xref: /honee/problems/sgs_dd_model.c (revision 58e1cbfda2c067b7e8bf8571e993e896d411c8f5)

// Copyright (c) 2017-2023, Lawrence Livermore National Security, LLC and other CEED contributors.
// All Rights Reserved. See the top-level LICENSE and NOTICE files for details.
//
// SPDX-License-Identifier: BSD-2-Clause
//
// This file is part of CEED:  http://github.com/ceed

#include "../qfunctions/sgs_dd_model.h"

#include <petscdmplex.h>

#include "../navierstokes.h"

typedef struct {
  CeedElemRestriction  elem_restr_grid_aniso, elem_restr_sgs;
  CeedVector           grid_aniso_ceed;
  CeedQFunctionContext sgsdd_qfctx;
} *SgsDDModelSetupData;

PetscErrorCode SgsDDModelSetupDataDestroy(SgsDDModelSetupData sgs_dd_setup_data) {
  Ceed ceed;
  PetscFunctionBeginUser;
  PetscCall(CeedElemRestrictionGetCeed(sgs_dd_setup_data->elem_restr_sgs, &ceed));
  PetscCallCeed(ceed, CeedElemRestrictionDestroy(&sgs_dd_setup_data->elem_restr_grid_aniso));
  PetscCallCeed(ceed, CeedElemRestrictionDestroy(&sgs_dd_setup_data->elem_restr_sgs));
  PetscCallCeed(ceed, CeedVectorDestroy(&sgs_dd_setup_data->grid_aniso_ceed));
  PetscCallCeed(ceed, CeedQFunctionContextDestroy(&sgs_dd_setup_data->sgsdd_qfctx));

  PetscCall(PetscFree(sgs_dd_setup_data));
  PetscFunctionReturn(PETSC_SUCCESS);
}

// @brief Create DM for storing subgrid stress at nodes
PetscErrorCode SgsDDModelCreateDM(DM dm_source, DM *dm_sgs, PetscInt degree, PetscInt q_extra, PetscInt *num_components) {
  PetscSection section;

  PetscFunctionBeginUser;
  *num_components = 6;

  PetscCall(DMClone(dm_source, dm_sgs));
  PetscCall(PetscObjectSetName((PetscObject)*dm_sgs, "Subgrid Stress Projection"));

  PetscCall(DMSetupByOrder_FEM(PETSC_TRUE, PETSC_TRUE, degree, 1, q_extra, 1, num_components, *dm_sgs));

  PetscCall(DMGetLocalSection(*dm_sgs, &section));
  PetscCall(PetscSectionSetFieldName(section, 0, ""));
  PetscCall(PetscSectionSetComponentName(section, 0, 0, "KMSubgridStressXX"));
  PetscCall(PetscSectionSetComponentName(section, 0, 1, "KMSubgridStressYY"));
  PetscCall(PetscSectionSetComponentName(section, 0, 2, "KMSubgridStressZZ"));
  PetscCall(PetscSectionSetComponentName(section, 0, 3, "KMSubgridStressYZ"));
  PetscCall(PetscSectionSetComponentName(section, 0, 4, "KMSubgridStressXZ"));
  PetscCall(PetscSectionSetComponentName(section, 0, 5, "KMSubgridStressXY"));
  PetscFunctionReturn(PETSC_SUCCESS);
};

// @brief Create CeedOperator to calculate data-drive SGS at nodes
PetscErrorCode SgsDDModelSetupNodalEvaluation(Ceed ceed, User user, CeedData ceed_data, SgsDDModelSetupData sgs_dd_setup_data) {
  SgsDDData           sgs_dd_data = user->sgs_dd_data;
  CeedQFunction       qf_multiplicity, qf_sgs_dd_nodal;
  CeedOperator        op_multiplicity, op_sgs_dd_nodal;
  CeedInt             num_comp_q, num_comp_grad_velo, num_comp_x, num_comp_grid_aniso;
  PetscInt            dim;
  CeedVector          multiplicity, inv_multiplicity;
  CeedElemRestriction elem_restr_inv_multiplicity, elem_restr_grad_velo, elem_restr_sgs;
  DMLabel             domain_label = NULL;
  PetscInt            label_value = 0, height = 0, dm_field = 0;

  PetscFunctionBeginUser;
  PetscCall(DMGetDimension(user->dm, &dim));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(ceed_data->elem_restr_x, &num_comp_x));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(ceed_data->elem_restr_q, &num_comp_q));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(sgs_dd_setup_data->elem_restr_grid_aniso, &num_comp_grid_aniso));

  {  // Get velocity gradient information
    CeedOperatorField op_field;
    PetscCallCeed(ceed, CeedOperatorGetFieldByName(user->grad_velo_proj->l2_rhs_ctx->op, "velocity gradient", &op_field));
    PetscCallCeed(ceed, CeedOperatorFieldGetElemRestriction(op_field, &elem_restr_grad_velo));
    PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(elem_restr_grad_velo, &num_comp_grad_velo));
  }
  PetscCall(DMPlexCeedElemRestrictionCreate(ceed, sgs_dd_data->dm_sgs, domain_label, label_value, height, dm_field, &elem_restr_sgs));
  PetscCallCeed(ceed, CeedElemRestrictionCreateVector(elem_restr_sgs, &sgs_dd_data->sgs_nodal_ceed, NULL));

  // -- Create inverse multiplicity for correcting nodal assembly
  PetscCallCeed(ceed, CeedElemRestrictionCreateVector(ceed_data->elem_restr_q, &multiplicity, NULL));
  PetscCallCeed(ceed, CeedElemRestrictionGetMultiplicity(ceed_data->elem_restr_q, multiplicity));
  PetscCall(DMPlexCeedElemRestrictionCollocatedCreate(ceed, sgs_dd_data->dm_sgs, domain_label, label_value, height, 1, &elem_restr_inv_multiplicity));
  PetscCallCeed(ceed, CeedElemRestrictionCreateVector(elem_restr_inv_multiplicity, &inv_multiplicity, NULL));

  PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, InverseMultiplicity, InverseMultiplicity_loc, &qf_multiplicity));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_multiplicity, "multiplicity", num_comp_q, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_multiplicity, "inverse multiplicity", 1, CEED_EVAL_NONE));

  PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_multiplicity, NULL, NULL, &op_multiplicity));
  PetscCallCeed(ceed, CeedOperatorSetName(op_multiplicity, "SGS DD Model - Create Multiplicity Scaling"));
  PetscCallCeed(ceed, CeedOperatorSetField(op_multiplicity, "multiplicity", ceed_data->elem_restr_q, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE));
  PetscCallCeed(ceed,
                CeedOperatorSetField(op_multiplicity, "inverse multiplicity", elem_restr_inv_multiplicity, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE));

  PetscCallCeed(ceed, CeedOperatorApply(op_multiplicity, multiplicity, inv_multiplicity, CEED_REQUEST_IMMEDIATE));

  // -- Create operator for SGS DD model nodal evaluation
  switch (user->phys->state_var) {
    case STATEVAR_PRIMITIVE:
      PetscCallCeed(ceed,
                    CeedQFunctionCreateInterior(ceed, 1, ComputeSgsDDAnisotropicNodal_Prim, ComputeSgsDDAnisotropicNodal_Prim_loc, &qf_sgs_dd_nodal));
      break;
    case STATEVAR_CONSERVATIVE:
      PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, ComputeSgsDDAnisotropicNodal_Conserv, ComputeSgsDDAnisotropicNodal_Conserv_loc,
                                                      &qf_sgs_dd_nodal));
      break;
    default:
      SETERRQ(PetscObjectComm((PetscObject)user->dm), PETSC_ERR_SUP,
              "Anisotropic data-driven SGS nodal evaluation not available for chosen state variable");
  }

  // Mesh/geometry order and solution basis order may differ, therefore must interpolate
  CeedBasis basis_x_to_q;
  PetscCallCeed(ceed, CeedBasisCreateProjection(ceed_data->basis_x, ceed_data->basis_q, &basis_x_to_q));

  PetscCallCeed(ceed, CeedQFunctionSetContext(qf_sgs_dd_nodal, sgs_dd_setup_data->sgsdd_qfctx));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_dd_nodal, "q", num_comp_q, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_dd_nodal, "x", num_comp_x, CEED_EVAL_INTERP));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_dd_nodal, "gradient velocity", num_comp_grad_velo, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_dd_nodal, "anisotropy tensor", num_comp_grid_aniso, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_dd_nodal, "inverse multiplicity", 1, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_sgs_dd_nodal, "km_sgs", sgs_dd_data->num_comp_sgs, CEED_EVAL_NONE));

  PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_sgs_dd_nodal, NULL, NULL, &op_sgs_dd_nodal));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "q", ceed_data->elem_restr_q, CEED_BASIS_NONE, user->q_ceed));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "x", ceed_data->elem_restr_x, basis_x_to_q, ceed_data->x_coord));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "gradient velocity", elem_restr_grad_velo, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "anisotropy tensor", sgs_dd_setup_data->elem_restr_grid_aniso, CEED_BASIS_NONE,
                                           sgs_dd_setup_data->grid_aniso_ceed));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "inverse multiplicity", elem_restr_inv_multiplicity, CEED_BASIS_NONE, inv_multiplicity));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_dd_nodal, "km_sgs", elem_restr_sgs, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE));

  PetscCall(OperatorApplyContextCreate(user->grad_velo_proj->dm, sgs_dd_data->dm_sgs, ceed, op_sgs_dd_nodal, NULL, sgs_dd_data->sgs_nodal_ceed, NULL,
                                       NULL, &sgs_dd_data->op_nodal_evaluation_ctx));

  sgs_dd_setup_data->elem_restr_sgs = elem_restr_sgs;

  PetscCallCeed(ceed, CeedVectorDestroy(&multiplicity));
  PetscCallCeed(ceed, CeedVectorDestroy(&inv_multiplicity));
  PetscCallCeed(ceed, CeedBasisDestroy(&basis_x_to_q));
  PetscCallCeed(ceed, CeedElemRestrictionDestroy(&elem_restr_inv_multiplicity));
  PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_multiplicity));
  PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_sgs_dd_nodal));
  PetscCallCeed(ceed, CeedOperatorDestroy(&op_multiplicity));
  PetscCallCeed(ceed, CeedOperatorDestroy(&op_sgs_dd_nodal));
  PetscFunctionReturn(PETSC_SUCCESS);
}

// @brief Create CeedOperator to compute SGS contribution to the residual
PetscErrorCode SgsModelSetupNodalIFunction(Ceed ceed, User user, CeedData ceed_data, SgsDDModelSetupData sgs_dd_setup_data) {
  SgsDDData     sgs_dd_data = user->sgs_dd_data;
  CeedInt       num_comp_q, num_comp_qd, num_comp_x;
  PetscInt      dim;
  CeedQFunction qf_sgs_apply;
  CeedOperator  op_sgs_apply;
  CeedBasis     basis_sgs;

  PetscFunctionBeginUser;
  PetscCall(DMGetDimension(user->dm, &dim));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(ceed_data->elem_restr_q, &num_comp_q));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(ceed_data->elem_restr_qd_i, &num_comp_qd));
  PetscCallCeed(ceed, CeedElemRestrictionGetNumComponents(ceed_data->elem_restr_x, &num_comp_x));

  PetscCall(CreateBasisFromPlex(ceed, sgs_dd_data->dm_sgs, 0, 0, 0, 0, &basis_sgs));

  switch (user->phys->state_var) {
    case STATEVAR_PRIMITIVE:
      PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, IFunction_NodalSgs_Prim, IFunction_NodalSgs_Prim_loc, &qf_sgs_apply));
      break;
    case STATEVAR_CONSERVATIVE:
      PetscCallCeed(ceed, CeedQFunctionCreateInterior(ceed, 1, IFunction_NodalSgs_Conserv, IFunction_NodalSgs_Conserv_loc, &qf_sgs_apply));
      break;
    default:
      SETERRQ(PetscObjectComm((PetscObject)user->dm), PETSC_ERR_SUP, "Nodal SGS evaluation not available for chosen state variable");
  }

  PetscCallCeed(ceed, CeedQFunctionSetContext(qf_sgs_apply, sgs_dd_setup_data->sgsdd_qfctx));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_apply, "q", num_comp_q, CEED_EVAL_INTERP));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_apply, "qdata", num_comp_qd, CEED_EVAL_NONE));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_apply, "x", num_comp_x, CEED_EVAL_INTERP));
  PetscCallCeed(ceed, CeedQFunctionAddInput(qf_sgs_apply, "km_sgs", sgs_dd_data->num_comp_sgs, CEED_EVAL_INTERP));
  PetscCallCeed(ceed, CeedQFunctionAddOutput(qf_sgs_apply, "Grad_v", num_comp_q * dim, CEED_EVAL_GRAD));

  PetscCallCeed(ceed, CeedOperatorCreate(ceed, qf_sgs_apply, NULL, NULL, &op_sgs_apply));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_apply, "q", ceed_data->elem_restr_q, ceed_data->basis_q, CEED_VECTOR_ACTIVE));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_apply, "qdata", ceed_data->elem_restr_qd_i, CEED_BASIS_NONE, ceed_data->q_data));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_apply, "x", ceed_data->elem_restr_x, ceed_data->basis_x, ceed_data->x_coord));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_apply, "km_sgs", sgs_dd_setup_data->elem_restr_sgs, basis_sgs, sgs_dd_data->sgs_nodal_ceed));
  PetscCallCeed(ceed, CeedOperatorSetField(op_sgs_apply, "Grad_v", ceed_data->elem_restr_q, ceed_data->basis_q, CEED_VECTOR_ACTIVE));

  PetscCall(
      OperatorApplyContextCreate(user->dm, user->dm, ceed, op_sgs_apply, user->q_ceed, user->g_ceed, NULL, NULL, &sgs_dd_data->op_sgs_apply_ctx));

  PetscCallCeed(ceed, CeedOperatorDestroy(&op_sgs_apply));
  PetscCallCeed(ceed, CeedQFunctionDestroy(&qf_sgs_apply));
  PetscFunctionReturn(PETSC_SUCCESS);
}

// @brief Calculate and add data-driven SGS residual to the global residual
PetscErrorCode SgsDDModelApplyIFunction(User user, const Vec Q_loc, Vec G_loc) {
  SgsDDData    sgs_dd_data = user->sgs_dd_data;
  Vec          VelocityGradient, SGSNodal_loc;
  PetscMemType sgs_nodal_mem_type, q_mem_type;

  PetscFunctionBeginUser;
  PetscCall(DMGetGlobalVector(user->grad_velo_proj->dm, &VelocityGradient));
  PetscCall(VelocityGradientProjectionApply(user, Q_loc, VelocityGradient));

  // -- Compute Nodal SGS tensor
  PetscCall(DMGetLocalVector(sgs_dd_data->dm_sgs, &SGSNodal_loc));
  PetscCall(VecP2C(Q_loc, &q_mem_type, user->q_ceed));  // q_ceed is an implicit input

  PetscCall(ApplyCeedOperatorGlobalToLocal(VelocityGradient, SGSNodal_loc, sgs_dd_data->op_nodal_evaluation_ctx));

  PetscCall(VecC2P(user->q_ceed, q_mem_type, Q_loc));
  PetscCall(VecP2C(SGSNodal_loc, &sgs_nodal_mem_type, sgs_dd_data->sgs_nodal_ceed));  // sgs_nodal_ceed is an implicit input

  // -- Compute contribution of the SGS stress
  PetscCall(ApplyAddCeedOperatorLocalToLocal(Q_loc, G_loc, sgs_dd_data->op_sgs_apply_ctx));

  // -- Return local SGS vector
  PetscCall(VecC2P(sgs_dd_data->sgs_nodal_ceed, sgs_nodal_mem_type, SGSNodal_loc));
  PetscCall(DMRestoreLocalVector(sgs_dd_data->dm_sgs, &SGSNodal_loc));
  PetscCall(DMRestoreGlobalVector(user->grad_velo_proj->dm, &VelocityGradient));
  PetscFunctionReturn(PETSC_SUCCESS);
}

// @brief B = A^T, A is NxM, B is MxN
PetscErrorCode TransposeMatrix(const PetscScalar *A, PetscScalar *B, const PetscInt N, const PetscInt M) {
  PetscFunctionBeginUser;
  for (PetscInt i = 0; i < N; i++) {
    for (PetscInt j = 0; j < M; j++) {
      B[j * N + i] = A[i * M + j];
    }
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

// @brief Read neural network coefficients from file and put into context struct
PetscErrorCode SgsDDModelContextFill(MPI_Comm comm, char data_dir[PETSC_MAX_PATH_LEN], SgsDDModelContext *psgsdd_ctx) {
  SgsDDModelContext sgsdd_ctx;
  PetscInt          num_inputs = (*psgsdd_ctx)->num_inputs, num_outputs = (*psgsdd_ctx)->num_outputs, num_neurons = (*psgsdd_ctx)->num_neurons;
  char              file_path[PETSC_MAX_PATH_LEN];
  PetscScalar      *temp;

  PetscFunctionBeginUser;
  {
    SgsDDModelContext sgsdd_temp;
    PetscCall(PetscNew(&sgsdd_temp));
    *sgsdd_temp                     = **psgsdd_ctx;
    sgsdd_temp->offsets.bias1       = 0;
    sgsdd_temp->offsets.bias2       = sgsdd_temp->offsets.bias1 + num_neurons;
    sgsdd_temp->offsets.weight1     = sgsdd_temp->offsets.bias2 + num_neurons;
    sgsdd_temp->offsets.weight2     = sgsdd_temp->offsets.weight1 + num_neurons * num_inputs;
    sgsdd_temp->offsets.out_scaling = sgsdd_temp->offsets.weight2 + num_inputs * num_neurons;
    PetscInt total_num_scalars      = sgsdd_temp->offsets.out_scaling + 2 * num_outputs;
    sgsdd_temp->total_bytes         = sizeof(*sgsdd_ctx) + total_num_scalars * sizeof(sgsdd_ctx->data[0]);
    PetscCall(PetscMalloc(sgsdd_temp->total_bytes, &sgsdd_ctx));
    *sgsdd_ctx = *sgsdd_temp;
    PetscCall(PetscFree(sgsdd_temp));
  }

  PetscCall(PetscSNPrintf(file_path, sizeof file_path, "%s/%s", data_dir, "b1.dat"));
  PetscCall(PhastaDatFileReadToArrayReal(comm, file_path, &sgsdd_ctx->data[sgsdd_ctx->offsets.bias1]));
  PetscCall(PetscSNPrintf(file_path, sizeof file_path, "%s/%s", data_dir, "b2.dat"));
  PetscCall(PhastaDatFileReadToArrayReal(comm, file_path, &sgsdd_ctx->data[sgsdd_ctx->offsets.bias2]));
  PetscCall(PetscSNPrintf(file_path, sizeof file_path, "%s/%s", data_dir, "OutScaling.dat"));
  PetscCall(PhastaDatFileReadToArrayReal(comm, file_path, &sgsdd_ctx->data[sgsdd_ctx->offsets.out_scaling]));

  {
    PetscCall(PetscMalloc1(num_inputs * num_neurons, &temp));
    PetscCall(PetscSNPrintf(file_path, sizeof file_path, "%s/%s", data_dir, "w1.dat"));
    PetscCall(PhastaDatFileReadToArrayReal(comm, file_path, temp));
    PetscCall(TransposeMatrix(temp, &sgsdd_ctx->data[sgsdd_ctx->offsets.weight1], num_inputs, num_neurons));
    PetscCall(PetscFree(temp));
  }
  {
    PetscCall(PetscMalloc1(num_outputs * num_neurons, &temp));
    PetscCall(PetscSNPrintf(file_path, sizeof file_path, "%s/%s", data_dir, "w2.dat"));
    PetscCall(PhastaDatFileReadToArrayReal(comm, file_path, temp));
    PetscCall(TransposeMatrix(temp, &sgsdd_ctx->data[sgsdd_ctx->offsets.weight2], num_neurons, num_outputs));
    PetscCall(PetscFree(temp));
  }

  PetscCall(PetscFree(*psgsdd_ctx));
  *psgsdd_ctx = sgsdd_ctx;
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode SgsDDModelSetup(Ceed ceed, User user, CeedData ceed_data, ProblemData *problem) {
  PetscReal                alpha = 0;
  SgsDDModelContext        sgsdd_ctx;
  MPI_Comm                 comm                           = user->comm;
  char                     sgs_dd_dir[PETSC_MAX_PATH_LEN] = "./dd_sgs_parameters";
  SgsDDModelSetupData      sgs_dd_setup_data;
  NewtonianIdealGasContext gas;

  PetscFunctionBeginUser;
  PetscCall(VelocityGradientProjectionSetup(ceed, user, ceed_data, problem));

  PetscCall(PetscNew(&sgsdd_ctx));

  PetscOptionsBegin(comm, NULL, "SGS Data-Driven Model Options", NULL);
  PetscCall(PetscOptionsReal("-sgs_model_dd_leakyrelu_alpha", "Slope parameter for Leaky ReLU activation function", NULL, alpha, &alpha, NULL));
  PetscCall(PetscOptionsString("-sgs_model_dd_parameter_dir", "Path to directory with model parameters (weights, biases, etc.)", NULL, sgs_dd_dir,
                               sgs_dd_dir, sizeof(sgs_dd_dir), NULL));
  PetscOptionsEnd();

  sgsdd_ctx->num_layers  = 1;
  sgsdd_ctx->num_inputs  = 6;
  sgsdd_ctx->num_outputs = 6;
  sgsdd_ctx->num_neurons = 20;
  sgsdd_ctx->alpha       = alpha;

  PetscCall(SgsDDModelContextFill(comm, sgs_dd_dir, &sgsdd_ctx));

  // -- Create DM for storing SGS tensor at nodes
  PetscCall(PetscNew(&user->sgs_dd_data));
  PetscCall(
      SgsDDModelCreateDM(user->dm, &user->sgs_dd_data->dm_sgs, user->app_ctx->degree, user->app_ctx->q_extra, &user->sgs_dd_data->num_comp_sgs));

  PetscCall(PetscNew(&sgs_dd_setup_data));

  PetscCallCeed(ceed, CeedQFunctionContextGetDataRead(problem->apply_vol_ifunction.qfunction_context, CEED_MEM_HOST, &gas));
  sgsdd_ctx->gas = *gas;
  PetscCallCeed(ceed, CeedQFunctionContextRestoreDataRead(problem->apply_vol_ifunction.qfunction_context, &gas));
  PetscCallCeed(ceed, CeedQFunctionContextCreate(user->ceed, &sgs_dd_setup_data->sgsdd_qfctx));
  PetscCallCeed(ceed,
                CeedQFunctionContextSetData(sgs_dd_setup_data->sgsdd_qfctx, CEED_MEM_HOST, CEED_USE_POINTER, sgsdd_ctx->total_bytes, sgsdd_ctx));
  PetscCallCeed(ceed, CeedQFunctionContextSetDataDestroy(sgs_dd_setup_data->sgsdd_qfctx, CEED_MEM_HOST, FreeContextPetsc));

  // -- Compute and store anisotropy tensor
  PetscCall(GridAnisotropyTensorProjectionSetupApply(ceed, user, ceed_data, &sgs_dd_setup_data->elem_restr_grid_aniso,
                                                     &sgs_dd_setup_data->grid_aniso_ceed));

  // -- Create Nodal Evaluation Operator
  PetscCall(SgsDDModelSetupNodalEvaluation(ceed, user, ceed_data, sgs_dd_setup_data));

  // -- Create Operator to evalutate residual of SGS stress
  PetscCall(SgsModelSetupNodalIFunction(ceed, user, ceed_data, sgs_dd_setup_data));

  PetscCall(SgsDDModelSetupDataDestroy(sgs_dd_setup_data));
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode SgsDDDataDestroy(SgsDDData sgs_dd_data) {
  PetscFunctionBeginUser;
  if (!sgs_dd_data) PetscFunctionReturn(PETSC_SUCCESS);
  Ceed ceed = sgs_dd_data->op_sgs_apply_ctx->ceed;

  PetscCallCeed(ceed, CeedVectorDestroy(&sgs_dd_data->sgs_nodal_ceed));
  PetscCall(OperatorApplyContextDestroy(sgs_dd_data->op_nodal_evaluation_ctx));
  PetscCall(DMDestroy(&sgs_dd_data->dm_sgs));
  PetscCall(PetscFree(sgs_dd_data));
  PetscFunctionReturn(PETSC_SUCCESS);
}