xref: /libCEED/examples/fluids/navierstokes.c (revision 4ea65e7b1ec39b273ebafce761ab65591b5c174d)
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 -snes_fd_color
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 -snes_fd_color
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   VecType vec_type = NULL;
111   MatType mat_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 = VECKOKKOS;
119     else vec_type = VECSTANDARD;
120   }
121   }
122   if (strstr(vec_type, VECCUDA)) mat_type = MATAIJCUSPARSE;
123   else if (strstr(vec_type, VECKOKKOS)) mat_type = MATAIJKOKKOS;
124   else mat_type = MATAIJ;
125   ierr = CreateDM(comm, problem, mat_type, vec_type, &dm); CHKERRQ(ierr);
126   user->dm = dm;
127 
128   // ---------------------------------------------------------------------------
129   // Choose the problem from the list of registered problems
130   // ---------------------------------------------------------------------------
131   {
132     PetscErrorCode (*p)(ProblemData *, DM, void *);
133     ierr = PetscFunctionListFind(app_ctx->problems, app_ctx->problem_name, &p);
134     CHKERRQ(ierr);
135     if (!p) SETERRQ(PETSC_COMM_SELF, 1, "Problem '%s' not found",
136                       app_ctx->problem_name);
137     ierr = (*p)(problem, dm, &user); CHKERRQ(ierr);
138   }
139 
140   // -- Set up DM
141   ierr = SetUpDM(dm, problem, app_ctx->degree, bc, phys_ctx);
142   CHKERRQ(ierr);
143 
144   // -- Refine DM for high-order viz
145   if (app_ctx->viz_refine) {
146     ierr = VizRefineDM(dm, user, problem, bc, phys_ctx);
147     CHKERRQ(ierr);
148   }
149 
150   // ---------------------------------------------------------------------------
151   // Set up libCEED
152   // ---------------------------------------------------------------------------
153   // -- Set up libCEED objects
154   ierr = SetupLibceed(ceed, ceed_data, dm, user, app_ctx, problem, bc);
155   CHKERRQ(ierr);
156 
157   // ---------------------------------------------------------------------------
158   // Set up ICs
159   // ---------------------------------------------------------------------------
160   // -- Set up global state vector Q
161   Vec Q;
162   ierr = DMCreateGlobalVector(dm, &Q); CHKERRQ(ierr);
163   ierr = VecZeroEntries(Q); CHKERRQ(ierr);
164 
165   // -- Set up local state vector Q_loc
166   Vec Q_loc;
167   ierr = DMGetLocalVector(dm, &Q_loc); CHKERRQ(ierr);
168 
169   // -- Fix multiplicity for ICs
170   ierr = ICs_FixMultiplicity(dm, ceed_data, user, Q_loc, Q, 0.0); CHKERRQ(ierr);
171 
172   // ---------------------------------------------------------------------------
173   // Set up lumped mass matrix
174   // ---------------------------------------------------------------------------
175   // -- Set up global mass vector
176   ierr = VecDuplicate(Q, &user->M); CHKERRQ(ierr);
177 
178   // -- Compute lumped mass matrix
179   ierr = ComputeLumpedMassMatrix(ceed, dm, ceed_data, user->M); CHKERRQ(ierr);
180 
181   // ---------------------------------------------------------------------------
182   // Record boundary values from initial condition
183   // ---------------------------------------------------------------------------
184   // -- This overrides DMPlexInsertBoundaryValues().
185   //    We use this for the main simulation DM because the reference
186   //    DMPlexInsertBoundaryValues() is very slow. If we disable this, we should
187   //    still get the same results due to the problem->bc function, but with
188   //    potentially much slower execution.
189   if (1) {ierr = SetBCsFromICs_NS(dm, Q, Q_loc); CHKERRQ(ierr);}
190 
191   // ---------------------------------------------------------------------------
192   // Create output directory
193   // ---------------------------------------------------------------------------
194   PetscMPIInt rank;
195   MPI_Comm_rank(comm, &rank);
196   if (!rank) {ierr = PetscMkdir(app_ctx->output_dir); CHKERRQ(ierr);}
197 
198   // ---------------------------------------------------------------------------
199   // Gather initial Q values in case of continuation of simulation
200   // ---------------------------------------------------------------------------
201   // -- Set up initial values from binary file
202   if (app_ctx->cont_steps) {
203     ierr = SetupICsFromBinary(comm, app_ctx, Q); CHKERRQ(ierr);
204   }
205 
206   // ---------------------------------------------------------------------------
207   // Print problem summary
208   // ---------------------------------------------------------------------------
209   if (!app_ctx->test_mode) {
210     // Header and rank
211     char host_name[PETSC_MAX_PATH_LEN];
212     int  comm_size;
213     ierr = PetscGetHostName(host_name, sizeof host_name); CHKERRQ(ierr);
214     ierr = MPI_Comm_size(comm, &comm_size); CHKERRQ(ierr);
215     ierr = PetscPrintf(comm,
216                        "\n-- Navier-Stokes solver - libCEED + PETSc --\n"
217                        "  MPI:\n"
218                        "    Host Name                          : %s\n"
219                        "    Total ranks                        : %d\n",
220                        host_name, comm_size); CHKERRQ(ierr);
221 
222     // Problem specific info
223     ierr = problem->print_info(problem, app_ctx); CHKERRQ(ierr);
224 
225     // libCEED
226     const char *used_resource;
227     CeedGetResource(ceed, &used_resource);
228     ierr = PetscPrintf(comm,
229                        "  libCEED:\n"
230                        "    libCEED Backend                    : %s\n"
231                        "    libCEED Backend MemType            : %s\n",
232                        used_resource, CeedMemTypes[mem_type_backend]); CHKERRQ(ierr);
233     // PETSc
234     char box_faces_str[PETSC_MAX_PATH_LEN] = "3,3,3";
235     if (problem->dim == 2) box_faces_str[3] = '\0';
236     ierr = PetscOptionsGetString(NULL, NULL, "-dm_plex_box_faces", box_faces_str,
237                                  sizeof(box_faces_str), NULL); CHKERRQ(ierr);
238     MatType mat_type;
239     VecType vec_type;
240     ierr = DMGetMatType(dm, &mat_type); CHKERRQ(ierr);
241     ierr = DMGetVecType(dm, &vec_type); CHKERRQ(ierr);
242     ierr = PetscPrintf(comm,
243                        "  PETSc:\n"
244                        "    Box Faces                          : %s\n"
245                        "    DM MatType                         : %s\n"
246                        "    DM VecType                         : %s\n"
247                        "    Time Stepping Scheme               : %s\n",
248                        box_faces_str, mat_type, vec_type,
249                        phys_ctx->implicit ? "implicit" : "explicit"); CHKERRQ(ierr);
250     // Mesh
251     const PetscInt num_comp_q = 5;
252     CeedInt        glob_dofs, owned_dofs;
253     PetscInt       glob_nodes, owned_nodes;
254     const CeedInt  num_P = app_ctx->degree + 1,
255                    num_Q = num_P + app_ctx->q_extra;
256     // -- Get global size
257     ierr = VecGetSize(Q, &glob_dofs); CHKERRQ(ierr);
258     ierr = VecGetLocalSize(Q, &owned_dofs); CHKERRQ(ierr);
259     glob_nodes = glob_dofs/num_comp_q;
260     // -- Get local size
261     ierr = VecGetSize(Q_loc, &owned_nodes); CHKERRQ(ierr);
262     owned_nodes /= num_comp_q;
263     ierr = PetscPrintf(comm,
264                        "  Mesh:\n"
265                        "    Number of 1D Basis Nodes (P)       : %d\n"
266                        "    Number of 1D Quadrature Points (Q) : %d\n"
267                        "    Global DoFs                        : %" PetscInt_FMT "\n"
268                        "    Owned DoFs                         : %" PetscInt_FMT "\n"
269                        "    DoFs per node                      : %" PetscInt_FMT "\n"
270                        "    Global nodes                       : %" PetscInt_FMT "\n"
271                        "    Owned nodes                        : %" PetscInt_FMT "\n",
272                        num_P, num_Q, glob_dofs, owned_dofs, num_comp_q,
273                        glob_nodes, owned_nodes); CHKERRQ(ierr);
274   }
275   // -- Restore Q_loc
276   ierr = DMRestoreLocalVector(dm, &Q_loc); CHKERRQ(ierr);
277 
278   // ---------------------------------------------------------------------------
279   // TS: Create, setup, and solve
280   // ---------------------------------------------------------------------------
281   TS ts;
282   PetscScalar final_time;
283   ierr = TSSolve_NS(dm, user, app_ctx, phys_ctx, &Q, &final_time, &ts);
284   CHKERRQ(ierr);
285 
286   // ---------------------------------------------------------------------------
287   // Post-processing
288   // ---------------------------------------------------------------------------
289   ierr = PostProcess_NS(ts, ceed_data, dm, problem, user, Q, final_time);
290   CHKERRQ(ierr);
291 
292   // ---------------------------------------------------------------------------
293   // Destroy libCEED objects
294   // ---------------------------------------------------------------------------
295   // -- Vectors
296   CeedVectorDestroy(&ceed_data->x_coord);
297   CeedVectorDestroy(&ceed_data->q_data);
298   CeedVectorDestroy(&user->q_ceed);
299   CeedVectorDestroy(&user->q_dot_ceed);
300   CeedVectorDestroy(&user->g_ceed);
301   CeedVectorDestroy(&user->coo_values);
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   CeedOperatorDestroy(&user->op_ijacobian);
332 
333   // -- Ceed
334   CeedDestroy(&ceed);
335 
336   // ---------------------------------------------------------------------------
337   // Clean up PETSc
338   // ---------------------------------------------------------------------------
339   // -- Vectors
340   ierr = VecDestroy(&Q); CHKERRQ(ierr);
341   ierr = VecDestroy(&user->M); CHKERRQ(ierr);
342 
343   // -- Matrices
344   ierr = MatDestroy(&user->interp_viz); CHKERRQ(ierr);
345 
346   // -- DM
347   ierr = DMDestroy(&dm); CHKERRQ(ierr);
348   ierr = DMDestroy(&user->dm_viz); CHKERRQ(ierr);
349 
350   // -- TS
351   ierr = TSDestroy(&ts); CHKERRQ(ierr);
352 
353   // -- Function list
354   ierr = PetscFunctionListDestroy(&app_ctx->problems); CHKERRQ(ierr);
355 
356   ierr = PetscFree(problem->bc_ctx); CHKERRQ(ierr);
357 
358   // -- Structs
359   ierr = PetscFree(units); CHKERRQ(ierr);
360   ierr = PetscFree(user); CHKERRQ(ierr);
361   ierr = PetscFree(problem); CHKERRQ(ierr);
362   ierr = PetscFree(bc); CHKERRQ(ierr);
363   ierr = PetscFree(phys_ctx); CHKERRQ(ierr);
364   ierr = PetscFree(app_ctx); CHKERRQ(ierr);
365   ierr = PetscFree(ceed_data); CHKERRQ(ierr);
366 
367   return PetscFinalize();
368 }
369