xref: /libCEED/examples/fluids/navierstokes.h (revision 019b76820d7ff306c177822c4e76ffe5939c204b)
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 #ifndef libceed_fluids_examples_navier_stokes_h
9 #define libceed_fluids_examples_navier_stokes_h
10 
11 #include <ceed.h>
12 #include <petscdm.h>
13 #include <petscdmplex.h>
14 #include <petscsys.h>
15 #include <petscts.h>
16 #include <stdbool.h>
17 
18 // -----------------------------------------------------------------------------
19 // PETSc Version
20 // -----------------------------------------------------------------------------
21 #if PETSC_VERSION_LT(3,17,0)
22 #error "PETSc v3.17 or later is required"
23 #endif
24 
25 // -----------------------------------------------------------------------------
26 // Enums
27 // -----------------------------------------------------------------------------
28 // Translate PetscMemType to CeedMemType
29 static inline CeedMemType MemTypeP2C(PetscMemType mem_type) {
30   return PetscMemTypeDevice(mem_type) ? CEED_MEM_DEVICE : CEED_MEM_HOST;
31 }
32 
33 // Advection - Wind Options
34 typedef enum {
35   WIND_ROTATION    = 0,
36   WIND_TRANSLATION = 1,
37 } WindType;
38 static const char *const WindTypes[] = {
39   "rotation",
40   "translation",
41   "WindType", "WIND_", NULL
42 };
43 
44 // Advection - Bubble Types
45 typedef enum {
46   BUBBLE_SPHERE   = 0, // dim=3
47   BUBBLE_CYLINDER = 1, // dim=2
48 } BubbleType;
49 static const char *const BubbleTypes[] = {
50   "sphere",
51   "cylinder",
52   "BubbleType", "BUBBLE_", NULL
53 };
54 
55 // Advection - Bubble Continuity Types
56 typedef enum {
57   BUBBLE_CONTINUITY_SMOOTH     = 0,  // Original continuous, smooth shape
58   BUBBLE_CONTINUITY_BACK_SHARP = 1,  // Discontinuous, sharp back half shape
59   BUBBLE_CONTINUITY_THICK      = 2,  // Define a finite thickness
60 } BubbleContinuityType;
61 static const char *const BubbleContinuityTypes[] = {
62   "smooth",
63   "back_sharp",
64   "thick",
65   "BubbleContinuityType", "BUBBLE_CONTINUITY_", NULL
66 };
67 
68 // Euler - test cases
69 typedef enum {
70   EULER_TEST_ISENTROPIC_VORTEX = 0,
71   EULER_TEST_1 = 1,
72   EULER_TEST_2 = 2,
73   EULER_TEST_3 = 3,
74   EULER_TEST_4 = 4,
75   EULER_TEST_5 = 5,
76 } EulerTestType;
77 static const char *const EulerTestTypes[] = {
78   "isentropic_vortex",
79   "test_1",
80   "test_2",
81   "test_3",
82   "test_4",
83   "test_5",
84   "EulerTestType", "EULER_TEST_", NULL
85 };
86 
87 // Stabilization methods
88 typedef enum {
89   STAB_NONE = 0,
90   STAB_SU   = 1, // Streamline Upwind
91   STAB_SUPG = 2, // Streamline Upwind Petrov-Galerkin
92 } StabilizationType;
93 static const char *const StabilizationTypes[] = {
94   "none",
95   "SU",
96   "SUPG",
97   "StabilizationType", "STAB_", NULL
98 };
99 
100 // -----------------------------------------------------------------------------
101 // Structs
102 // -----------------------------------------------------------------------------
103 // Structs declarations
104 typedef struct AppCtx_private    *AppCtx;
105 typedef struct CeedData_private  *CeedData;
106 typedef struct User_private      *User;
107 typedef struct Units_private     *Units;
108 typedef struct SimpleBC_private  *SimpleBC;
109 typedef struct Physics_private   *Physics;
110 
111 // Application context from user command line options
112 struct AppCtx_private {
113   // libCEED arguments
114   char              ceed_resource[PETSC_MAX_PATH_LEN]; // libCEED backend
115   PetscInt          degree;
116   PetscInt          q_extra;
117   // Post-processing arguments
118   PetscInt          output_freq;
119   PetscInt          viz_refine;
120   PetscInt          cont_steps;
121   char              output_dir[PETSC_MAX_PATH_LEN];
122   // Problem type arguments
123   PetscFunctionList problems;
124   char              problem_name[PETSC_MAX_PATH_LEN];
125   // Test mode arguments
126   PetscBool         test_mode;
127   PetscScalar       test_tol;
128   char              file_path[PETSC_MAX_PATH_LEN];
129 };
130 
131 // libCEED data struct
132 struct CeedData_private {
133   CeedVector           x_coord, q_data;
134   CeedQFunctionContext setup_context, newt_ig_context, advection_context,
135                        euler_context, shocktube_context, channel_context, blasius_context;
136   CeedQFunction        qf_setup_vol, qf_ics, qf_rhs_vol, qf_ifunction_vol,
137                        qf_setup_sur, qf_apply_inflow, qf_apply_outflow;
138   CeedBasis            basis_x, basis_xc, basis_q, basis_x_sur, basis_q_sur;
139   CeedElemRestriction  elem_restr_x, elem_restr_q, elem_restr_qd_i;
140   CeedOperator         op_setup_vol, op_ics;
141 };
142 
143 // PETSc user data
144 struct User_private {
145   MPI_Comm     comm;
146   DM           dm;
147   DM           dm_viz;
148   Mat          interp_viz;
149   Ceed         ceed;
150   Units        units;
151   Vec          M;
152   Physics      phys;
153   AppCtx       app_ctx;
154   CeedVector   q_ceed, q_dot_ceed, g_ceed;
155   CeedOperator op_rhs_vol, op_rhs, op_ifunction_vol, op_ifunction;
156 };
157 
158 // Units
159 struct Units_private {
160   // fundamental units
161   PetscScalar meter;
162   PetscScalar kilogram;
163   PetscScalar second;
164   PetscScalar Kelvin;
165   // derived units
166   PetscScalar Pascal;
167   PetscScalar J_per_kg_K;
168   PetscScalar m_per_squared_s;
169   PetscScalar W_per_m_K;
170   PetscScalar Joule;
171 };
172 
173 // Boundary conditions
174 struct SimpleBC_private {
175   PetscInt  num_wall,    // Number of faces with wall BCs
176             wall_comps[5], // An array of constrained component numbers
177             num_comps,
178             num_slip[3], // Number of faces with slip BCs
179             num_inflow,
180             num_outflow;
181   PetscInt  walls[16], slips[3][16], inflows[16], outflows[16];
182   PetscBool user_bc;
183 };
184 
185 // Initial conditions
186 #ifndef setup_context_struct
187 #define setup_context_struct
188 typedef struct SetupContext_ *SetupContext;
189 struct SetupContext_ {
190   CeedScalar theta0;
191   CeedScalar thetaC;
192   CeedScalar P0;
193   CeedScalar N;
194   CeedScalar cv;
195   CeedScalar cp;
196   CeedScalar g[3];
197   CeedScalar rc;
198   CeedScalar lx;
199   CeedScalar ly;
200   CeedScalar lz;
201   CeedScalar center[3];
202   CeedScalar dc_axis[3];
203   CeedScalar wind[3];
204   CeedScalar time;
205   CeedScalar mid_point;
206   CeedScalar P_high;
207   CeedScalar rho_high;
208   CeedScalar P_low;
209   CeedScalar rho_low;
210   int wind_type;              // See WindType: 0=ROTATION, 1=TRANSLATION
211   int bubble_type;            // See BubbleType: 0=SPHERE, 1=CYLINDER
212   int bubble_continuity_type; // See BubbleContinuityType: 0=SMOOTH, 1=BACK_SHARP 2=THICK
213 };
214 #endif
215 
216 // DENSITY_CURRENT
217 #ifndef dc_context_struct
218 #define dc_context_struct
219 typedef struct DCContext_ *DCContext;
220 struct DCContext_ {
221   CeedScalar lambda;
222   CeedScalar mu;
223   CeedScalar k;
224   CeedScalar cv;
225   CeedScalar cp;
226   CeedScalar g;
227   CeedScalar c_tau;
228   int stabilization; // See StabilizationType: 0=none, 1=SU, 2=SUPG
229 };
230 #endif
231 
232 // EULER_VORTEX
233 #ifndef euler_context_struct
234 #define euler_context_struct
235 typedef struct EulerContext_ *EulerContext;
236 struct EulerContext_ {
237   CeedScalar center[3];
238   CeedScalar curr_time;
239   CeedScalar vortex_strength;
240   CeedScalar c_tau;
241   CeedScalar mean_velocity[3];
242   bool implicit;
243   int euler_test;
244   int stabilization; // See StabilizationType: 0=none, 1=SU, 2=SUPG
245 };
246 #endif
247 
248 // SHOCKTUBE
249 #ifndef shocktube_context_struct
250 #define shocktube_context_struct
251 typedef struct ShockTubeContext_ *ShockTubeContext;
252 struct ShockTubeContext_ {
253   CeedScalar Cyzb;
254   CeedScalar Byzb;
255   CeedScalar c_tau;
256   bool implicit;
257   bool yzb;
258   int stabilization;
259 };
260 #endif
261 
262 // ADVECTION and ADVECTION2D
263 #ifndef advection_context_struct
264 #define advection_context_struct
265 typedef struct AdvectionContext_ *AdvectionContext;
266 struct AdvectionContext_ {
267   CeedScalar CtauS;
268   CeedScalar strong_form;
269   CeedScalar E_wind;
270   bool implicit;
271   int stabilization; // See StabilizationType: 0=none, 1=SU, 2=SUPG
272 };
273 #endif
274 
275 // Newtonian Ideal Gas
276 #ifndef newtonian_context_struct
277 #define newtonian_context_struct
278 typedef struct NewtonianIdealGasContext_ *NewtonianIdealGasContext;
279 struct NewtonianIdealGasContext_ {
280   CeedScalar lambda;
281   CeedScalar mu;
282   CeedScalar k;
283   CeedScalar cv;
284   CeedScalar cp;
285   CeedScalar g[3];
286   CeedScalar c_tau;
287   CeedScalar Ctau_t;
288   CeedScalar Ctau_v;
289   CeedScalar Ctau_C;
290   CeedScalar Ctau_M;
291   CeedScalar Ctau_E;
292   CeedScalar dt;
293   StabilizationType stabilization;
294 };
295 #endif
296 
297 #ifndef channel_context_struct
298 #define channel_context_struct
299 typedef struct ChannelContext_ *ChannelContext;
300 struct ChannelContext_ {
301   bool       implicit; // !< Using implicit timesteping or not
302   CeedScalar theta0;   // !< Reference temperature
303   CeedScalar P0;       // !< Reference Pressure
304   CeedScalar umax;     // !< Centerline velocity
305   CeedScalar center;   // !< Y Coordinate for center of channel
306   CeedScalar H;        // !< Channel half-height
307   CeedScalar B;        // !< Body-force driving the flow
308   struct NewtonianIdealGasContext_ newtonian_ctx;
309 };
310 #endif
311 
312 #ifndef blasius_context_struct
313 #define blasius_context_struct
314 typedef struct BlasiusContext_ *BlasiusContext;
315 struct BlasiusContext_ {
316   bool       implicit;  // !< Using implicit timesteping or not
317   bool       weakT;     // !< flag to set Temperature at inflow
318   CeedScalar delta0;    // !< Boundary layer height at inflow
319   CeedScalar Uinf;      // !< Velocity at boundary layer edge
320   CeedScalar P0;        // !< Pressure at outflow
321   CeedScalar theta0;    // !< Temperature at inflow
322   struct NewtonianIdealGasContext_ newtonian_ctx;
323 };
324 #endif
325 
326 // Struct that contains all enums and structs used for the physics of all problems
327 struct Physics_private {
328   BlasiusContext           blasius_ctx;
329   ChannelContext           channel_ctx;
330   NewtonianIdealGasContext newtonian_ig_ctx;
331   EulerContext             euler_ctx;
332   ShockTubeContext         shocktube_ctx;
333   AdvectionContext         advection_ctx;
334   WindType                 wind_type;
335   BubbleType               bubble_type;
336   BubbleContinuityType     bubble_continuity_type;
337   EulerTestType            euler_test;
338   StabilizationType        stab;
339   PetscBool                implicit;
340   PetscBool                has_curr_time;
341   PetscBool                has_neumann;
342   CeedContextFieldLabel    solution_time_label;
343   CeedContextFieldLabel    timestep_size_label;
344 };
345 
346 // Problem specific data
347 // *INDENT-OFF*
348 typedef struct {
349   CeedInt           dim, q_data_size_vol, q_data_size_sur;
350   CeedScalar        dm_scale;
351   CeedQFunctionUser setup_vol, setup_sur, ics, apply_vol_rhs, apply_vol_ifunction,
352                     apply_inflow, apply_outflow;
353   const char        *setup_vol_loc, *setup_sur_loc, *ics_loc,
354                     *apply_vol_rhs_loc, *apply_vol_ifunction_loc, *apply_inflow_loc, *apply_outflow_loc;
355   bool              non_zero_time;
356   PetscErrorCode    (*bc)(PetscInt, PetscReal, const PetscReal[], PetscInt,
357                           PetscScalar[], void *);
358   PetscErrorCode    (*setup_ctx)(Ceed, CeedData, AppCtx, SetupContext, Physics);
359   PetscErrorCode    (*print_info)(Physics, SetupContext, AppCtx);
360 } ProblemData;
361 // *INDENT-ON*
362 
363 // -----------------------------------------------------------------------------
364 // Set up problems
365 // -----------------------------------------------------------------------------
366 // Set up function for each problem
367 extern PetscErrorCode NS_CHANNEL(ProblemData *problem, DM dm,
368                                  void *setup_ctx, void *ctx);
369 extern PetscErrorCode NS_BLASIUS(ProblemData *problem, DM dm,
370                                  void *setup_ctx, void *ctx);
371 extern PetscErrorCode NS_NEWTONIAN_IG(ProblemData *problem, DM dm,
372                                       void *setup_ctx, void *ctx);
373 extern PetscErrorCode NS_DENSITY_CURRENT(ProblemData *problem, DM dm,
374     void *setup_ctx,
375     void *ctx);
376 
377 extern PetscErrorCode NS_EULER_VORTEX(ProblemData *problem, DM dm,
378                                       void *setup_ctx, void *ctx);
379 extern PetscErrorCode NS_SHOCKTUBE(ProblemData *problem, DM dm, void *setup_ctx,
380                                    void *ctx);
381 extern PetscErrorCode NS_ADVECTION(ProblemData *problem, DM dm, void *setup_ctx,
382                                    void *ctx);
383 extern PetscErrorCode NS_ADVECTION2D(ProblemData *problem, DM dm,
384                                      void *setup_ctx, void *ctx);
385 
386 // Set up context for each problem
387 extern PetscErrorCode SetupContext_CHANNEL(Ceed ceed, CeedData ceed_data,
388     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
389 
390 extern PetscErrorCode SetupContext_BLASIUS(Ceed ceed, CeedData ceed_data,
391     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
392 
393 extern PetscErrorCode SetupContext_NEWTONIAN_IG(Ceed ceed, CeedData ceed_data,
394     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
395 
396 extern PetscErrorCode SetupContext_DENSITY_CURRENT(Ceed ceed,
397     CeedData ceed_data, AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
398 
399 extern PetscErrorCode SetupContext_EULER_VORTEX(Ceed ceed, CeedData ceed_data,
400     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
401 
402 extern PetscErrorCode SetupContext_SHOCKTUBE(Ceed ceed, CeedData ceed_data,
403     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
404 
405 extern PetscErrorCode SetupContext_ADVECTION(Ceed ceed, CeedData ceed_data,
406     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
407 
408 extern PetscErrorCode SetupContext_ADVECTION2D(Ceed ceed, CeedData ceed_data,
409     AppCtx app_ctx, SetupContext setup_ctx, Physics phys);
410 
411 // Boundary condition function for each problem
412 extern PetscErrorCode BC_DENSITY_CURRENT(DM dm, SimpleBC bc, Physics phys,
413     void *setup_ctx);
414 
415 extern PetscErrorCode BC_EULER_VORTEX(DM dm, SimpleBC bc, Physics phys,
416                                       void *setup_ctx);
417 
418 extern PetscErrorCode BC_SHOCKTUBE(DM dm, SimpleBC bc, Physics phys,
419                                    void *setup_ctx);
420 
421 extern PetscErrorCode BC_ADVECTION(DM dm, SimpleBC bc, Physics phys,
422                                    void *setup_ctx);
423 
424 extern PetscErrorCode BC_ADVECTION2D(DM dm, SimpleBC bc, Physics phys,
425                                      void *setup_ctx);
426 
427 // Print function for each problem
428 extern PetscErrorCode PRINT_DENSITY_CURRENT(Physics phys,
429     SetupContext setup_ctx, AppCtx app_ctx);
430 
431 extern PetscErrorCode PRINT_EULER_VORTEX(Physics phys, SetupContext setup_ctx,
432     AppCtx app_ctx);
433 
434 extern PetscErrorCode PRINT_SHOCKTUBE(Physics phys, SetupContext setup_ctx,
435                                       AppCtx app_ctx);
436 
437 extern PetscErrorCode PRINT_ADVECTION(Physics phys, SetupContext setup_ctx,
438                                       AppCtx app_ctx);
439 
440 extern PetscErrorCode PRINT_ADVECTION2D(Physics phys, SetupContext setup_ctx,
441                                         AppCtx app_ctx);
442 
443 // -----------------------------------------------------------------------------
444 // libCEED functions
445 // -----------------------------------------------------------------------------
446 // Utility function - essential BC dofs are encoded in closure indices as -(i+1).
447 PetscInt Involute(PetscInt i);
448 
449 // Utility function to create local CEED restriction
450 PetscErrorCode CreateRestrictionFromPlex(Ceed ceed, DM dm, CeedInt height,
451     DMLabel domain_label, CeedInt value, CeedElemRestriction *elem_restr);
452 
453 // Utility function to get Ceed Restriction for each domain
454 PetscErrorCode GetRestrictionForDomain(Ceed ceed, DM dm, CeedInt height,
455                                        DMLabel domain_label, PetscInt value,
456                                        CeedInt Q, CeedInt q_data_size,
457                                        CeedElemRestriction *elem_restr_q,
458                                        CeedElemRestriction *elem_restr_x,
459                                        CeedElemRestriction *elem_restr_qd_i);
460 
461 // Utility function to create CEED Composite Operator for the entire domain
462 PetscErrorCode CreateOperatorForDomain(Ceed ceed, DM dm, SimpleBC bc,
463                                        CeedData ceed_data, Physics phys,
464                                        CeedOperator op_apply_vol, CeedInt height,
465                                        CeedInt P_sur, CeedInt Q_sur, CeedInt q_data_size_sur,
466                                        CeedOperator *op_apply);
467 
468 PetscErrorCode SetupLibceed(Ceed ceed, CeedData ceed_data, DM dm, User user,
469                             AppCtx app_ctx, ProblemData *problem, SimpleBC bc, SetupContext setup_ctx);
470 
471 // -----------------------------------------------------------------------------
472 // Time-stepping functions
473 // -----------------------------------------------------------------------------
474 // Compute mass matrix for explicit scheme
475 PetscErrorCode ComputeLumpedMassMatrix(Ceed ceed, DM dm, CeedData ceed_data,
476                                        Vec M);
477 
478 // RHS (Explicit time-stepper) function setup
479 PetscErrorCode RHS_NS(TS ts, PetscReal t, Vec Q, Vec G, void *user_data);
480 
481 // Implicit time-stepper function setup
482 PetscErrorCode IFunction_NS(TS ts, PetscReal t, Vec Q, Vec Q_dot, Vec G,
483                             void *user_data);
484 
485 // User provided TS Monitor
486 PetscErrorCode TSMonitor_NS(TS ts, PetscInt step_no, PetscReal time, Vec Q,
487                             void *ctx);
488 
489 // TS: Create, setup, and solve
490 PetscErrorCode TSSolve_NS(DM dm, User user, AppCtx app_ctx, Physics phys,
491                           Vec *Q, PetscScalar *f_time, TS *ts);
492 
493 // -----------------------------------------------------------------------------
494 // Setup DM
495 // -----------------------------------------------------------------------------
496 // Create mesh
497 PetscErrorCode CreateDM(MPI_Comm comm, ProblemData *problem, DM *dm);
498 
499 // Set up DM
500 PetscErrorCode SetUpDM(DM dm, ProblemData *problem, PetscInt degree,
501                        SimpleBC bc, Physics phys, void *setup_ctx);
502 
503 // Refine DM for high-order viz
504 PetscErrorCode VizRefineDM(DM dm, User user, ProblemData *problem,
505                            SimpleBC bc, Physics phys, void *setup_ctx);
506 
507 // -----------------------------------------------------------------------------
508 // Process command line options
509 // -----------------------------------------------------------------------------
510 // Register problems to be available on the command line
511 PetscErrorCode RegisterProblems_NS(AppCtx app_ctx);
512 
513 // Process general command line options
514 PetscErrorCode ProcessCommandLineOptions(MPI_Comm comm, AppCtx app_ctx,
515     SimpleBC bc);
516 
517 // -----------------------------------------------------------------------------
518 // Miscellaneous utility functions
519 // -----------------------------------------------------------------------------
520 PetscErrorCode ICs_FixMultiplicity(DM dm, CeedData ceed_data, Vec Q_loc, Vec Q,
521                                    CeedScalar time);
522 
523 PetscErrorCode DMPlexInsertBoundaryValues_NS(DM dm,
524     PetscBool insert_essential, Vec Q_loc, PetscReal time, Vec face_geom_FVM,
525     Vec cell_geom_FVM, Vec grad_FVM);
526 
527 // Compare reference solution values with current test run for CI
528 PetscErrorCode RegressionTests_NS(AppCtx app_ctx, Vec Q);
529 
530 // Get error for problems with exact solutions
531 PetscErrorCode GetError_NS(CeedData ceed_data, DM dm, AppCtx app_ctx, Vec Q,
532                            PetscScalar final_time);
533 
534 // Post-processing
535 PetscErrorCode PostProcess_NS(TS ts, CeedData ceed_data, DM dm,
536                               ProblemData *problem, AppCtx app_ctx,
537                               Vec Q, PetscScalar final_time);
538 
539 // -- Gather initial Q values in case of continuation of simulation
540 PetscErrorCode SetupICsFromBinary(MPI_Comm comm, AppCtx app_ctx, Vec Q);
541 
542 // Record boundary values from initial condition
543 PetscErrorCode SetBCsFromICs_NS(DM dm, Vec Q, Vec Q_loc);
544 
545 // -----------------------------------------------------------------------------
546 
547 #endif // libceed_fluids_examples_navier_stokes_h
548