xref: /libCEED/examples/fluids/navierstokes.c (revision 830d475402ac70f032075f2491baf97005b7c2df)
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 1E-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 //TESTARGS(name="blasius_STG") -ceed {ceed_resource} -test -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.bin
39 //TESTARGS(name="blasius_STG_weakT") -ceed {ceed_resource} -test -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
40 //TESTARGS(name="blasius_STG_strongBC") -ceed {ceed_resource} -test -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
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 
49 int main(int argc, char **argv) {
50   // ---------------------------------------------------------------------------
51   // Initialize PETSc
52   // ---------------------------------------------------------------------------
53   PetscInt ierr;
54   ierr = PetscInitialize(&argc, &argv, NULL, help);
55   if (ierr) return ierr;
56 
57   // ---------------------------------------------------------------------------
58   // Create structs
59   // ---------------------------------------------------------------------------
60   AppCtx app_ctx;
61   ierr = PetscCalloc1(1, &app_ctx); CHKERRQ(ierr);
62 
63   ProblemData *problem = NULL;
64   ierr = PetscCalloc1(1, &problem); CHKERRQ(ierr);
65 
66   User user;
67   ierr = PetscCalloc1(1, &user); CHKERRQ(ierr);
68 
69   CeedData ceed_data;
70   ierr = PetscCalloc1(1, &ceed_data); CHKERRQ(ierr);
71 
72   SimpleBC bc;
73   ierr = PetscCalloc1(1, &bc); CHKERRQ(ierr);
74 
75   Physics phys_ctx;
76   ierr = PetscCalloc1(1, &phys_ctx); CHKERRQ(ierr);
77 
78   Units units;
79   ierr = PetscCalloc1(1, &units); CHKERRQ(ierr);
80 
81   user->app_ctx = app_ctx;
82   user->units   = units;
83   user->phys    = phys_ctx;
84   problem->bc_from_ics = PETSC_TRUE;
85 
86   // ---------------------------------------------------------------------------
87   // Process command line options
88   // ---------------------------------------------------------------------------
89   // -- Register problems to be available on the command line
90   ierr = RegisterProblems_NS(app_ctx); CHKERRQ(ierr);
91 
92   // -- Process general command line options
93   MPI_Comm comm = PETSC_COMM_WORLD;
94   user->comm = comm;
95   ierr = ProcessCommandLineOptions(comm, app_ctx, bc); CHKERRQ(ierr);
96 
97   // ---------------------------------------------------------------------------
98   // Initialize libCEED
99   // ---------------------------------------------------------------------------
100   // -- Initialize backend
101   Ceed ceed;
102   CeedInit(app_ctx->ceed_resource, &ceed);
103   user->ceed = ceed;
104 
105   // -- Check preferred MemType
106   CeedMemType mem_type_backend;
107   CeedGetPreferredMemType(ceed, &mem_type_backend);
108 
109   // ---------------------------------------------------------------------------
110   // Set up global mesh
111   // ---------------------------------------------------------------------------
112   // -- Create DM
113   DM dm;
114   ierr = CreateDM(comm, problem, &dm); CHKERRQ(ierr);
115   VecType vec_type = NULL;
116   switch (mem_type_backend) {
117   case CEED_MEM_HOST: vec_type = VECSTANDARD; break;
118   case CEED_MEM_DEVICE: {
119     const char *resolved;
120     CeedGetResource(ceed, &resolved);
121     if (strstr(resolved, "/gpu/cuda")) vec_type = VECCUDA;
122     else if (strstr(resolved, "/gpu/hip")) vec_type = VECHIP;
123     else vec_type = VECSTANDARD;
124   }
125   }
126   ierr = DMSetVecType(dm, vec_type); CHKERRQ(ierr);
127   user->dm = dm;
128 
129   // ---------------------------------------------------------------------------
130   // Choose the problem from the list of registered problems
131   // ---------------------------------------------------------------------------
132   {
133     PetscErrorCode (*p)(ProblemData *, DM, void *);
134     ierr = PetscFunctionListFind(app_ctx->problems, app_ctx->problem_name, &p);
135     CHKERRQ(ierr);
136     if (!p) SETERRQ(PETSC_COMM_SELF, 1, "Problem '%s' not found",
137                       app_ctx->problem_name);
138     ierr = (*p)(problem, dm, &user); CHKERRQ(ierr);
139   }
140 
141   // -- Set up DM
142   ierr = SetUpDM(dm, problem, app_ctx->degree, bc, phys_ctx);
143   CHKERRQ(ierr);
144 
145   // -- Refine DM for high-order viz
146   if (app_ctx->viz_refine) {
147     ierr = VizRefineDM(dm, user, problem, bc, phys_ctx);
148     CHKERRQ(ierr);
149   }
150 
151   // ---------------------------------------------------------------------------
152   // Set up libCEED
153   // ---------------------------------------------------------------------------
154   // -- Set up libCEED objects
155   ierr = SetupLibceed(ceed, ceed_data, dm, user, app_ctx, problem, bc);
156   CHKERRQ(ierr);
157 
158   // ---------------------------------------------------------------------------
159   // Set up ICs
160   // ---------------------------------------------------------------------------
161   // -- Set up global state vector Q
162   Vec Q;
163   ierr = DMCreateGlobalVector(dm, &Q); CHKERRQ(ierr);
164   ierr = VecZeroEntries(Q); CHKERRQ(ierr);
165 
166   // -- Set up local state vector Q_loc
167   Vec Q_loc;
168   ierr = DMGetLocalVector(dm, &Q_loc); CHKERRQ(ierr);
169 
170   // -- Fix multiplicity for ICs
171   ierr = ICs_FixMultiplicity(dm, ceed_data, user, Q_loc, Q, 0.0); CHKERRQ(ierr);
172 
173   // ---------------------------------------------------------------------------
174   // Set up lumped mass matrix
175   // ---------------------------------------------------------------------------
176   // -- Set up global mass vector
177   ierr = VecDuplicate(Q, &user->M); CHKERRQ(ierr);
178 
179   // -- Compute lumped mass matrix
180   ierr = ComputeLumpedMassMatrix(ceed, dm, ceed_data, user->M); CHKERRQ(ierr);
181 
182   // ---------------------------------------------------------------------------
183   // Record boundary values from initial condition
184   // ---------------------------------------------------------------------------
185   // -- This overrides DMPlexInsertBoundaryValues().
186   //    We use this for the main simulation DM because the reference
187   //    DMPlexInsertBoundaryValues() is very slow. If we disable this, we should
188   //    still get the same results due to the problem->bc function, but with
189   //    potentially much slower execution.
190   if (problem->bc_from_ics) {
191     ierr = SetBCsFromICs_NS(dm, Q, Q_loc); CHKERRQ(ierr);
192   }
193 
194   // ---------------------------------------------------------------------------
195   // Create output directory
196   // ---------------------------------------------------------------------------
197   PetscMPIInt rank;
198   MPI_Comm_rank(comm, &rank);
199   if (!rank) {ierr = PetscMkdir(app_ctx->output_dir); CHKERRQ(ierr);}
200 
201   // ---------------------------------------------------------------------------
202   // Gather initial Q values in case of continuation of simulation
203   // ---------------------------------------------------------------------------
204   // -- Set up initial values from binary file
205   if (app_ctx->cont_steps) {
206     ierr = SetupICsFromBinary(comm, app_ctx, Q); CHKERRQ(ierr);
207   }
208 
209   // ---------------------------------------------------------------------------
210   // Print problem summary
211   // ---------------------------------------------------------------------------
212   if (!app_ctx->test_mode) {
213     // Header and rank
214     char host_name[PETSC_MAX_PATH_LEN];
215     int  comm_size;
216     ierr = PetscGetHostName(host_name, sizeof host_name); CHKERRQ(ierr);
217     ierr = MPI_Comm_size(comm, &comm_size); CHKERRQ(ierr);
218     ierr = PetscPrintf(comm,
219                        "\n-- Navier-Stokes solver - libCEED + PETSc --\n"
220                        "  MPI:\n"
221                        "    Host Name                          : %s\n"
222                        "    Total ranks                        : %d\n",
223                        host_name, comm_size); CHKERRQ(ierr);
224 
225     // Problem specific info
226     ierr = problem->print_info(problem, app_ctx); CHKERRQ(ierr);
227 
228     // libCEED
229     const char *used_resource;
230     CeedGetResource(ceed, &used_resource);
231     ierr = PetscPrintf(comm,
232                        "  libCEED:\n"
233                        "    libCEED Backend                    : %s\n"
234                        "    libCEED Backend MemType            : %s\n",
235                        used_resource, CeedMemTypes[mem_type_backend]); CHKERRQ(ierr);
236     // PETSc
237     char box_faces_str[PETSC_MAX_PATH_LEN] = "3,3,3";
238     if (problem->dim == 2) box_faces_str[3] = '\0';
239     ierr = PetscOptionsGetString(NULL, NULL, "-dm_plex_box_faces", box_faces_str,
240                                  sizeof(box_faces_str), NULL); CHKERRQ(ierr);
241     ierr = PetscPrintf(comm,
242                        "  PETSc:\n"
243                        "    Box Faces                          : %s\n"
244                        "    Time Stepping Scheme               : %s\n",
245                        box_faces_str, phys_ctx->implicit ? "implicit" : "explicit"); CHKERRQ(ierr);
246     // Mesh
247     const PetscInt num_comp_q = 5;
248     CeedInt        glob_dofs, owned_dofs;
249     PetscInt       glob_nodes, owned_nodes;
250     const CeedInt  num_P = app_ctx->degree + 1,
251                    num_Q = num_P + app_ctx->q_extra;
252     // -- Get global size
253     ierr = VecGetSize(Q, &glob_dofs); CHKERRQ(ierr);
254     ierr = VecGetLocalSize(Q, &owned_dofs); CHKERRQ(ierr);
255     glob_nodes = glob_dofs/num_comp_q;
256     // -- Get local size
257     ierr = VecGetSize(Q_loc, &owned_nodes); CHKERRQ(ierr);
258     owned_nodes /= num_comp_q;
259     ierr = PetscPrintf(comm,
260                        "  Mesh:\n"
261                        "    Number of 1D Basis Nodes (P)       : %d\n"
262                        "    Number of 1D Quadrature Points (Q) : %d\n"
263                        "    Global DoFs                        : %" PetscInt_FMT "\n"
264                        "    Owned DoFs                         : %" PetscInt_FMT "\n"
265                        "    DoFs per node                      : %" PetscInt_FMT "\n"
266                        "    Global nodes                       : %" PetscInt_FMT "\n"
267                        "    Owned nodes                        : %" PetscInt_FMT "\n",
268                        num_P, num_Q, glob_dofs, owned_dofs, num_comp_q,
269                        glob_nodes, owned_nodes); CHKERRQ(ierr);
270   }
271   // -- Restore Q_loc
272   ierr = DMRestoreLocalVector(dm, &Q_loc); CHKERRQ(ierr);
273 
274   // ---------------------------------------------------------------------------
275   // TS: Create, setup, and solve
276   // ---------------------------------------------------------------------------
277   TS ts;
278   PetscScalar final_time;
279   ierr = TSSolve_NS(dm, user, app_ctx, phys_ctx, &Q, &final_time, &ts);
280   CHKERRQ(ierr);
281 
282   // ---------------------------------------------------------------------------
283   // Post-processing
284   // ---------------------------------------------------------------------------
285   ierr = PostProcess_NS(ts, ceed_data, dm, problem, user, Q, final_time);
286   CHKERRQ(ierr);
287 
288   // ---------------------------------------------------------------------------
289   // Destroy libCEED objects
290   // ---------------------------------------------------------------------------
291   // -- Vectors
292   CeedVectorDestroy(&ceed_data->x_coord);
293   CeedVectorDestroy(&ceed_data->q_data);
294   CeedVectorDestroy(&user->q_ceed);
295   CeedVectorDestroy(&user->q_dot_ceed);
296   CeedVectorDestroy(&user->g_ceed);
297 
298   // -- QFunctions
299   CeedQFunctionDestroy(&ceed_data->qf_setup_vol);
300   CeedQFunctionDestroy(&ceed_data->qf_ics);
301   CeedQFunctionDestroy(&ceed_data->qf_rhs_vol);
302   CeedQFunctionDestroy(&ceed_data->qf_ifunction_vol);
303   CeedQFunctionDestroy(&ceed_data->qf_setup_sur);
304   CeedQFunctionDestroy(&ceed_data->qf_apply_inflow);
305   CeedQFunctionDestroy(&ceed_data->qf_apply_outflow);
306 
307   // -- Bases
308   CeedBasisDestroy(&ceed_data->basis_q);
309   CeedBasisDestroy(&ceed_data->basis_x);
310   CeedBasisDestroy(&ceed_data->basis_xc);
311   CeedBasisDestroy(&ceed_data->basis_q_sur);
312   CeedBasisDestroy(&ceed_data->basis_x_sur);
313 
314   // -- Restrictions
315   CeedElemRestrictionDestroy(&ceed_data->elem_restr_q);
316   CeedElemRestrictionDestroy(&ceed_data->elem_restr_x);
317   CeedElemRestrictionDestroy(&ceed_data->elem_restr_qd_i);
318 
319   // -- Operators
320   CeedOperatorDestroy(&ceed_data->op_setup_vol);
321   CeedOperatorDestroy(&ceed_data->op_ics);
322   CeedOperatorDestroy(&user->op_rhs_vol);
323   CeedOperatorDestroy(&user->op_ifunction_vol);
324   CeedOperatorDestroy(&user->op_rhs);
325   CeedOperatorDestroy(&user->op_ifunction);
326 
327   // -- Ceed
328   CeedDestroy(&ceed);
329 
330   // ---------------------------------------------------------------------------
331   // Clean up PETSc
332   // ---------------------------------------------------------------------------
333   // -- Vectors
334   ierr = VecDestroy(&Q); CHKERRQ(ierr);
335   ierr = VecDestroy(&user->M); CHKERRQ(ierr);
336 
337   // -- Matrices
338   ierr = MatDestroy(&user->interp_viz); CHKERRQ(ierr);
339 
340   // -- DM
341   ierr = DMDestroy(&dm); CHKERRQ(ierr);
342   ierr = DMDestroy(&user->dm_viz); CHKERRQ(ierr);
343 
344   // -- TS
345   ierr = TSDestroy(&ts); CHKERRQ(ierr);
346 
347   // -- Function list
348   ierr = PetscFunctionListDestroy(&app_ctx->problems); CHKERRQ(ierr);
349 
350   ierr = PetscFree(problem->bc_ctx); CHKERRQ(ierr);
351 
352   // -- Structs
353   ierr = PetscFree(units); CHKERRQ(ierr);
354   ierr = PetscFree(user); CHKERRQ(ierr);
355   ierr = PetscFree(problem); CHKERRQ(ierr);
356   ierr = PetscFree(bc); CHKERRQ(ierr);
357   ierr = PetscFree(phys_ctx); CHKERRQ(ierr);
358   ierr = PetscFree(app_ctx); CHKERRQ(ierr);
359   ierr = PetscFree(ceed_data); CHKERRQ(ierr);
360 
361   return PetscFinalize();
362 }
363