xref: /libCEED/examples/fluids/navierstokes.c (revision ee4ca9cbfe2be39196684117442f3ce8d00b6506) !
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 Navier-Stokes problem.
11 //
12 // Build with:
13 //
14 //     make [PETSC_DIR=</path/to/petsc>] [CEED_DIR=</path/to/libceed>] navierstokes
15 //
16 // Sample runs:
17 //
18 //     ./navierstokes -ceed /cpu/self -problem density_current -degree 1
19 //     ./navierstokes -ceed /gpu/cuda -problem advection -degree 1
20 //
21 //TESTARGS(name="blasius_aniso_diff_filter") -ceed {ceed_resource} -test_type diff_filter -options_file examples/fluids/tests-output/blasius_test.yaml -compare_final_state_atol 5e-10 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius_diff_filter_aniso_vandriest.bin -diff_filter_monitor -ts_max_steps 0 -state_var primitive -diff_filter_friction_length 1e-5 -diff_filter_wall_damping_function van_driest -diff_filter_ksp_rtol 1e-8 -diff_filter_grid_based_width -diff_filter_width_scaling 1,0.7,1
22 //TESTARGS(name="blasius_iso_diff_filter") -ceed {ceed_resource} -test_type diff_filter -options_file examples/fluids/tests-output/blasius_test.yaml -compare_final_state_atol 2e-12 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius_diff_filter_iso.bin -diff_filter_monitor -ts_max_steps 0 -diff_filter_width_scaling 4.2e-5,4.2e-5,4.2e-5 -diff_filter_ksp_atol 1e-14 -diff_filter_ksp_rtol 1e-16
23 //TESTARGS(name="blasius_SGS_DataDriven") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/tests-output/blasius_stgtest.yaml -sgs_model_type data_driven -sgs_model_dd_leakyrelu_alpha 0.3 -sgs_model_dd_parameter_dir examples/fluids/dd_sgs_data -ts_dt 1e-9 -compare_final_state_atol 2e-12 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius-sgs-data-driven.bin -state_var primitive
24 //TESTARGS(name="gaussianwave_idl") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/gaussianwave.yaml -compare_final_state_atol 2e-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-gaussianwave-IDL.bin -dm_plex_box_faces 5,5,1 -ts_max_steps 5 -idl_decay_time 2e-3 -idl_length 0.25 -idl_start 0
25 //TESTARGS(name="turb_spanstats") -ceed {ceed_resource} -test_type turb_spanstats -options_file examples/fluids/tests-output/stats_test.yaml -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-turb-spanstats-stats.bin
26 //TESTARGS(name="blasius") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/tests-output/blasius_test.yaml -compare_final_state_atol 2E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius.bin
27 //TESTARGS(name="blasius_STG") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/tests-output/blasius_stgtest.yaml -compare_final_state_atol 2E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius_STG.bin
28 //TESTARGS(name="blasius_STG_weakT") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/tests-output/blasius_stgtest.yaml -compare_final_state_atol 1E-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius_STG_weakT.bin -weakT
29 //TESTARGS(name="blasius_STG_strongBC") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/tests-output/blasius_stgtest.yaml -compare_final_state_atol 1E-10 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-blasius_STG_strongBC.bin -stg_strong true
30 //TESTARGS(name="channel") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/channel.yaml -compare_final_state_atol 2e-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-channel.bin -dm_plex_box_faces 5,5,1 -ts_max_steps 5
31 //TESTARGS(name="channel-primitive") -ceed {ceed_resource} -test_type solver -options_file examples/fluids/channel.yaml -compare_final_state_atol 2e-11 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-channel-prim.bin -dm_plex_box_faces 5,5,1 -ts_max_steps 5 -state_var primitive
32 //TESTARGS(name="dc_explicit") -ceed {ceed_resource} -test_type solver -degree 3 -q_extra 2 -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
33 //TESTARGS(name="dc_implicit_stab_none") -ceed {ceed_resource} -test_type solver -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
34 //TESTARGS(name="adv_rotation_implicit_stab_supg") -ceed {ceed_resource} -test_type solver -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 -dm_mat_preallocate_skip 0 -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
35 //TESTARGS(name="adv_translation_implicit_stab_su") -ceed {ceed_resource} -test_type solver -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 -dm_mat_preallocate_skip 0 -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
36 //TESTARGS(name="adv2d_rotation_explicit_strong") -ceed {ceed_resource} -test_type solver -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
37 //TESTARGS(name="adv2d_rotation_implicit_stab_supg") -ceed {ceed_resource} -test_type solver -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 -dm_mat_preallocate_skip 0 -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
38 //TESTARGS(name="euler_implicit") -ceed {ceed_resource} -test_type solver -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 -dm_mat_preallocate_skip 0 -ts_type alpha -compare_final_state_atol 5E-4 -compare_final_state_filename examples/fluids/tests-output/fluids-navierstokes-euler-implicit.bin
39 //TESTARGS(name="euler_explicit") -ceed {ceed_resource} -test_type solver -problem euler_vortex -degree 3 -q_extra 2 -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
40 //TESTARGS(name="shocktube_explicit_su_yzb") -ceed {ceed_resource} -test_type solver -problem shocktube -degree 1 -q_extra 2 -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
41 
42 /// @file
43 /// Navier-Stokes example using PETSc
44 
45 const char help[] = "Solve Navier-Stokes using PETSc and libCEED\n";
46 
47 #include "navierstokes.h"
48 #include <ceed/sycl.h>
49 #include <petscdevice.h>
50 
51 #include <ceed.h>
52 #include <petscdmplex.h>
53 #include <petscts.h>
54 
55 int main(int argc, char **argv) {
56   // ---------------------------------------------------------------------------
57   // Initialize PETSc
58   // ---------------------------------------------------------------------------
59   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
60 
61   // ---------------------------------------------------------------------------
62   // Create structs
63   // ---------------------------------------------------------------------------
64   AppCtx app_ctx;
65   PetscCall(PetscCalloc1(1, &app_ctx));
66 
67   ProblemData *problem = NULL;
68   PetscCall(PetscCalloc1(1, &problem));
69 
70   User user;
71   PetscCall(PetscCalloc1(1, &user));
72 
73   CeedData ceed_data;
74   PetscCall(PetscCalloc1(1, &ceed_data));
75 
76   SimpleBC bc;
77   PetscCall(PetscCalloc1(1, &bc));
78 
79   Physics phys_ctx;
80   PetscCall(PetscCalloc1(1, &phys_ctx));
81 
82   Units units;
83   PetscCall(PetscCalloc1(1, &units));
84 
85   user->app_ctx        = app_ctx;
86   user->units          = units;
87   user->phys           = phys_ctx;
88   problem->bc_from_ics = PETSC_TRUE;
89 
90   PetscCall(RegisterLogEvents());
91 
92   // ---------------------------------------------------------------------------
93   // Process command line options
94   // ---------------------------------------------------------------------------
95   // -- Register problems to be available on the command line
96   PetscCall(RegisterProblems_NS(app_ctx));
97 
98   // -- Process general command line options
99   MPI_Comm comm = PETSC_COMM_WORLD;
100   user->comm    = comm;
101   PetscCall(ProcessCommandLineOptions(comm, app_ctx, bc));
102 
103   // ---------------------------------------------------------------------------
104   // Initialize libCEED
105   // ---------------------------------------------------------------------------
106   // -- Initialize backend
107   Ceed ceed;
108   CeedInit(app_ctx->ceed_resource, &ceed);
109   user->ceed = ceed;
110 
111   // -- Check preferred MemType
112   CeedMemType mem_type_backend;
113   CeedGetPreferredMemType(ceed, &mem_type_backend);
114 
115   {
116     const char *resource;
117     CeedGetResource(ceed, &resource);
118     if (strstr(resource, "/gpu/sycl")) {
119       PetscDeviceContext dctx;
120       PetscCall(PetscDeviceContextGetCurrentContext(&dctx));
121       void *stream_handle;
122       PetscCall(PetscDeviceContextGetStreamHandle(dctx, &stream_handle));
123       CeedSetSyclStream(ceed, stream_handle);
124     }
125   }
126 
127   // ---------------------------------------------------------------------------
128   // Set up global mesh
129   // ---------------------------------------------------------------------------
130   // -- Create DM
131   DM      dm;
132   VecType vec_type = NULL;
133   MatType mat_type = NULL;
134   switch (mem_type_backend) {
135     case CEED_MEM_HOST:
136       vec_type = VECSTANDARD;
137       break;
138     case CEED_MEM_DEVICE: {
139       const char *resolved;
140       CeedGetResource(ceed, &resolved);
141       if (strstr(resolved, "/gpu/cuda")) vec_type = VECCUDA;
142       else if (strstr(resolved, "/gpu/hip")) vec_type = VECKOKKOS;
143       else if (strstr(resolved, "/gpu/sycl")) vec_type = VECKOKKOS;
144       else vec_type = VECSTANDARD;
145     }
146   }
147   if (strstr(vec_type, VECCUDA)) mat_type = MATAIJCUSPARSE;
148   else if (strstr(vec_type, VECKOKKOS)) mat_type = MATAIJKOKKOS;
149   else mat_type = MATAIJ;
150   PetscCall(CreateDM(comm, problem, mat_type, vec_type, &dm));
151   user->dm = dm;
152   PetscCall(DMSetApplicationContext(dm, user));
153 
154   // ---------------------------------------------------------------------------
155   // Choose the problem from the list of registered problems
156   // ---------------------------------------------------------------------------
157   {
158     PetscErrorCode (*p)(ProblemData *, DM, void *, SimpleBC);
159     PetscCall(PetscFunctionListFind(app_ctx->problems, app_ctx->problem_name, &p));
160     PetscCheck(p, PETSC_COMM_SELF, 1, "Problem '%s' not found", app_ctx->problem_name);
161     PetscCall((*p)(problem, dm, &user, bc));
162   }
163 
164   // -- Set up DM
165   PetscCall(SetUpDM(dm, problem, app_ctx->degree, bc, phys_ctx));
166 
167   // -- Refine DM for high-order viz
168   if (app_ctx->viz_refine) PetscCall(VizRefineDM(dm, user, problem, bc, phys_ctx));
169 
170   // ---------------------------------------------------------------------------
171   // Create solution vectors
172   // ---------------------------------------------------------------------------
173   // -- Set up global state vector Q
174   Vec Q;
175   PetscCall(DMCreateGlobalVector(dm, &Q));
176   PetscCall(VecZeroEntries(Q));
177 
178   // -- Set up local state vectors Q_loc, Q_dot_loc
179   PetscCall(DMCreateLocalVector(dm, &user->Q_loc));
180   PetscCall(DMCreateLocalVector(dm, &user->Q_dot_loc));
181   PetscCall(VecZeroEntries(user->Q_dot_loc));
182 
183   // ---------------------------------------------------------------------------
184   // Set up libCEED
185   // ---------------------------------------------------------------------------
186   // -- Set up libCEED objects
187   PetscCall(SetupLibceed(ceed, ceed_data, dm, user, app_ctx, problem, bc));
188 
189   // ---------------------------------------------------------------------------
190   // Set up ICs
191   // ---------------------------------------------------------------------------
192   // -- Fix multiplicity for ICs
193   PetscCall(ICs_FixMultiplicity(dm, ceed_data, user, user->Q_loc, Q, 0.0));
194 
195   // ---------------------------------------------------------------------------
196   // Set up lumped mass matrix
197   // ---------------------------------------------------------------------------
198   // -- Set up global mass vector
199   PetscCall(VecDuplicate(Q, &user->M_inv));
200 
201   // -- Compute lumped mass matrix
202   PetscCall(ComputeLumpedMassMatrix(ceed, dm, ceed_data, user->M_inv));
203 
204   // ---------------------------------------------------------------------------
205   // Record boundary values from initial condition
206   // ---------------------------------------------------------------------------
207   // -- This overrides DMPlexInsertBoundaryValues().
208   //    We use this for the main simulation DM because the reference DMPlexInsertBoundaryValues() is very slow on the GPU due to extra device-to-host
209   //    communication. If we disable this, we should still get the same results due to the problem->bc function, but with potentially much slower
210   //    execution.
211   if (problem->bc_from_ics) {
212     PetscCall(SetBCsFromICs_NS(dm, Q, user->Q_loc));
213   }
214 
215   // ---------------------------------------------------------------------------
216   // Create output directory
217   // ---------------------------------------------------------------------------
218   PetscMPIInt rank;
219   MPI_Comm_rank(comm, &rank);
220   if (!rank) {
221     PetscCall(PetscMkdir(app_ctx->output_dir));
222   }
223 
224   // ---------------------------------------------------------------------------
225   // Gather initial Q values in case of continuation of simulation
226   // ---------------------------------------------------------------------------
227   // -- Set up initial values from binary file
228   if (app_ctx->cont_steps) {
229     PetscCall(SetupICsFromBinary(comm, app_ctx, Q));
230   }
231 
232   // ---------------------------------------------------------------------------
233   // Print problem summary
234   // ---------------------------------------------------------------------------
235   if (app_ctx->test_type == TESTTYPE_NONE) {
236     // Header and rank
237     char host_name[PETSC_MAX_PATH_LEN];
238     int  comm_size;
239     PetscCall(PetscGetHostName(host_name, sizeof host_name));
240     PetscCall(MPI_Comm_size(comm, &comm_size));
241     PetscCall(PetscPrintf(comm,
242                           "\n-- Navier-Stokes solver - libCEED + PETSc --\n"
243                           "  MPI:\n"
244                           "    Host Name                          : %s\n"
245                           "    Total ranks                        : %d\n",
246                           host_name, comm_size));
247 
248     // Problem specific info
249     PetscCall(problem->print_info(problem, app_ctx));
250 
251     // libCEED
252     const char *used_resource;
253     CeedGetResource(ceed, &used_resource);
254     PetscCall(PetscPrintf(comm,
255                           "  libCEED:\n"
256                           "    libCEED Backend                    : %s\n"
257                           "    libCEED Backend MemType            : %s\n",
258                           used_resource, CeedMemTypes[mem_type_backend]));
259     // PETSc
260     char box_faces_str[PETSC_MAX_PATH_LEN] = "3,3,3";
261     if (problem->dim == 2) box_faces_str[3] = '\0';
262     PetscCall(PetscOptionsGetString(NULL, NULL, "-dm_plex_box_faces", box_faces_str, sizeof(box_faces_str), NULL));
263     MatType mat_type;
264     VecType vec_type;
265     PetscCall(DMGetMatType(dm, &mat_type));
266     PetscCall(DMGetVecType(dm, &vec_type));
267     PetscCall(PetscPrintf(comm,
268                           "  PETSc:\n"
269                           "    Box Faces                          : %s\n"
270                           "    DM MatType                         : %s\n"
271                           "    DM VecType                         : %s\n"
272                           "    Time Stepping Scheme               : %s\n",
273                           box_faces_str, mat_type, vec_type, phys_ctx->implicit ? "implicit" : "explicit"));
274     if (app_ctx->cont_steps) {
275       PetscCall(PetscPrintf(comm,
276                             "  Continue:\n"
277                             "    Filename:                          : %s\n"
278                             "    Step:                              : %" PetscInt_FMT "\n"
279                             "    Time:                              : %g\n",
280                             app_ctx->cont_file, app_ctx->cont_steps, app_ctx->cont_time));
281     }
282     // Mesh
283     const PetscInt num_comp_q = 5;
284     CeedInt        glob_dofs, owned_dofs;
285     PetscInt       glob_nodes, local_nodes;
286     const CeedInt  num_P = app_ctx->degree + 1, num_Q = num_P + app_ctx->q_extra;
287     // -- Get global size
288     PetscCall(VecGetSize(Q, &glob_dofs));
289     PetscCall(VecGetLocalSize(Q, &owned_dofs));
290     glob_nodes = glob_dofs / num_comp_q;
291     // -- Get local size
292     PetscCall(VecGetSize(user->Q_loc, &local_nodes));
293     local_nodes /= num_comp_q;
294     PetscCall(PetscPrintf(comm,
295                           "  Mesh:\n"
296                           "    Number of 1D Basis Nodes (P)       : %" CeedInt_FMT "\n"
297                           "    Number of 1D Quadrature Points (Q) : %" CeedInt_FMT "\n"
298                           "    Global DoFs                        : %" PetscInt_FMT "\n"
299                           "    Owned DoFs                         : %" PetscInt_FMT "\n"
300                           "    DoFs per node                      : %" PetscInt_FMT "\n"
301                           "    Global nodes (DoFs / %" PetscInt_FMT ")            : %" PetscInt_FMT "\n"
302                           "    Local nodes                        : %" PetscInt_FMT "\n",
303                           num_P, num_Q, glob_dofs, owned_dofs, num_comp_q, num_comp_q, glob_nodes, local_nodes));
304   }
305   // -- Zero Q_loc
306   PetscCall(VecZeroEntries(user->Q_loc));
307 
308   // ---------------------------------------------------------------------------
309   // TS: Create, setup, and solve
310   // ---------------------------------------------------------------------------
311   TS          ts;
312   PetscScalar final_time;
313   PetscCall(TSSolve_NS(dm, user, app_ctx, phys_ctx, &Q, &final_time, &ts));
314 
315   // ---------------------------------------------------------------------------
316   // Post-processing
317   // ---------------------------------------------------------------------------
318   PetscCall(PostProcess_NS(ts, ceed_data, dm, problem, user, Q, final_time));
319 
320   // ---------------------------------------------------------------------------
321   // Destroy libCEED objects
322   // ---------------------------------------------------------------------------
323 
324   PetscCall(TurbulenceStatisticsDestroy(user, ceed_data));
325   PetscCall(NodalProjectionDataDestroy(user->grad_velo_proj));
326   PetscCall(SGS_DD_DataDestroy(user->sgs_dd_data));
327   PetscCall(DifferentialFilterDataDestroy(user->diff_filter));
328 
329   // -- Vectors
330   CeedVectorDestroy(&ceed_data->x_coord);
331   CeedVectorDestroy(&ceed_data->q_data);
332   CeedVectorDestroy(&user->q_ceed);
333   CeedVectorDestroy(&user->q_dot_ceed);
334   CeedVectorDestroy(&user->g_ceed);
335   CeedVectorDestroy(&user->coo_values_amat);
336   CeedVectorDestroy(&user->coo_values_pmat);
337 
338   // -- Bases
339   CeedBasisDestroy(&ceed_data->basis_q);
340   CeedBasisDestroy(&ceed_data->basis_x);
341   CeedBasisDestroy(&ceed_data->basis_xc);
342   CeedBasisDestroy(&ceed_data->basis_q_sur);
343   CeedBasisDestroy(&ceed_data->basis_x_sur);
344 
345   // -- Restrictions
346   CeedElemRestrictionDestroy(&ceed_data->elem_restr_q);
347   CeedElemRestrictionDestroy(&ceed_data->elem_restr_x);
348   CeedElemRestrictionDestroy(&ceed_data->elem_restr_qd_i);
349 
350   // Destroy QFunction contexts after using
351   // ToDo: Simplify tracked libCEED objects, smaller struct
352   {
353     CeedQFunctionContextDestroy(&problem->apply_inflow_jacobian.qfunction_context);
354     CeedQFunctionContextDestroy(&problem->apply_inflow_jacobian.qfunction_context);
355     CeedQFunctionContextDestroy(&problem->apply_outflow_jacobian.qfunction_context);
356     CeedQFunctionContextDestroy(&problem->apply_outflow_jacobian.qfunction_context);
357     CeedQFunctionContextDestroy(&problem->apply_freestream_jacobian.qfunction_context);
358     CeedQFunctionContextDestroy(&problem->apply_freestream_jacobian.qfunction_context);
359     CeedQFunctionContextDestroy(&problem->setup_sur.qfunction_context);
360     CeedQFunctionContextDestroy(&problem->setup_vol.qfunction_context);
361     CeedQFunctionContextDestroy(&problem->ics.qfunction_context);
362     CeedQFunctionContextDestroy(&problem->apply_vol_rhs.qfunction_context);
363     CeedQFunctionContextDestroy(&problem->apply_vol_ifunction.qfunction_context);
364     CeedQFunctionContextDestroy(&problem->apply_vol_ijacobian.qfunction_context);
365   }
366 
367   // -- QFunctions
368   CeedQFunctionDestroy(&ceed_data->qf_setup_vol);
369   CeedQFunctionDestroy(&ceed_data->qf_ics);
370   CeedQFunctionDestroy(&ceed_data->qf_rhs_vol);
371   CeedQFunctionDestroy(&ceed_data->qf_ifunction_vol);
372   CeedQFunctionDestroy(&ceed_data->qf_setup_sur);
373   CeedQFunctionDestroy(&ceed_data->qf_apply_inflow);
374   CeedQFunctionDestroy(&ceed_data->qf_apply_inflow_jacobian);
375   CeedQFunctionDestroy(&ceed_data->qf_apply_freestream);
376   CeedQFunctionDestroy(&ceed_data->qf_apply_freestream_jacobian);
377 
378   // -- Operators
379   CeedOperatorDestroy(&ceed_data->op_setup_vol);
380   PetscCall(OperatorApplyContextDestroy(ceed_data->op_ics_ctx));
381   CeedOperatorDestroy(&user->op_rhs_vol);
382   CeedOperatorDestroy(&user->op_ifunction_vol);
383   PetscCall(OperatorApplyContextDestroy(user->op_rhs_ctx));
384   CeedOperatorDestroy(&user->op_ifunction);
385   CeedOperatorDestroy(&user->op_ijacobian);
386 
387   // -- Ceed
388   CeedDestroy(&ceed);
389 
390   if (app_ctx->test_type != TESTTYPE_NONE) {
391     PetscInt num_options_left = 0;
392     PetscCall(PetscOptionsLeftGet(NULL, &num_options_left, NULL, NULL));
393     PetscCheck(num_options_left == 0, PETSC_COMM_WORLD, -1,
394                "There are unused options. This is not allowed. See error message for the unused options (or use -options_left directly)");
395   }
396 
397   // ---------------------------------------------------------------------------
398   // Clean up PETSc
399   // ---------------------------------------------------------------------------
400   // -- Vectors
401   PetscCall(VecDestroy(&Q));
402   PetscCall(VecDestroy(&user->M_inv));
403   PetscCall(VecDestroy(&user->Q_loc));
404   PetscCall(VecDestroy(&user->Q_dot_loc));
405 
406   // -- Matrices
407   PetscCall(MatDestroy(&user->interp_viz));
408 
409   // -- DM
410   PetscCall(DMDestroy(&dm));
411   PetscCall(DMDestroy(&user->dm_viz));
412 
413   // -- TS
414   PetscCall(TSDestroy(&ts));
415 
416   // -- Function list
417   PetscCall(PetscFunctionListDestroy(&app_ctx->problems));
418 
419   PetscCall(PetscFree(app_ctx->amat_type));
420   PetscCall(PetscFree(app_ctx->wall_forces.walls));
421   PetscCall(PetscViewerDestroy(&app_ctx->wall_forces.viewer));
422 
423   // -- Structs
424   PetscCall(PetscFree(units));
425   PetscCall(PetscFree(user));
426   PetscCall(PetscFree(problem));
427   PetscCall(PetscFree(bc));
428   PetscCall(PetscFree(phys_ctx));
429   PetscCall(PetscFree(app_ctx));
430   PetscCall(PetscFree(ceed_data));
431 
432   return PetscFinalize();
433 }
434