // -- Get local size 256 ierr = VecGetSize(Q_loc, &owned_nodes); CHKERRQ(ierr); 257 owned_nodes /= num_comp_q; 258 ierr = PetscPrintf(comm, 259 " Mesh:\n" 260 " Number of 1D Basis Nodes (P) : %d\n" 261 " Number of 1D Quadrature Points (Q) : %d\n" 262 " Global DoFs : %D\n" 263 " Owned DoFs : %D\n" 264 " DoFs per node : %D\n" 265 " Global nodes : %D\n" 266 " Owned nodes : %D\n", 267 num_P, num_Q, glob_dofs, owned_dofs, num_comp_q, 268 glob_nodes, owned_nodes); CHKERRQ(ierr); 269 } 270 // -- Restore Q_loc 271 ierr = DMRestoreLocalVector(dm, &Q_loc); CHKERRQ(ierr); 272 273 // --------------------------------------------------------------------------- 274 // TS: Create, setup, and solve 275 // --------------------------------------------------------------------------- 276 TS ts; 277 PetscScalar final_time; 278 ierr = TSSolve_NS(dm, user, app_ctx, phys_ctx, &Q, &final_time, &ts); 279 CHKERRQ(ierr); 280 281 // --------------------------------------------------------------------------- 282 // Post-processing 283 // --------------------------------------------------------------------------- 284 ierr = PostProcess_NS(ts, ceed_data, dm, problem, app_ctx, Q, final_time); 285 CHKERRQ(ierr); 286 287 // --------------------------------------------------------------------------- 288 // Destroy libCEED objects 289 // --------------------------------------------------------------------------- 290 // -- Vectors 291 CeedVectorDestroy(&ceed_data->x_coord); 292 CeedVectorDestroy(&ceed_data->q_data); 293 CeedVectorDestroy(&user->q_ceed); 294 CeedVectorDestroy(&user->q_dot_ceed); 295 CeedVectorDestroy(&user->g_ceed); 296 297 // -- Contexts 298 CeedQFunctionContextDestroy(&ceed_data->setup_context); 299 CeedQFunctionContextDestroy(&ceed_data->newt_ig_context); 300 CeedQFunctionContextDestroy(&ceed_data->advection_context); 301 CeedQFunctionContextDestroy(&ceed_data->euler_context); 302 303 // -- QFunctions 304 CeedQFunctionDestroy(&ceed_data->qf_setup_vol); 305 CeedQFunctionDestroy(&ceed_data->qf_ics); 306 CeedQFunctionDestroy(&ceed_data->qf_rhs_vol); 307 CeedQFunctionDestroy(&ceed_data->qf_ifunction_vol); 308 CeedQFunctionDestroy(&ceed_data->qf_setup_sur); 309 CeedQFunctionDestroy(&ceed_data->qf_apply_inflow); 310 CeedQFunctionDestroy(&ceed_data->qf_apply_outflow); 311 312 // -- Bases 313 CeedBasisDestroy(&ceed_data->basis_q); 314 CeedBasisDestroy(&ceed_data->basis_x); 315 CeedBasisDestroy(&ceed_data->basis_xc); 316 CeedBasisDestroy(&ceed_data->basis_q_sur); 317 CeedBasisDestroy(&ceed_data->basis_x_sur); 318 319 // -- Restrictions 320 CeedElemRestrictionDestroy(&ceed_data->elem_restr_q); 321 CeedElemRestrictionDestroy(&ceed_data->elem_restr_x); 322 CeedElemRestrictionDestroy(&ceed_data->elem_restr_qd_i); 323 324 // -- Operators 325 CeedOperatorDestroy(&ceed_data->op_setup_vol); 326 CeedOperatorDestroy(&ceed_data->op_ics); 327 CeedOperatorDestroy(&user->op_rhs_vol); 328 CeedOperatorDestroy(&user->op_ifunction_vol); 329 CeedOperatorDestroy(&user->op_rhs); 330 CeedOperatorDestroy(&user->op_ifunction); 331 332 // -- Ceed 333 CeedDestroy(&ceed); 334 335 // --------------------------------------------------------------------------- 336 // Clean up PETSc 337 // --------------------------------------------------------------------------- 338 // -- Vectors 339 ierr = VecDestroy(&Q); CHKERRQ(ierr); 340 ierr = VecDestroy(&user->M); CHKERRQ(ierr); 341 342 // -- Matrices 343 ierr = MatDestroy(&user->interp_viz); CHKERRQ(ierr); 344 345 // -- DM 346 ierr = DMDestroy(&dm); CHKERRQ(ierr); 347 ierr = DMDestroy(&user->dm_viz); CHKERRQ(ierr); 348 349 // -- TS 350 ierr = TSDestroy(&ts); CHKERRQ(ierr); 351 352 // -- Function list 353 ierr = PetscFunctionListDestroy(&app_ctx->problems); CHKERRQ(ierr); 354 355 // -- Structs 356 ierr = PetscFree(units); CHKERRQ(ierr); 357 ierr = PetscFree(user); CHKERRQ(ierr); 358 ierr = PetscFree(problem); CHKERRQ(ierr); 359 ierr = PetscFree(bc); CHKERRQ(ierr); 360 ierr = PetscFree(setup_ctx); CHKERRQ(ierr); 361 ierr = PetscFree(phys_ctx->newtonian_ig_ctx); CHKERRQ(ierr); 362 ierr = PetscFree(phys_ctx->euler_ctx); CHKERRQ(ierr); 363 ierr = PetscFree(phys_ctx->advection_ctx); CHKERRQ(ierr); 364 ierr = PetscFree(phys_ctx); CHKERRQ(ierr); 365 ierr = PetscFree(app_ctx); CHKERRQ(ierr); 366 ierr = PetscFree(ceed_data); CHKERRQ(ierr); 367 368 return PetscFinalize(); 369 } 370