ThermoElasticOps.hpp

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/** \file ThermoElasticOps.hpp
 * \example ThermoElasticOps.hpp
 */
 
namespace ThermoElasticOps {
 
using ScalerFunTwoArgs = boost::function<double(double, double)>;
 
struct BlockedThermalParameters
    : public boost::enable_shared_from_this<BlockedThermalParameters> {
  double heatConductivity;
  double heatConductivityScaling;
  double heatCapacity;
  double heatCapacityScaling;
 
  inline auto getHeatConductivityPtr() {
    return boost::shared_ptr<double>(shared_from_this(), &heatConductivity);
  }
 
  inline auto getHeatConductivityScalingPtr() {
    return boost::shared_ptr<double>(shared_from_this(),
                                     &heatConductivityScaling);
  }
 
  inline auto getHeatCapacityPtr() {
    return boost::shared_ptr<double>(shared_from_this(), &heatCapacity);
  }
 
  inline auto getHeatCapacityScalingPtr() {
    return boost::shared_ptr<double>(shared_from_this(), &heatCapacityScaling);
  }
};
 
MoFEMErrorCode addMatThermalBlockOps(
    MoFEM::Interface &m_field,
    boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
    std::string block_name,
    boost::shared_ptr<BlockedThermalParameters> blockedParamsPtr,
    double default_heat_conductivity, double default_heat_capacity,
    double default_thermal_conductivity_scale,
    double default_thermal_capacity_scale, Sev sev,
    ScalerFunTwoArgs thermal_conductivity_scaling_func,
    ScalerFunTwoArgs heat_capacity_scaling_func) {
  MoFEMFunctionBegin;
 
  double local_heat_conductivity = default_heat_conductivity;
  double local_heat_capacity = default_heat_capacity;
  double local_heat_conductivity_scale = default_thermal_conductivity_scale;
  double local_heat_capacity_scale = default_thermal_capacity_scale;
 
  struct OpMatThermalBlocks : public DomainEleOp {
    OpMatThermalBlocks(boost::shared_ptr<double> conductivity_ptr,
                       boost::shared_ptr<double> capacity_ptr,
                       boost::shared_ptr<double> heat_conductivity_scaling_ptr,
                       boost::shared_ptr<double> heat_capacity_scaling_ptr,
                       double local_heat_conductivity,
                       double local_heat_capacity,
                       double local_heat_conductivity_scale,
                       double local_heat_capacity_scale,
                       const ScalerFunTwoArgs &thermal_conductivity_scaling,
                       const ScalerFunTwoArgs &heat_capacity_scaling,
                       MoFEM::Interface &m_field, Sev sev,
                       std::vector<const CubitMeshSets *> meshset_vec_ptr)
        : DomainEleOp(NOSPACE, DomainEleOp::OPSPACE),
          conductivityPtr(conductivity_ptr), capacityPtr(capacity_ptr),
          conductivityScalingPtr(heat_conductivity_scaling_ptr),
          capacityScalingPtr(heat_capacity_scaling_ptr),
          defaultHeatConductivity(local_heat_conductivity),
          defaultHeatCapacity(local_heat_capacity),
          defaultHeatConductivityScale(local_heat_conductivity_scale),
          defaultHeatCapacityScale(local_heat_capacity_scale),
          thermalConductivityScaling(thermal_conductivity_scaling),
          heatCapacityScaling(heat_capacity_scaling) {
 
      CHK_THROW_MESSAGE(extractThermalBlockData(m_field, meshset_vec_ptr, sev),
                        "Cannot get data from thermal block");
    }
 
    MoFEMErrorCode doWork(int side, EntityType type,
                          EntitiesFieldData::EntData &data) {
      MoFEMFunctionBegin;
 
      auto scale_param = [this](auto parameter, double scaling) {
        return parameter * scaling;
      };
 
      for (auto &b : blockData) {
 
        if (b.blockEnts.find(getFEEntityHandle()) != b.blockEnts.end()) {
          *conductivityScalingPtr =
              thermalConductivityScaling(b.conductivity, b.capacity);
          *conductivityPtr =
              scale_param(b.conductivity, *conductivityScalingPtr);
          *capacityScalingPtr = heatCapacityScaling(b.conductivity, b.capacity);
          *capacityPtr = scale_param(b.capacity, *capacityScalingPtr);
          MoFEMFunctionReturnHot(0);
        }
      }
 
      *conductivityScalingPtr = thermalConductivityScaling(
          defaultHeatConductivity / defaultHeatConductivityScale,
          defaultHeatCapacity /
              defaultHeatCapacityScale); // Need to unscale the scaled values
                                         // for this scaling
      *conductivityPtr =
          scale_param(defaultHeatConductivity, *conductivityScalingPtr);
      *capacityScalingPtr = heatCapacityScaling(
          defaultHeatConductivity / defaultHeatConductivityScale,
          defaultHeatCapacity /
              defaultHeatCapacityScale); // Need to unscale the scaled values
                                         // for this scaling
      *capacityPtr = scale_param(defaultHeatCapacity, *capacityScalingPtr);
 
      MoFEMFunctionReturn(0);
    }
 
  private:
    double defaultHeatConductivity;
    double defaultHeatCapacity;
    double defaultHeatConductivityScale;
    double defaultHeatCapacityScale;
    ScalerFunTwoArgs thermalConductivityScaling;
    ScalerFunTwoArgs heatCapacityScaling;
    struct BlockData {
      double conductivity;
      double capacity;
      Range blockEnts;
    };
 
    std::vector<BlockData> blockData;
 
    MoFEMErrorCode
    extractThermalBlockData(MoFEM::Interface &m_field,
                            std::vector<const CubitMeshSets *> meshset_vec_ptr,
                            Sev sev) {
      MoFEMFunctionBegin;
 
      for (auto m : meshset_vec_ptr) {
        MOFEM_TAG_AND_LOG("WORLD", sev, "Mat Thermal Block") << *m;
        std::vector<double> block_data;
        CHKERR m->getAttributes(block_data);
        if (block_data.size() < 2) {
          SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                  "Expected that block has at least two attributes");
        }
        auto get_block_ents = [&]() {
          Range ents;
          CHKERR
          m_field.get_moab().get_entities_by_handle(m->meshset, ents, true);
          return ents;
        };
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "Mat Thermal Block")
            << m->getName() << ": conductivity = " << block_data[0]
            << " capacity  = " << block_data[1];
 
        blockData.push_back({block_data[0], block_data[1], get_block_ents()});
      }
      MOFEM_LOG_CHANNEL("WORLD");
      MoFEMFunctionReturn(0);
    }
 
    boost::shared_ptr<double> conductivityPtr;
    boost::shared_ptr<double> conductivityScalingPtr;
    boost::shared_ptr<double> capacityPtr;
    boost::shared_ptr<double> capacityScalingPtr;
  };
 
  pipeline.push_back(new OpMatThermalBlocks(
      blockedParamsPtr->getHeatConductivityPtr(),
      blockedParamsPtr->getHeatCapacityPtr(),
      blockedParamsPtr->getHeatConductivityScalingPtr(),
      blockedParamsPtr->getHeatCapacityScalingPtr(), local_heat_conductivity,
      local_heat_capacity, local_heat_conductivity_scale,
      local_heat_capacity_scale, thermal_conductivity_scaling_func,
      heat_capacity_scaling_func, m_field, sev,
 
      // Get blockset using regular expression
      m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
          (boost::format("%s(.*)") % block_name).str()
 
              ))
 
          ));
 
  MoFEMFunctionReturn(0);
}
 
struct BlockedThermoElasticParameters
    : public boost::enable_shared_from_this<BlockedThermoElasticParameters> {
  VectorDouble coeffExpansion;
  double refTemp;
 
  inline auto getCoeffExpansionPtr() {
    return boost::shared_ptr<VectorDouble>(shared_from_this(), &coeffExpansion);
  }
 
  inline auto getRefTempPtr() {
    return boost::shared_ptr<double>(shared_from_this(), &refTemp);
  }
};
 
MoFEMErrorCode addMatThermoElasticBlockOps(
    MoFEM::Interface &m_field,
    boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
    std::string block_name,
    boost::shared_ptr<BlockedThermoElasticParameters> blockedParamsPtr,
    double default_coeff_expansion, double default_ref_temp, Sev sev) {
  MoFEMFunctionBegin;
 
  double local_coeff_expansion = default_coeff_expansion;
  double local_ref_temp = default_ref_temp;
 
  struct OpMatThermoElasticBlocks : public DomainEleOp {
    OpMatThermoElasticBlocks(boost::shared_ptr<VectorDouble> expansion_ptr,
                             boost::shared_ptr<double> ref_temp_ptr,
                             double local_coeff_expansion,
                             double local_ref_temp, MoFEM::Interface &m_field,
                             Sev sev,
                             std::vector<const CubitMeshSets *> meshset_vec_ptr)
        : DomainEleOp(NOSPACE, DomainEleOp::OPSPACE),
          expansionPtr(expansion_ptr), refTempPtr(ref_temp_ptr),
          defaultCoeffExpansion(local_coeff_expansion),
          defaultRefTemp(local_ref_temp) {
      CHK_THROW_MESSAGE(
          extractThermoElasticBlockData(m_field, meshset_vec_ptr, sev),
          "Cannot get data from thermoelastic block");
    }
 
    MoFEMErrorCode doWork(int side, EntityType type,
                          EntitiesFieldData::EntData &data) {
      MoFEMFunctionBegin;
 
      for (auto &b : blockData) {
 
        if (b.blockEnts.find(getFEEntityHandle()) != b.blockEnts.end()) {
          *expansionPtr = b.expansion;
          *refTempPtr = b.ref_temp;
          MoFEMFunctionReturnHot(0);
        }
      }
 
      *expansionPtr = VectorDouble(SPACE_DIM, defaultCoeffExpansion);
      *refTempPtr = defaultRefTemp;
 
      MoFEMFunctionReturn(0);
    }
 
  private:
    double defaultCoeffExpansion;
    double defaultRefTemp;
    struct BlockData {
      double ref_temp;
      VectorDouble expansion;
      Range blockEnts;
    };
 
    std::vector<BlockData> blockData;
 
    MoFEMErrorCode extractThermoElasticBlockData(
        MoFEM::Interface &m_field,
        std::vector<const CubitMeshSets *> meshset_vec_ptr, Sev sev) {
      MoFEMFunctionBegin;
 
      for (auto m : meshset_vec_ptr) {
        MOFEM_TAG_AND_LOG("WORLD", sev, "Mat Thermoelastic Block") << *m;
        std::vector<double> block_data;
        CHKERR m->getAttributes(block_data);
        if (block_data.size() < 2) {
          SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                  "Expected that block has at least two attributes");
        }
        auto get_block_ents = [&]() {
          Range ents;
          CHKERR
          m_field.get_moab().get_entities_by_handle(m->meshset, ents, true);
          return ents;
        };
 
        auto get_expansion = [&]() {
          VectorDouble expansion(SPACE_DIM, block_data[1]);
          if (block_data.size() > 2) {
            expansion[1] = block_data[2];
          }
          if (SPACE_DIM == 3 && block_data.size() > 3) {
            expansion[2] = block_data[3];
          }
          return expansion;
        };
 
        auto coeff_exp_vec = get_expansion();
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "Mat Thermoelastic Block")
            << " ref_temp = " << block_data[0]
            << " expansion = " << coeff_exp_vec;
 
        blockData.push_back({block_data[0], coeff_exp_vec, get_block_ents()});
      }
      MOFEM_LOG_CHANNEL("WORLD");
      MoFEMFunctionReturn(0);
    }
 
    boost::shared_ptr<VectorDouble> expansionPtr;
    boost::shared_ptr<double> refTempPtr;
  };
 
  pipeline.push_back(new OpMatThermoElasticBlocks(
      blockedParamsPtr->getCoeffExpansionPtr(),
      blockedParamsPtr->getRefTempPtr(), local_coeff_expansion, local_ref_temp,
      m_field, sev,
 
      // Get blockset using regular expression
      m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
          (boost::format("%s(.*)") % block_name).str()
 
              ))
 
          ));
 
  MoFEMFunctionReturn(0);
}
 
struct OpKCauchyThermoElasticity : public AssemblyDomainEleOp {
  OpKCauchyThermoElasticity(
      const std::string row_field_name, const std::string col_field_name,
      boost::shared_ptr<MatrixDouble> mDptr,
      boost::shared_ptr<VectorDouble> coeff_expansion_ptr);
 
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data);
 
private:
  boost::shared_ptr<MatrixDouble> mDPtr;
  boost::shared_ptr<VectorDouble> coeffExpansionPtr;
};
 
struct OpStressThermal : public DomainEleOp {
  /**
   * @deprecated do not use this constructor
   */
  DEPRECATED
  OpStressThermal(const std::string field_name,
                  boost::shared_ptr<MatrixDouble> strain_ptr,
                  boost::shared_ptr<VectorDouble> temp_ptr,
                  boost::shared_ptr<MatrixDouble> m_D_ptr,
                  boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
                  boost::shared_ptr<MatrixDouble> stress_ptr);
 
  OpStressThermal(boost::shared_ptr<MatrixDouble> strain_ptr,
                  boost::shared_ptr<VectorDouble> temp_ptr,
                  boost::shared_ptr<MatrixDouble> m_D_ptr,
                  boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
                  boost::shared_ptr<double> ref_temp_ptr,
                  boost::shared_ptr<MatrixDouble> stress_ptr);
 
  MoFEMErrorCode doWork(int side, EntityType type, EntData &data);
 
private:
  boost::shared_ptr<MatrixDouble> strainPtr;
  boost::shared_ptr<VectorDouble> tempPtr;
  boost::shared_ptr<MatrixDouble> mDPtr;
  boost::shared_ptr<VectorDouble> coeffExpansionPtr;
  boost::shared_ptr<double> refTempPtr;
  boost::shared_ptr<MatrixDouble> stressPtr;
};
 
OpKCauchyThermoElasticity::OpKCauchyThermoElasticity(
    const std::string row_field_name, const std::string col_field_name,
    boost::shared_ptr<MatrixDouble> mDptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr)
    : AssemblyDomainEleOp(row_field_name, col_field_name,
                          DomainEleOp::OPROWCOL),
      mDPtr(mDptr), coeffExpansionPtr(coeff_expansion_ptr) {
  sYmm = false;
}
 
MoFEMErrorCode
OpKCauchyThermoElasticity::iNtegrate(EntitiesFieldData::EntData &row_data,
                                     EntitiesFieldData::EntData &col_data) {
  MoFEMFunctionBegin;
 
  auto &locMat = AssemblyDomainEleOp::locMat;
 
  const auto nb_integration_pts = row_data.getN().size1();
  const auto nb_row_base_functions = row_data.getN().size2();
  auto t_w = getFTensor0IntegrationWeight();
 
  auto t_row_diff_base = row_data.getFTensor1DiffN<SPACE_DIM>();
  auto t_D = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM, 0>(*mDPtr);
 
  FTensor::Index<'i', SPACE_DIM> i;
  FTensor::Index<'j', SPACE_DIM> j;
  FTensor::Index<'k', SPACE_DIM> k;
  FTensor::Index<'l', SPACE_DIM> l;
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_eigen_strain;
 
  auto t_coeff_exp = FTensor::Tensor2<double, SPACE_DIM, SPACE_DIM>();
  t_coeff_exp(i, j) = 0;
  for (auto d = 0; d != SPACE_DIM; ++d) {
    t_coeff_exp(d, d) = (*coeffExpansionPtr)[d];
  }
 
  t_eigen_strain(i, j) = (t_D(i, j, k, l) * t_coeff_exp(k, l));
 
  for (auto gg = 0; gg != nb_integration_pts; ++gg) {
 
    double alpha = getMeasure() * t_w;
    auto rr = 0;
    for (; rr != AssemblyDomainEleOp::nbRows / SPACE_DIM; ++rr) {
      auto t_mat = getFTensor1FromMat<SPACE_DIM, 1>(locMat, rr * SPACE_DIM);
      auto t_col_base = col_data.getFTensor0N(gg, 0);
      for (auto cc = 0; cc != AssemblyDomainEleOp::nbCols; cc++) {
 
        t_mat(i) -=
            (t_row_diff_base(j) * t_eigen_strain(i, j)) * (t_col_base * alpha);
 
        ++t_mat;
        ++t_col_base;
      }
 
      ++t_row_diff_base;
    }
    for (; rr != nb_row_base_functions; ++rr)
      ++t_row_diff_base;
 
    ++t_w;
  }
 
  MoFEMFunctionReturn(0);
}
 
OpStressThermal::OpStressThermal(
    const std::string field_name, boost::shared_ptr<MatrixDouble> strain_ptr,
    boost::shared_ptr<VectorDouble> temp_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
    boost::shared_ptr<MatrixDouble> stress_ptr)
    : DomainEleOp(field_name, DomainEleOp::OPROW), strainPtr(strain_ptr),
      tempPtr(temp_ptr), mDPtr(m_D_ptr), coeffExpansionPtr(coeff_expansion_ptr),
      stressPtr(stress_ptr) {
  // Operator is only executed for vertices
  std::fill(&doEntities[MBEDGE], &doEntities[MBMAXTYPE], false);
}
 
OpStressThermal::OpStressThermal(
    boost::shared_ptr<MatrixDouble> strain_ptr,
    boost::shared_ptr<VectorDouble> temp_ptr,
    boost::shared_ptr<MatrixDouble> m_D_ptr,
    boost::shared_ptr<VectorDouble> coeff_expansion_ptr,
    boost::shared_ptr<double> ref_temp_ptr,
    boost::shared_ptr<MatrixDouble> stress_ptr)
    : DomainEleOp(NOSPACE, DomainEleOp::OPSPACE), strainPtr(strain_ptr),
      tempPtr(temp_ptr), mDPtr(m_D_ptr), coeffExpansionPtr(coeff_expansion_ptr),
      refTempPtr(ref_temp_ptr), stressPtr(stress_ptr) {}
 
//! [Calculate stress]
MoFEMErrorCode OpStressThermal::doWork(int side, EntityType type,
                                       EntData &data) {
  MoFEMFunctionBegin;
  const auto nb_gauss_pts = getGaussPts().size2();
  stressPtr->resize((SPACE_DIM * (SPACE_DIM + 1)) / 2, nb_gauss_pts);
 
  auto t_D = getFTensor4DdgFromMat<SPACE_DIM, SPACE_DIM, 0>(*mDPtr);
  auto t_strain = getFTensor2SymmetricFromMat<SPACE_DIM>(*strainPtr);
  auto t_stress = getFTensor2SymmetricFromMat<SPACE_DIM>(*stressPtr);
  auto t_temp = getFTensor0FromVec(*tempPtr);
  FTensor::Index<'i', SPACE_DIM> i;
  FTensor::Index<'j', SPACE_DIM> j;
  FTensor::Index<'k', SPACE_DIM> k;
  FTensor::Index<'l', SPACE_DIM> l;
 
  auto t_coeff_exp = FTensor::Tensor2<double, SPACE_DIM, SPACE_DIM>();
  t_coeff_exp(i, j) = 0;
  for (auto d = 0; d != SPACE_DIM; ++d) {
    t_coeff_exp(d, d) = (*coeffExpansionPtr)[d];
  }
 
  for (size_t gg = 0; gg != nb_gauss_pts; ++gg) {
    t_stress(i, j) =
        t_D(i, j, k, l) *
        (t_strain(k, l) - t_coeff_exp(k, l) * (t_temp - (*refTempPtr)));
    ++t_strain;
    ++t_stress;
    ++t_temp;
  }
  MoFEMFunctionReturn(0);
}
//! [Calculate stress]
 
struct SetTargetTemperature;
 
} // namespace ThermoElasticOps
 
//! [Target temperature]
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::OpFluxRhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                            OpBase>;
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::OpFluxLhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                            OpBase>;
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct MoFEM::AddFluxToRhsPipelineImpl<
 
    MoFEM::OpFluxRhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I,
                         OpBase>,
    A, I, OpBase
 
    > {
 
  AddFluxToRhsPipelineImpl() = delete;
 
  static MoFEMErrorCode add(
 
      boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
      MoFEM::Interface &m_field, const std::string field_name,
      boost::shared_ptr<VectorDouble> temp_ptr, std::string block_name, Sev sev
 
  ) {
    MoFEMFunctionBegin;
 
    using OP_SOURCE = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template LinearForm<I>::template OpSource<1, 1>;
    using OP_TEMP = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template LinearForm<I>::template OpBaseTimesScalar<1>;
 
    auto add_op = [&](auto &&meshset_vec_ptr) {
      MoFEMFunctionBegin;
      for (auto m : meshset_vec_ptr) {
        std::vector<double> block_data;
        m->getAttributes(block_data);
        if (block_data.size() < 2) {
          SETERRQ(PETSC_COMM_WORLD, MOFEM_DATA_INCONSISTENCY,
                  "Expected two parameters");
        }
        double target_temperature = block_data[0];
        double beta =
            block_data[1]; // Set temperature parameter [ W/K * (1/m^3)]
        auto ents_ptr = boost::make_shared<Range>();
        CHKERR m_field.get_moab().get_entities_by_handle(m->meshset,
                                                         *(ents_ptr), true);
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "SetTargetTemperature")
            << "Add " << *m << " target temperature " << target_temperature
            << " penalty " << beta;
 
        pipeline.push_back(new OP_SOURCE(
            field_name,
            [target_temperature, beta](double, double, double) {
              return target_temperature * beta;
            },
            ents_ptr));
        pipeline.push_back(new OP_TEMP(
            field_name, temp_ptr,
            [beta](double, double, double) { return -beta; }, ents_ptr));
      }
      MoFEMFunctionReturn(0);
    };
 
    CHKERR add_op(
 
        m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
            (boost::format("%s(.*)") % block_name).str()
 
                ))
 
    );
 
    MOFEM_LOG_CHANNEL("WORLD");
 
    MoFEMFunctionReturn(0);
  }
};
 
template <AssemblyType A, IntegrationType I, typename OpBase>
struct AddFluxToLhsPipelineImpl<
 
    OpFluxLhsImpl<ThermoElasticOps::SetTargetTemperature, 1, 1, A, I, OpBase>,
    A, I, OpBase
 
    > {
 
  AddFluxToLhsPipelineImpl() = delete;
 
  static MoFEMErrorCode add(
 
      boost::ptr_deque<ForcesAndSourcesCore::UserDataOperator> &pipeline,
      MoFEM::Interface &m_field, const std::string field_name,
      boost::shared_ptr<VectorDouble> temp_ptr, std::string block_name, Sev sev
 
  ) {
    MoFEMFunctionBegin;
 
    using OP_MASS = typename FormsIntegrators<OpBase>::template Assembly<
        A>::template BiLinearForm<I>::template OpMass<1, 1>;
 
    auto add_op = [&](auto &&meshset_vec_ptr) {
      MoFEMFunctionBegin;
      for (auto m : meshset_vec_ptr) {
        std::vector<double> block_data;
        m->getAttributes(block_data);
        if (block_data.size() != 2) {
          SETERRQ(PETSC_COMM_WORLD, MOFEM_DATA_INCONSISTENCY,
                  "Expected two parameters");
        }
        double beta =
            block_data[1]; // Set temperature parameter [ W/K * (1/m^3)]
        auto ents_ptr = boost::make_shared<Range>();
        CHKERR m_field.get_moab().get_entities_by_handle(m->meshset,
                                                         *(ents_ptr), true);
 
        MOFEM_TAG_AND_LOG("WORLD", sev, "SetTargetTemperature")
            << "Add " << *m << " penalty " << beta;
 
        pipeline.push_back(new OP_MASS(
            field_name, field_name,
            [beta](double, double, double) { return -beta; }, ents_ptr));
      }
      MoFEMFunctionReturn(0);
    };
 
    CHKERR add_op(
 
        m_field.getInterface<MeshsetsManager>()->getCubitMeshsetPtr(std::regex(
 
            (boost::format("%s(.*)") % block_name).str()
 
                ))
 
    );
 
    MOFEM_LOG_CHANNEL("WORLD");
 
    MoFEMFunctionReturn(0);
  }
};
 
//! [Target temperature]
 
//! [Initial temperature]
 
/**
 * @brief Rhs for setting initial conditions
 *
 */
template <AssemblyType A, IntegrationType I>
struct OpRhsSetInitT : public AssemblyDomainEleOp {
 
  OpRhsSetInitT(const std::string field_name,
                boost::shared_ptr<VectorDouble> dot_T_ptr,
                boost::shared_ptr<VectorDouble> T_ptr,
                boost::shared_ptr<MatrixDouble> grad_T_ptr,
                boost::shared_ptr<double> initial_T_ptr,
                boost::shared_ptr<double> peak_T_ptr)
      : AssemblyDomainEleOp(field_name, field_name, AssemblyDomainEleOp::OPROW),
        dotTPtr(dot_T_ptr), TPtr(T_ptr), gradTPtr(grad_T_ptr),
        initialTPtr(initial_T_ptr), peakTPtr(peak_T_ptr) {}
 
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &data) {
    MoFEMFunctionBegin;
 
    const double vol = getMeasure();
    auto t_w = getFTensor0IntegrationWeight();
    auto t_coords = getFTensor1CoordsAtGaussPts();
    auto t_base = data.getFTensor0N();
    auto t_diff_base = data.getFTensor1DiffN<SPACE_DIM>();
 
#ifndef NDEBUG
    if (data.getDiffN().size1() != data.getN().size1())
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 1");
    if (data.getDiffN().size2() != data.getN().size2() * SPACE_DIM) {
      MOFEM_LOG("SELF", Sev::error)
          << "Side " << rowSide << " " << CN::EntityTypeName(rowType);
      MOFEM_LOG("SELF", Sev::error) << data.getN();
      MOFEM_LOG("SELF", Sev::error) << data.getDiffN();
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 2");
    }
#endif
 
    auto t_T = getFTensor0FromVec(*TPtr);
    // auto t_grad_temp = getFTensor1FromMat<SPACE_DIM>(*gradTPtr);
 
    for (int gg = 0; gg != nbIntegrationPts; ++gg) {
 
      const double alpha = t_w * vol;
 
      const double set_T = init_T(*initialTPtr, *peakTPtr, t_coords(0),
                                  t_coords(1), t_coords(2));
      // const double m = get_M(set_T) * alpha;
 
      int bb = 0;
      for (; bb != nbRows; ++bb) {
        locF[bb] += (t_base * alpha) * (t_T - set_T);
        // locF[bb] += (t_diff_base(i) * m) * t_grad_g(i);
        ++t_base;
        ++t_diff_base;
      }
 
      for (; bb < nbRowBaseFunctions; ++bb) {
        ++t_base;
        ++t_diff_base;
      }
 
      ++t_T;
      // ++t_grad_g;
 
      ++t_coords;
      ++t_w;
    }
 
    MoFEMFunctionReturn(0);
  }
 
private:
  boost::shared_ptr<VectorDouble> dotTPtr;
  boost::shared_ptr<VectorDouble> TPtr;
  boost::shared_ptr<MatrixDouble> gradTPtr;
  boost::shared_ptr<MatrixDouble> gradQPtr;
  boost::shared_ptr<double> initialTPtr;
  boost::shared_ptr<double> peakTPtr;
};
 
/**
 * @brief Lhs for setting initial conditions wrt T
 *
 */
template <AssemblyType A, IntegrationType I>
struct OpLhsSetInitT_dT : public AssemblyDomainEleOp {
 
  OpLhsSetInitT_dT(const std::string field_name,
                   boost::shared_ptr<VectorDouble> T_ptr)
      : AssemblyDomainEleOp(field_name, field_name,
                            AssemblyDomainEleOp::OPROWCOL),
        TPtr(T_ptr) {
    sYmm = false;
  }
 
  MoFEMErrorCode iNtegrate(EntitiesFieldData::EntData &row_data,
                           EntitiesFieldData::EntData &col_data) {
    MoFEMFunctionBegin;
 
    const double vol = getMeasure();
    auto t_w = getFTensor0IntegrationWeight();
    auto t_coords = getFTensor1CoordsAtGaussPts();
    auto t_row_base = row_data.getFTensor0N();
    auto t_row_diff_base = row_data.getFTensor1DiffN<SPACE_DIM>();
 
#ifndef NDEBUG
    if (row_data.getDiffN().size1() != row_data.getN().size1())
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 1");
    if (row_data.getDiffN().size2() != row_data.getN().size2() * SPACE_DIM) {
      MOFEM_LOG("SELF", Sev::error)
          << "Side " << rowSide << " " << CN::EntityTypeName(rowType);
      MOFEM_LOG("SELF", Sev::error) << row_data.getN();
      MOFEM_LOG("SELF", Sev::error) << row_data.getDiffN();
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 2");
    }
 
    if (col_data.getDiffN().size1() != col_data.getN().size1())
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 1");
    if (col_data.getDiffN().size2() != col_data.getN().size2() * SPACE_DIM) {
      MOFEM_LOG("SELF", Sev::error)
          << "Side " << rowSide << " " << CN::EntityTypeName(rowType);
      MOFEM_LOG("SELF", Sev::error) << col_data.getN();
      MOFEM_LOG("SELF", Sev::error) << col_data.getDiffN();
      SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY, "wrong size 2");
    }
#endif
 
    auto t_T = getFTensor0FromVec(*TPtr);
    // auto t_grad_g = getFTensor1FromMat<SPACE_DIM>(*gradGPtr);
 
    for (int gg = 0; gg != nbIntegrationPts; gg++) {
 
      const double alpha = t_w * vol;
 
      int rr = 0;
      for (; rr != nbRows; ++rr) {
 
        auto t_col_base = col_data.getFTensor0N(gg, 0);
        auto t_col_diff_base = col_data.getFTensor1DiffN<SPACE_DIM>(gg, 0);
 
        for (int cc = 0; cc != nbCols; ++cc) {
 
          locMat(rr, cc) += (t_row_base * t_col_base * alpha);
 
          ++t_col_base;
          ++t_col_diff_base;
        }
 
        ++t_row_base;
        ++t_row_diff_base;
      }
 
      for (; rr < nbRowBaseFunctions; ++rr) {
        ++t_row_base;
        ++t_row_diff_base;
      }
 
      ++t_T;
      // ++t_grad_g;
      ++t_w;
      ++t_coords;
    }
 
    MoFEMFunctionReturn(0);
  }
 
private:
  boost::shared_ptr<VectorDouble> TPtr;
  // boost::shared_ptr<MatrixDouble> gradGPtr;
};
 
//! [Initial temperature]