xref: /libCEED/examples/fluids/src/turb_spanstats.c (revision 6665b873eac26fb4c2e4941787f12d9385420909)
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 /// @file
8 /// Functions for setting up and performing statistics collection
9 
10 #include "../qfunctions/turb_spanstats.h"
11 
12 #include <petscsf.h>
13 
14 #include "../include/matops.h"
15 #include "../navierstokes.h"
16 #include "ceed/ceed.h"
17 #include "petscerror.h"
18 #include "petsclog.h"
19 #include "petscmat.h"
20 #include "petscsys.h"
21 #include "petscvec.h"
22 #include "petscviewer.h"
23 
24 PetscErrorCode CreateStatsDM(User user, ProblemData *problem, PetscInt degree, SimpleBC bc) {
25   user->spanstats.num_comp_stats = TURB_NUM_COMPONENTS;
26   PetscReal     domain_min[3], domain_max[3];
27   PetscFE       fe;
28   PetscSection  section;
29   PetscLogStage stage_stats_setup;
30   MPI_Comm      comm = PetscObjectComm((PetscObject)user->dm);
31   PetscFunctionBeginUser;
32 
33   PetscCall(PetscLogStageGetId("Stats Setup", &stage_stats_setup));
34   if (stage_stats_setup == -1) PetscCall(PetscLogStageRegister("Stats Setup", &stage_stats_setup));
35   PetscCall(PetscLogStagePush(stage_stats_setup));
36 
37   // Get spanwise length
38   PetscCall(DMGetBoundingBox(user->dm, domain_min, domain_max));
39   user->spanstats.span_width = domain_max[2] - domain_min[1];
40 
41   {  // Get DM from surface
42     DM          parent_distributed_dm;
43     PetscSF     isoperiodicface;
44     DMLabel     label;
45     PetscMPIInt size;
46 
47     PetscCall(DMPlexGetIsoperiodicFaceSF(user->dm, &isoperiodicface));
48 
49     if (isoperiodicface) {
50       PetscSF         inv_isoperiodicface;
51       PetscInt        nleaves;
52       const PetscInt *ilocal;
53 
54       PetscCall(PetscSFCreateInverseSF(isoperiodicface, &inv_isoperiodicface));
55       PetscCall(PetscSFGetGraph(inv_isoperiodicface, NULL, &nleaves, &ilocal, NULL));
56       PetscCall(DMCreateLabel(user->dm, "Periodic Face"));
57       PetscCall(DMGetLabel(user->dm, "Periodic Face", &label));
58       for (PetscInt i = 0; i < nleaves; i++) {
59         PetscCall(DMLabelSetValue(label, ilocal[i], 1));
60       }
61     } else {
62       PetscCall(DMGetLabel(user->dm, "Face Sets", &label));
63     }
64 
65     PetscCall(DMPlexLabelComplete(user->dm, label));
66     PetscCall(DMPlexFilter(user->dm, label, 1, &user->spanstats.dm));
67     PetscCall(DMProjectCoordinates(user->spanstats.dm, NULL));  // Ensure that a coordinate FE exists
68 
69     PetscCall(DMPlexDistribute(user->spanstats.dm, 0, NULL, &parent_distributed_dm));
70     PetscCallMPI(MPI_Comm_size(comm, &size));
71     if (parent_distributed_dm) {
72       PetscCall(DMDestroy(&user->spanstats.dm));
73       user->spanstats.dm = parent_distributed_dm;
74     } else if (size > 1) {
75       PetscCall(PetscPrintf(comm, "WARNING: Turbulent spanwise statistics: parent DM could not be distributed accross %d ranks.\n", size));
76     }
77   }
78 
79   PetscCall(PetscObjectSetName((PetscObject)user->spanstats.dm, "Spanwise_Stats"));
80   PetscCall(DMSetOptionsPrefix(user->spanstats.dm, "turbulence_spanstats_"));
81   PetscCall(DMSetFromOptions(user->spanstats.dm));
82   PetscCall(DMViewFromOptions(user->spanstats.dm, NULL, "-dm_view"));  // -spanstats_dm_view
83 
84   // Create FE space for parent DM
85   PetscCall(PetscFECreateLagrange(PETSC_COMM_SELF, problem->dim - 1, user->spanstats.num_comp_stats, PETSC_FALSE, degree, PETSC_DECIDE, &fe));
86   PetscCall(PetscObjectSetName((PetscObject)fe, "stats"));
87   PetscCall(DMAddField(user->spanstats.dm, NULL, (PetscObject)fe));
88   PetscCall(DMCreateDS(user->spanstats.dm));
89   PetscCall(DMPlexSetClosurePermutationTensor(user->spanstats.dm, PETSC_DETERMINE, NULL));
90 
91   // Create Section for data
92   PetscCall(DMGetLocalSection(user->spanstats.dm, &section));
93   PetscCall(PetscSectionSetFieldName(section, 0, ""));
94   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_DENSITY, "MeanDensity"));
95   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_PRESSURE, "MeanPressure"));
96   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_PRESSURE_SQUARED, "MeanPressureSquared"));
97   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_PRESSURE_VELOCITY_X, "MeanPressureVelocityX"));
98   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_PRESSURE_VELOCITY_Y, "MeanPressureVelocityY"));
99   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_PRESSURE_VELOCITY_Z, "MeanPressureVelocityZ"));
100   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_DENSITY_TEMPERATURE, "MeanDensityTemperature"));
101   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_DENSITY_TEMPERATURE_FLUX_X, "MeanDensityTemperatureFluxX"));
102   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_DENSITY_TEMPERATURE_FLUX_Y, "MeanDensityTemperatureFluxY"));
103   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_DENSITY_TEMPERATURE_FLUX_Z, "MeanDensityTemperatureFluxZ"));
104   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUM_X, "MeanMomentumX"));
105   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUM_Y, "MeanMomentumY"));
106   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUM_Z, "MeanMomentumZ"));
107   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_XX, "MeanMomentumFluxXX"));
108   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_YY, "MeanMomentumFluxYY"));
109   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_ZZ, "MeanMomentumFluxZZ"));
110   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_YZ, "MeanMomentumFluxYZ"));
111   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_XZ, "MeanMomentumFluxXZ"));
112   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_MOMENTUMFLUX_XY, "MeanMomentumFluxXY"));
113   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_VELOCITY_X, "MeanVelocityX"));
114   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_VELOCITY_Y, "MeanVelocityY"));
115   PetscCall(PetscSectionSetComponentName(section, 0, TURB_MEAN_VELOCITY_Z, "MeanVelocityZ"));
116 
117   // Cleanup
118   PetscCall(PetscFEDestroy(&fe));
119 
120   PetscCall(PetscLogStagePop());
121   PetscFunctionReturn(0);
122 }
123 
124 // Create CeedElemRestriction for collocated data based on associated CeedBasis and CeedElemRestriction
125 // Number of quadrature points is used from the CeedBasis, and number of elements is used from the CeedElemRestriction
126 PetscErrorCode CreateElemRestrColloc(Ceed ceed, CeedInt num_comp, CeedBasis basis, CeedElemRestriction elem_restr_base,
127                                      CeedElemRestriction *elem_restr_collocated, CeedVector *l_vec, CeedVector *e_vec) {
128   CeedInt num_elem_qpts, loc_num_elem;
129   PetscFunctionBeginUser;
130 
131   CeedBasisGetNumQuadraturePoints(basis, &num_elem_qpts);
132   CeedElemRestrictionGetNumElements(elem_restr_base, &loc_num_elem);
133 
134   const CeedInt strides[] = {num_comp, 1, num_elem_qpts * num_comp};
135   CeedElemRestrictionCreateStrided(ceed, loc_num_elem, num_elem_qpts, num_comp, num_comp * loc_num_elem * num_elem_qpts, strides,
136                                    elem_restr_collocated);
137   CeedElemRestrictionCreateVector(*elem_restr_collocated, l_vec, e_vec);
138   PetscFunctionReturn(0);
139 }
140 
141 // Get coordinates of quadrature points
142 PetscErrorCode GetQuadratureCoords(Ceed ceed, DM dm, CeedElemRestriction elem_restr_x, CeedBasis basis_x, CeedVector x_coords, CeedVector *qx_coords,
143                                    PetscInt *total_nqpnts) {
144   CeedQFunction       qf_quad_coords;
145   CeedOperator        op_quad_coords;
146   PetscInt            num_comp_x, loc_num_elem, num_elem_qpts;
147   CeedElemRestriction elem_restr_qx;
148   PetscFunctionBeginUser;
149 
150   // Create Element Restriction and CeedVector for quadrature coordinates
151   CeedBasisGetNumQuadraturePoints(basis_x, &num_elem_qpts);
152   CeedElemRestrictionGetNumElements(elem_restr_x, &loc_num_elem);
153   CeedElemRestrictionGetNumComponents(elem_restr_x, &num_comp_x);
154   *total_nqpnts = num_elem_qpts * loc_num_elem;
155   PetscCall(CreateElemRestrColloc(ceed, num_comp_x, basis_x, elem_restr_x, &elem_restr_qx, qx_coords, NULL));
156 
157   // Create QFunction
158   CeedQFunctionCreateIdentity(ceed, num_comp_x, CEED_EVAL_INTERP, CEED_EVAL_NONE, &qf_quad_coords);
159 
160   // Create Operator
161   CeedOperatorCreate(ceed, qf_quad_coords, NULL, NULL, &op_quad_coords);
162   CeedOperatorSetField(op_quad_coords, "input", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE);
163   CeedOperatorSetField(op_quad_coords, "output", elem_restr_qx, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
164 
165   CeedOperatorApply(op_quad_coords, x_coords, *qx_coords, CEED_REQUEST_IMMEDIATE);
166 
167   CeedQFunctionDestroy(&qf_quad_coords);
168   CeedOperatorDestroy(&op_quad_coords);
169   PetscFunctionReturn(0);
170 }
171 
172 // Create PetscSF for child-to-parent communication
173 PetscErrorCode CreateStatsSF(Ceed ceed, CeedData ceed_data, DM parentdm, DM childdm, PetscSF statssf) {
174   PetscInt   child_num_qpnts, parent_num_qpnts, num_comp_x;
175   CeedVector child_qx_coords, parent_qx_coords;
176   PetscReal *child_coords, *parent_coords;
177   PetscFunctionBeginUser;
178 
179   // Assume that child and parent have the same number of components
180   CeedBasisGetNumComponents(ceed_data->basis_x, &num_comp_x);
181   const PetscInt num_comp_sf = num_comp_x - 1;  // Number of coord components used in the creation of the SF
182 
183   // Get quad_coords for child DM
184   PetscCall(GetQuadratureCoords(ceed, childdm, ceed_data->elem_restr_x, ceed_data->basis_x, ceed_data->x_coord, &child_qx_coords, &child_num_qpnts));
185 
186   // Get quad_coords for parent DM
187   PetscCall(GetQuadratureCoords(ceed, parentdm, ceed_data->spanstats.elem_restr_parent_x, ceed_data->spanstats.basis_x, ceed_data->spanstats.x_coord,
188                                 &parent_qx_coords, &parent_num_qpnts));
189 
190   // Remove z component of coordinates for matching
191   {
192     const PetscReal *child_quad_coords, *parent_quad_coords;
193 
194     CeedVectorGetArrayRead(child_qx_coords, CEED_MEM_HOST, &child_quad_coords);
195     CeedVectorGetArrayRead(parent_qx_coords, CEED_MEM_HOST, &parent_quad_coords);
196 
197     PetscCall(PetscMalloc2(child_num_qpnts * 2, &child_coords, parent_num_qpnts * 2, &parent_coords));
198     for (int i = 0; i < child_num_qpnts; i++) {
199       child_coords[0 + i * num_comp_sf] = child_quad_coords[0 + i * num_comp_x];
200       child_coords[1 + i * num_comp_sf] = child_quad_coords[1 + i * num_comp_x];
201     }
202     for (int i = 0; i < parent_num_qpnts; i++) {
203       parent_coords[0 + i * num_comp_sf] = parent_quad_coords[0 + i * num_comp_x];
204       parent_coords[1 + i * num_comp_sf] = parent_quad_coords[1 + i * num_comp_x];
205     }
206     CeedVectorRestoreArrayRead(child_qx_coords, &child_quad_coords);
207     CeedVectorRestoreArrayRead(parent_qx_coords, &parent_quad_coords);
208   }
209 
210   PetscCall(PetscSFSetGraphFromCoordinates(statssf, parent_num_qpnts, child_num_qpnts, num_comp_sf, 1e-12, parent_coords, child_coords));
211 
212   PetscCall(PetscSFViewFromOptions(statssf, NULL, "-spanstats_sf_view"));
213 
214   PetscCall(PetscFree2(child_coords, parent_coords));
215   CeedVectorDestroy(&child_qx_coords);
216   CeedVectorDestroy(&parent_qx_coords);
217   PetscFunctionReturn(0);
218 }
219 
220 // Compute mass matrix for statistics projection
221 PetscErrorCode SetupL2ProjectionStats(Ceed ceed, User user, CeedData ceed_data) {
222   CeedQFunction qf_mass;
223   CeedOperator  op_mass;
224   CeedInt       num_comp_q, q_data_size;
225   MPI_Comm      comm = PetscObjectComm((PetscObject)user->spanstats.dm);
226   PetscFunctionBeginUser;
227 
228   // CEED Restriction
229   CeedElemRestrictionGetNumComponents(ceed_data->spanstats.elem_restr_parent_stats, &num_comp_q);
230   CeedElemRestrictionGetNumComponents(ceed_data->spanstats.elem_restr_parent_qd, &q_data_size);
231 
232   // Create Mass CeedOperator
233   PetscCall(CreateMassQFunction(ceed, num_comp_q, q_data_size, &qf_mass));
234   CeedOperatorCreate(ceed, qf_mass, NULL, NULL, &op_mass);
235   CeedOperatorSetField(op_mass, "q", ceed_data->spanstats.elem_restr_parent_stats, ceed_data->spanstats.basis_stats, CEED_VECTOR_ACTIVE);
236   CeedOperatorSetField(op_mass, "qdata", ceed_data->spanstats.elem_restr_parent_qd, CEED_BASIS_COLLOCATED, ceed_data->spanstats.q_data);
237   CeedOperatorSetField(op_mass, "v", ceed_data->spanstats.elem_restr_parent_stats, ceed_data->spanstats.basis_stats, CEED_VECTOR_ACTIVE);
238 
239   {  // Setup KSP for L^2 projection
240     MatopApplyContext M_ctx;
241     PetscInt          l_size, g_size;
242     Mat               mat_mass;
243     VecType           vec_type;
244     KSP               ksp;
245     Vec               ones, M_inv;
246     CeedVector        x_ceed, y_ceed;
247 
248     PetscCall(DMCreateGlobalVector(user->spanstats.dm, &M_inv));
249     PetscCall(VecGetLocalSize(M_inv, &l_size));
250     PetscCall(VecGetSize(M_inv, &g_size));
251     PetscCall(VecGetType(M_inv, &vec_type));
252 
253     CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_stats, &x_ceed, NULL);
254     CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_stats, &y_ceed, NULL);
255     PetscCall(MatopApplyContextCreate(user->spanstats.dm, user->ceed, op_mass, x_ceed, y_ceed, NULL, &M_ctx));
256     CeedVectorDestroy(&x_ceed);
257     CeedVectorDestroy(&y_ceed);
258 
259     PetscCall(MatCreateShell(comm, l_size, l_size, g_size, g_size, M_ctx, &mat_mass));
260     PetscCall(MatShellSetContextDestroy(mat_mass, (PetscErrorCode(*)(void *))MatopApplyContextDestroy));
261     PetscCall(MatShellSetOperation(mat_mass, MATOP_MULT, (void (*)(void))MatMult_Ceed));
262     PetscCall(MatShellSetOperation(mat_mass, MATOP_GET_DIAGONAL, (void (*)(void))MatGetDiag_Ceed));
263     PetscCall(MatShellSetVecType(mat_mass, vec_type));
264 
265     // Create lumped mass matrix inverse
266     PetscCall(DMGetGlobalVector(user->spanstats.dm, &ones));
267     PetscCall(VecZeroEntries(M_inv));
268     PetscCall(VecSet(ones, 1));
269     PetscCall(MatMult(mat_mass, ones, M_inv));
270     PetscCall(VecReciprocal(M_inv));
271     user->spanstats.M_inv = M_inv;
272     PetscCall(DMRestoreGlobalVector(user->spanstats.dm, &ones));
273 
274     PetscCall(KSPCreate(comm, &ksp));
275     PetscCall(KSPSetOptionsPrefix(ksp, "turbulence_spanstats_"));
276     {
277       PC pc;
278       PetscCall(KSPGetPC(ksp, &pc));
279       PetscCall(PCSetType(pc, PCJACOBI));
280       PetscCall(PCJacobiSetType(pc, PC_JACOBI_DIAGONAL));
281       PetscCall(KSPSetType(ksp, KSPCG));
282       PetscCall(KSPSetNormType(ksp, KSP_NORM_NATURAL));
283       PetscCall(KSPSetTolerances(ksp, 1e-10, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT));
284     }
285     PetscCall(KSPSetOperators(ksp, mat_mass, mat_mass));
286     PetscCall(KSPSetFromOptions(ksp));
287     user->spanstats.ksp = ksp;
288   }
289 
290   // Cleanup
291   CeedQFunctionDestroy(&qf_mass);
292   CeedOperatorDestroy(&op_mass);
293   PetscFunctionReturn(0);
294 }
295 
296 // Create CeedOperators and KSP for the statistics collection and processing
297 PetscErrorCode CreateStatisticsOperators(Ceed ceed, User user, CeedData ceed_data, ProblemData *problem) {
298   CeedInt                     num_comp_stats = user->spanstats.num_comp_stats, num_comp_x = problem->dim, num_comp_q;
299   CeedOperator                op_setup_sur;
300   Turbulence_SpanStatsContext collect_ctx;
301   NewtonianIdealGasContext    newtonian_ig_ctx;
302   CeedQFunctionContext        collect_context;
303   PetscFunctionBeginUser;
304   CeedBasisGetNumComponents(ceed_data->basis_q, &num_comp_q);
305 
306   // Create Operator for statistics collection
307   switch (user->phys->state_var) {
308     case STATEVAR_PRIMITIVE:
309       CeedQFunctionCreateInterior(ceed, 1, ChildStatsCollection_Prim, ChildStatsCollection_Prim_loc, &ceed_data->spanstats.qf_stats_collect);
310       break;
311     case STATEVAR_CONSERVATIVE:
312       CeedQFunctionCreateInterior(ceed, 1, ChildStatsCollection_Conserv, ChildStatsCollection_Conserv_loc, &ceed_data->spanstats.qf_stats_collect);
313       break;
314   }
315 
316   if (user->spanstats.do_mms_test) {
317     CeedQFunctionDestroy(&ceed_data->spanstats.qf_stats_collect);
318     CeedQFunctionCreateInterior(ceed, 1, ChildStatsCollectionMMSTest, ChildStatsCollectionMMSTest_loc, &ceed_data->spanstats.qf_stats_collect);
319   }
320 
321   // Setup Collection Context
322   {
323     PetscCall(PetscNew(&collect_ctx));
324     CeedQFunctionContextGetData(problem->apply_vol_rhs.qfunction_context, CEED_MEM_HOST, &newtonian_ig_ctx);
325     collect_ctx->gas = *newtonian_ig_ctx;
326 
327     CeedQFunctionContextCreate(user->ceed, &collect_context);
328     CeedQFunctionContextSetData(collect_context, CEED_MEM_HOST, CEED_USE_POINTER, sizeof(*collect_ctx), collect_ctx);
329     CeedQFunctionContextSetDataDestroy(collect_context, CEED_MEM_HOST, FreeContextPetsc);
330 
331     CeedQFunctionContextRegisterDouble(collect_context, "solution time", offsetof(struct Turbulence_SpanStatsContext_, solution_time), 1,
332                                        "Current solution time");
333     CeedQFunctionContextRegisterDouble(collect_context, "previous time", offsetof(struct Turbulence_SpanStatsContext_, previous_time), 1,
334                                        "Previous time statistics collection was done");
335 
336     CeedQFunctionContextRestoreData(problem->apply_vol_rhs.qfunction_context, &newtonian_ig_ctx);
337   }
338 
339   CeedQFunctionSetContext(ceed_data->spanstats.qf_stats_collect, collect_context);
340   CeedQFunctionContextDestroy(&collect_context);
341   CeedQFunctionAddInput(ceed_data->spanstats.qf_stats_collect, "q", num_comp_q, CEED_EVAL_INTERP);
342   CeedQFunctionAddInput(ceed_data->spanstats.qf_stats_collect, "q_data", problem->q_data_size_vol, CEED_EVAL_NONE);
343   CeedQFunctionAddInput(ceed_data->spanstats.qf_stats_collect, "x", num_comp_x, CEED_EVAL_INTERP);
344   CeedQFunctionAddOutput(ceed_data->spanstats.qf_stats_collect, "v", num_comp_stats, CEED_EVAL_NONE);
345 
346   CeedOperatorCreate(ceed, ceed_data->spanstats.qf_stats_collect, NULL, NULL, &user->spanstats.op_stats_collect);
347   CeedOperatorSetField(user->spanstats.op_stats_collect, "q", ceed_data->elem_restr_q, ceed_data->basis_q, CEED_VECTOR_ACTIVE);
348   CeedOperatorSetField(user->spanstats.op_stats_collect, "q_data", ceed_data->elem_restr_qd_i, CEED_BASIS_COLLOCATED, ceed_data->q_data);
349   CeedOperatorSetField(user->spanstats.op_stats_collect, "x", ceed_data->elem_restr_x, ceed_data->basis_x, ceed_data->x_coord);
350   CeedOperatorSetField(user->spanstats.op_stats_collect, "v", ceed_data->spanstats.elem_restr_child_colloc, CEED_BASIS_COLLOCATED,
351                        CEED_VECTOR_ACTIVE);
352 
353   CeedOperatorContextGetFieldLabel(user->spanstats.op_stats_collect, "solution time", &user->spanstats.solution_time_label);
354   CeedOperatorContextGetFieldLabel(user->spanstats.op_stats_collect, "previous time", &user->spanstats.previous_time_label);
355 
356   // Create Operator for L^2 projection of statistics
357   // Simply take collocated parent data (with quadrature weight already applied) and multiply by weight function.
358   // Therefore, an Identity QF is sufficient
359   CeedQFunctionCreateIdentity(ceed, num_comp_stats, CEED_EVAL_NONE, CEED_EVAL_INTERP, &ceed_data->spanstats.qf_stats_proj);
360 
361   CeedOperatorCreate(ceed, ceed_data->spanstats.qf_stats_proj, NULL, NULL, &user->spanstats.op_stats_proj);
362   CeedOperatorSetField(user->spanstats.op_stats_proj, "input", ceed_data->spanstats.elem_restr_parent_colloc, CEED_BASIS_COLLOCATED,
363                        CEED_VECTOR_ACTIVE);
364   CeedOperatorSetField(user->spanstats.op_stats_proj, "output", ceed_data->spanstats.elem_restr_parent_stats, ceed_data->spanstats.basis_stats,
365                        CEED_VECTOR_ACTIVE);
366 
367   // Get q_data for lumped mass matrix formation
368   CeedOperatorCreate(ceed, ceed_data->qf_setup_sur, NULL, NULL, &op_setup_sur);
369   CeedOperatorSetField(op_setup_sur, "dx", ceed_data->spanstats.elem_restr_parent_x, ceed_data->spanstats.basis_x, CEED_VECTOR_ACTIVE);
370   CeedOperatorSetField(op_setup_sur, "weight", CEED_ELEMRESTRICTION_NONE, ceed_data->spanstats.basis_x, CEED_VECTOR_NONE);
371   CeedOperatorSetField(op_setup_sur, "surface qdata", ceed_data->spanstats.elem_restr_parent_qd, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
372   CeedOperatorApply(op_setup_sur, ceed_data->spanstats.x_coord, ceed_data->spanstats.q_data, CEED_REQUEST_IMMEDIATE);
373 
374   CeedOperatorDestroy(&op_setup_sur);
375   PetscFunctionReturn(0);
376 }
377 
378 // Creates operator for calculating error of method of manufactured solution (MMS) test
379 PetscErrorCode SetupMMSErrorChecking(Ceed ceed, User user, CeedData ceed_data) {
380   CeedInt       num_comp_stats = user->spanstats.num_comp_stats, num_comp_x;
381   CeedQFunction qf_error;
382   CeedOperator  op_error;
383   CeedInt       q_data_size;
384   CeedVector    x_ceed, y_ceed;
385   PetscFunctionBeginUser;
386 
387   CeedElemRestrictionGetNumComponents(ceed_data->spanstats.elem_restr_parent_qd, &q_data_size);
388   CeedBasisGetNumComponents(ceed_data->spanstats.basis_x, &num_comp_x);
389 
390   CeedQFunctionCreateInterior(ceed, 1, ChildStatsCollectionMMSTest_Error, ChildStatsCollectionMMSTest_Error_loc, &qf_error);
391   CeedQFunctionAddInput(qf_error, "q", num_comp_stats, CEED_EVAL_INTERP);
392   CeedQFunctionAddInput(qf_error, "qdata", q_data_size, CEED_EVAL_NONE);
393   CeedQFunctionAddInput(qf_error, "x", num_comp_x, CEED_EVAL_INTERP);
394   CeedQFunctionAddOutput(qf_error, "v", num_comp_stats, CEED_EVAL_INTERP);
395 
396   CeedOperatorCreate(ceed, qf_error, NULL, NULL, &op_error);
397   CeedOperatorSetField(op_error, "q", ceed_data->spanstats.elem_restr_parent_stats, ceed_data->spanstats.basis_stats, CEED_VECTOR_ACTIVE);
398   CeedOperatorSetField(op_error, "qdata", ceed_data->spanstats.elem_restr_parent_qd, CEED_BASIS_COLLOCATED, ceed_data->spanstats.q_data);
399   CeedOperatorSetField(op_error, "x", ceed_data->spanstats.elem_restr_parent_x, ceed_data->spanstats.basis_x, ceed_data->spanstats.x_coord);
400   CeedOperatorSetField(op_error, "v", ceed_data->spanstats.elem_restr_parent_stats, ceed_data->spanstats.basis_stats, CEED_VECTOR_ACTIVE);
401 
402   CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_stats, &x_ceed, NULL);
403   CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_stats, &y_ceed, NULL);
404   PetscCall(MatopApplyContextCreate(user->spanstats.dm, user->ceed, op_error, x_ceed, y_ceed, NULL, &user->spanstats.mms_error_ctx));
405 
406   CeedOperatorDestroy(&op_error);
407   CeedVectorDestroy(&x_ceed);
408   CeedVectorDestroy(&y_ceed);
409   PetscFunctionReturn(0);
410 }
411 
412 // Setup for statistics collection
413 PetscErrorCode SetupStatsCollection(Ceed ceed, User user, CeedData ceed_data, ProblemData *problem) {
414   DM                 dm   = user->spanstats.dm;
415   MPI_Comm           comm = PetscObjectComm((PetscObject)dm);
416   CeedInt            dim, P, Q, num_comp_x;
417   Vec                X_loc;
418   PetscMemType       X_loc_memtype;
419   const PetscScalar *X_loc_array;
420   PetscLogStage      stage_stats_setup;
421   PetscFunctionBeginUser;
422 
423   PetscCall(PetscLogStageGetId("Stats Setup", &stage_stats_setup));
424   if (stage_stats_setup == -1) PetscCall(PetscLogStageRegister("Stats Setup", &stage_stats_setup));
425   PetscCall(PetscLogStagePush(stage_stats_setup));
426 
427   PetscCall(DMGetDimension(dm, &dim));
428   CeedBasisGetNumQuadraturePoints1D(ceed_data->basis_q, &Q);
429   CeedBasisGetNumNodes1D(ceed_data->basis_q, &P);
430 
431   PetscCall(GetRestrictionForDomain(ceed, dm, 0, 0, 0, Q, problem->q_data_size_sur, &ceed_data->spanstats.elem_restr_parent_stats,
432                                     &ceed_data->spanstats.elem_restr_parent_x, &ceed_data->spanstats.elem_restr_parent_qd));
433   CeedElemRestrictionGetNumComponents(ceed_data->spanstats.elem_restr_parent_x, &num_comp_x);
434   CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_x, &ceed_data->spanstats.x_coord, NULL);
435   CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_stats, &user->spanstats.rhs_ceed, NULL);
436   CeedElemRestrictionCreateVector(ceed_data->spanstats.elem_restr_parent_qd, &ceed_data->spanstats.q_data, NULL);
437 
438   CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_x, 2, Q, CEED_GAUSS, &ceed_data->spanstats.basis_x);
439   CeedBasisCreateTensorH1Lagrange(ceed, dim, user->spanstats.num_comp_stats, P, Q, CEED_GAUSS, &ceed_data->spanstats.basis_stats);
440 
441   PetscCall(CreateElemRestrColloc(ceed, user->spanstats.num_comp_stats, ceed_data->spanstats.basis_stats,
442                                   ceed_data->spanstats.elem_restr_parent_stats, &ceed_data->spanstats.elem_restr_parent_colloc,
443                                   &user->spanstats.parent_stats, NULL));
444   PetscCall(CreateElemRestrColloc(ceed, user->spanstats.num_comp_stats, ceed_data->basis_q, ceed_data->elem_restr_q,
445                                   &ceed_data->spanstats.elem_restr_child_colloc, &user->spanstats.child_stats, NULL));
446   CeedVectorSetValue(user->spanstats.child_stats, 0);
447 
448   {  // -- Copy DM coordinates into CeedVector
449     DM cdm;
450     PetscCall(DMGetCellCoordinateDM(dm, &cdm));
451     if (cdm) {
452       PetscCall(DMGetCellCoordinatesLocal(dm, &X_loc));
453     } else {
454       PetscCall(DMGetCoordinatesLocal(dm, &X_loc));
455     }
456   }
457   PetscCall(VecScale(X_loc, problem->dm_scale));
458   PetscCall(VecGetArrayReadAndMemType(X_loc, &X_loc_array, &X_loc_memtype));
459   CeedVectorSetArray(ceed_data->spanstats.x_coord, MemTypeP2C(X_loc_memtype), CEED_COPY_VALUES, (PetscScalar *)X_loc_array);
460   PetscCall(VecRestoreArrayRead(X_loc, &X_loc_array));
461 
462   // Create SF for communicating child data back their respective parents
463   PetscCall(PetscSFCreate(comm, &user->spanstats.sf));
464   PetscCall(CreateStatsSF(ceed, ceed_data, user->dm, user->spanstats.dm, user->spanstats.sf));
465 
466   // Create CeedOperators for statistics collection
467   PetscCall(CreateStatisticsOperators(ceed, user, ceed_data, problem));
468 
469   // Setup KSP and Mat for L^2 projection of statistics
470   PetscCall(SetupL2ProjectionStats(ceed, user, ceed_data));
471 
472   PetscCall(PetscOptionsGetBool(NULL, NULL, "-ts_monitor_turbulence_spanstats_mms", &user->spanstats.do_mms_test, NULL));
473   if (user->spanstats.do_mms_test) {
474     PetscCall(SetupMMSErrorChecking(ceed, user, ceed_data));
475   }
476 
477   {  // Setup stats viewer with prefix
478     PetscViewerType viewer_type;
479     PetscCall(PetscViewerGetType(user->app_ctx->turb_spanstats_viewer, &viewer_type));
480     PetscCall(PetscOptionsSetValue(NULL, "-ts_monitor_turbulence_spanstats_viewer_type", viewer_type));
481 
482     PetscCall(PetscViewerSetOptionsPrefix(user->app_ctx->turb_spanstats_viewer, "ts_monitor_turbulence_spanstats_"));
483     PetscCall(PetscViewerSetFromOptions(user->app_ctx->turb_spanstats_viewer));
484   }
485 
486   PetscCall(PetscLogStagePop());
487   PetscFunctionReturn(0);
488 }
489 
490 // Collect statistics based on the solution Q
491 PetscErrorCode CollectStatistics(User user, PetscScalar solution_time, Vec Q) {
492   PetscMemType       q_mem_type;
493   const PetscScalar *q_arr;
494   PetscFunctionBeginUser;
495 
496   PetscLogStage stage_stats_collect;
497   PetscCall(PetscLogStageGetId("Stats Collect", &stage_stats_collect));
498   if (stage_stats_collect == -1) PetscCall(PetscLogStageRegister("Stats Collect", &stage_stats_collect));
499   PetscCall(PetscLogStagePush(stage_stats_collect));
500 
501   PetscCall(UpdateBoundaryValues(user, user->Q_loc, solution_time));
502   CeedOperatorContextSetDouble(user->spanstats.op_stats_collect, user->spanstats.solution_time_label, &solution_time);
503   PetscCall(DMGlobalToLocal(user->dm, Q, INSERT_VALUES, user->Q_loc));
504   PetscCall(VecGetArrayReadAndMemType(user->Q_loc, &q_arr, &q_mem_type));
505   CeedVectorSetArray(user->q_ceed, MemTypeP2C(q_mem_type), CEED_USE_POINTER, (PetscScalar *)q_arr);
506 
507   CeedOperatorApplyAdd(user->spanstats.op_stats_collect, user->q_ceed, user->spanstats.child_stats, CEED_REQUEST_IMMEDIATE);
508 
509   CeedVectorTakeArray(user->q_ceed, MemTypeP2C(q_mem_type), NULL);
510   PetscCall(VecRestoreArrayReadAndMemType(user->Q_loc, &q_arr));
511 
512   CeedOperatorContextSetDouble(user->spanstats.op_stats_collect, user->spanstats.previous_time_label, &solution_time);
513 
514   PetscCall(PetscLogStagePop());
515   PetscFunctionReturn(0);
516 }
517 
518 // Process the child statistics into parent statistics and project them onto stats
519 PetscErrorCode ProcessStatistics(User user, Vec stats) {
520   Span_Stats         user_stats = user->spanstats;
521   const PetscScalar *child_stats;
522   PetscScalar       *parent_stats;
523   MPI_Datatype       unit;
524   Vec                rhs_loc, rhs;
525   PetscMemType       rhs_mem_type;
526   CeedScalar        *rhs_arr;
527   CeedMemType        ceed_mem_type;
528   PetscFunctionBeginUser;
529 
530   PetscLogStage stage_stats_process;
531   PetscCall(PetscLogStageGetId("Stats Process", &stage_stats_process));
532   if (stage_stats_process == -1) PetscCall(PetscLogStageRegister("Stats Process", &stage_stats_process));
533   PetscCall(PetscLogStagePush(stage_stats_process));
534 
535   CeedGetPreferredMemType(user->ceed, &ceed_mem_type);
536   CeedVectorSetValue(user_stats.parent_stats, 0);
537 
538   CeedVectorGetArrayRead(user_stats.child_stats, ceed_mem_type, &child_stats);
539   CeedVectorGetArray(user_stats.parent_stats, ceed_mem_type, &parent_stats);
540 
541   if (user_stats.num_comp_stats == 1) unit = MPIU_REAL;
542   else {
543     PetscCallMPI(MPI_Type_contiguous(user_stats.num_comp_stats, MPIU_REAL, &unit));
544     PetscCallMPI(MPI_Type_commit(&unit));
545   }
546 
547   PetscCall(PetscSFReduceBegin(user_stats.sf, unit, child_stats, parent_stats, MPI_SUM));
548   PetscCall(PetscSFReduceEnd(user_stats.sf, unit, child_stats, parent_stats, MPI_SUM));
549 
550   CeedVectorRestoreArrayRead(user_stats.child_stats, &child_stats);
551   CeedVectorRestoreArray(user_stats.parent_stats, &parent_stats);
552   PetscCallMPI(MPI_Type_free(&unit));
553 
554   PetscReal solution_time;
555   PetscCall(DMGetOutputSequenceNumber(user_stats.dm, NULL, &solution_time));
556   PetscReal summing_duration = solution_time - user->app_ctx->cont_time;
557   CeedVectorScale(user_stats.parent_stats, 1 / (summing_duration * user_stats.span_width));
558 
559   // L^2 projection with the parent_data
560   PetscCall(DMGetLocalVector(user_stats.dm, &rhs_loc));
561   PetscCall(VecZeroEntries(rhs_loc));
562   PetscCall(VecGetArrayWriteAndMemType(rhs_loc, &rhs_arr, &rhs_mem_type));
563   CeedVectorSetArray(user_stats.rhs_ceed, MemTypeP2C(rhs_mem_type), CEED_USE_POINTER, (PetscScalar *)rhs_arr);
564 
565   CeedOperatorApply(user_stats.op_stats_proj, user_stats.parent_stats, user_stats.rhs_ceed, CEED_REQUEST_IMMEDIATE);
566 
567   CeedVectorTakeArray(user_stats.rhs_ceed, MemTypeP2C(rhs_mem_type), &rhs_arr);
568   PetscCall(VecRestoreArrayAndMemType(rhs_loc, &rhs_arr));
569 
570   PetscCall(DMGetGlobalVector(user_stats.dm, &rhs));
571   PetscCall(VecZeroEntries(rhs));
572   PetscCall(DMLocalToGlobal(user_stats.dm, rhs_loc, ADD_VALUES, rhs));
573   PetscCall(DMRestoreLocalVector(user_stats.dm, &rhs_loc));
574 
575   PetscCall(KSPSolve(user_stats.ksp, rhs, stats));
576 
577   PetscCall(DMRestoreGlobalVector(user_stats.dm, &rhs));
578   PetscCall(PetscLogStagePop());
579   PetscFunctionReturn(0);
580 }
581 
582 // TSMonitor for the statistics collection and processing
583 PetscErrorCode TSMonitor_Statistics(TS ts, PetscInt steps, PetscReal solution_time, Vec Q, void *ctx) {
584   User              user = (User)ctx;
585   Vec               stats;
586   TSConvergedReason reason;
587   PetscInt collect_interval = user->app_ctx->turb_spanstats_collect_interval, viewer_interval = user->app_ctx->turb_spanstats_viewer_interval;
588   PetscFunctionBeginUser;
589   PetscCall(TSGetConvergedReason(ts, &reason));
590   // Do not collect or process on the first step of the run (ie. on the initial condition)
591   if (steps == user->app_ctx->cont_steps && reason == TS_CONVERGED_ITERATING) PetscFunctionReturn(0);
592 
593   PetscBool run_processing_and_viewer = (steps % viewer_interval == 0 && viewer_interval != -1) || reason != TS_CONVERGED_ITERATING;
594 
595   if (steps % collect_interval == 0 || run_processing_and_viewer) {
596     PetscCall(CollectStatistics(user, solution_time, Q));
597 
598     if (run_processing_and_viewer) {
599       PetscCall(DMSetOutputSequenceNumber(user->spanstats.dm, steps, solution_time));
600       PetscCall(DMGetGlobalVector(user->spanstats.dm, &stats));
601       PetscCall(ProcessStatistics(user, stats));
602       if (user->app_ctx->test_type == TESTTYPE_NONE) {
603         PetscCall(PetscViewerPushFormat(user->app_ctx->turb_spanstats_viewer, user->app_ctx->turb_spanstats_viewer_format));
604         PetscCall(VecView(stats, user->app_ctx->turb_spanstats_viewer));
605         PetscCall(PetscViewerPopFormat(user->app_ctx->turb_spanstats_viewer));
606       }
607       if (user->app_ctx->test_type == TESTTYPE_TURB_SPANSTATS && reason != TS_CONVERGED_ITERATING) {
608         PetscCall(RegressionTests_NS(user->app_ctx, stats));
609       }
610       if (user->spanstats.do_mms_test && reason != TS_CONVERGED_ITERATING) {
611         Vec error;
612         PetscCall(VecDuplicate(stats, &error));
613         PetscCall(ApplyLocal_Ceed(stats, error, user->spanstats.mms_error_ctx));
614         PetscScalar error_sq = 0;
615         PetscCall(VecSum(error, &error_sq));
616         PetscScalar l2_error = sqrt(error_sq);
617         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "l2 error: %.5e\n", l2_error));
618       }
619       PetscCall(DMRestoreGlobalVector(user->spanstats.dm, &stats));
620     }
621   }
622   PetscFunctionReturn(0);
623 }
624 
625 PetscErrorCode DestroyStats(User user, CeedData ceed_data) {
626   PetscFunctionBeginUser;
627 
628   // -- CeedVectors
629   CeedVectorDestroy(&user->spanstats.child_stats);
630   CeedVectorDestroy(&user->spanstats.parent_stats);
631   CeedVectorDestroy(&user->spanstats.rhs_ceed);
632   CeedVectorDestroy(&user->spanstats.x_ceed);
633   CeedVectorDestroy(&user->spanstats.y_ceed);
634   CeedVectorDestroy(&ceed_data->spanstats.x_coord);
635   CeedVectorDestroy(&ceed_data->spanstats.q_data);
636 
637   // -- QFunctions
638   CeedQFunctionDestroy(&ceed_data->spanstats.qf_stats_collect);
639   CeedQFunctionDestroy(&ceed_data->spanstats.qf_stats_proj);
640 
641   // -- CeedBasis
642   CeedBasisDestroy(&ceed_data->spanstats.basis_stats);
643   CeedBasisDestroy(&ceed_data->spanstats.basis_x);
644 
645   // -- CeedElemRestriction
646   CeedElemRestrictionDestroy(&ceed_data->spanstats.elem_restr_parent_stats);
647   CeedElemRestrictionDestroy(&ceed_data->spanstats.elem_restr_parent_qd);
648   CeedElemRestrictionDestroy(&ceed_data->spanstats.elem_restr_parent_x);
649   CeedElemRestrictionDestroy(&ceed_data->spanstats.elem_restr_parent_colloc);
650   CeedElemRestrictionDestroy(&ceed_data->spanstats.elem_restr_child_colloc);
651 
652   // -- CeedOperators
653   CeedOperatorDestroy(&user->spanstats.op_stats_collect);
654   CeedOperatorDestroy(&user->spanstats.op_stats_proj);
655   PetscCall(MatopApplyContextDestroy(user->spanstats.mms_error_ctx));
656 
657   // -- Vec
658   PetscCall(VecDestroy(&user->spanstats.M_inv));
659 
660   // -- KSP
661   PetscCall(KSPDestroy(&user->spanstats.ksp));
662 
663   // -- SF
664   PetscCall(PetscSFDestroy(&user->spanstats.sf));
665 
666   // -- DM
667   PetscCall(DMDestroy(&user->spanstats.dm));
668 
669   PetscFunctionReturn(0);
670 }
671