MoFEM::OpSetContravariantPiolaTransform Struct Reference

apply contravariant (Piola) transfer to Hdiv space More...

#include "src/finite_elements/DataOperators.hpp"

Inheritance diagram for MoFEM::OpSetContravariantPiolaTransform:

Collaboration diagram for MoFEM::OpSetContravariantPiolaTransform:

Public Member Functions
	OpSetContravariantPiolaTransform (double &volume, MatrixDouble3by3 &jac)
MoFEMErrorCode	doWork (int side, EntityType type, EntitiesFieldData::EntData &data)
	Operator for linear form, usually to calculate values on right hand side.
Public Member Functions inherited from MoFEM::DataOperator
	DataOperator (const bool symm=true)
virtual	~DataOperator ()=default
virtual MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)
	Operator for bi-linear form, usually to calculate values on left hand side.
virtual MoFEMErrorCode	opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)
virtual MoFEMErrorCode	opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)
bool	getSymm () const
	Get if operator uses symmetry of DOFs or not.
void	setSymm ()
	set if operator is executed taking in account symmetry
void	unSetSymm ()
	unset if operator is executed for non symmetric problem

Public Attributes
double &	vOlume
FTensor::Tensor2< double *, 3, 3 >	tJac
FTensor::Index< 'i', 3 >	i
FTensor::Index< 'j', 3 >	j
FTensor::Index< 'k', 3 >	k
MatrixDouble	piolaN
MatrixDouble	piolaDiffN
Public Attributes inherited from MoFEM::DataOperator
DoWorkLhsHookFunType	doWorkLhsHook
DoWorkRhsHookFunType	doWorkRhsHook
bool	sYmm
	If true assume that matrix is symmetric structure.
std::array< bool, MBMAXTYPE >	doEntities
	If true operator is executed for entity.
bool &	doVertices
	\deprectaed If false skip vertices
bool &	doEdges
	\deprectaed If false skip edges
bool &	doQuads
	\deprectaed
bool &	doTris
	\deprectaed
bool &	doTets
	\deprectaed
bool &	doPrisms
	\deprectaed

Additional Inherited Members
Public Types inherited from MoFEM::DataOperator
using	DoWorkLhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)>
using	DoWorkRhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int side, EntityType type, EntitiesFieldData::EntData &data)>

Detailed Description

apply contravariant (Piola) transfer to Hdiv space

Contravariant Piola transformation

\[ \psi_i|_t = \frac{1}{\textrm{det}(J)}J_{ij}\hat{\psi}_j\\ \left.\frac{\partial \psi_i}{\partial \xi_j}\right|_t = \frac{1}{\textrm{det}(J)}J_{ik}\frac{\partial \hat{\psi}_k}{\partial \xi_j} \]

Definition at line 183 of file DataOperators.hpp.

Constructor & Destructor Documentation

OpSetContravariantPiolaTransform()

MoFEM::OpSetContravariantPiolaTransform::OpSetContravariantPiolaTransform ( double &  volume, MatrixDouble3by3 &  jac  )

inline

Definition at line 192 of file DataOperators.hpp.

      : vOlume(volume),
        // jAc(jac),
        tJac(&jac(0, 0), &jac(0, 1), &jac(0, 2), &jac(1, 0), &jac(1, 1),
             &jac(1, 2), &jac(2, 0), &jac(2, 1), &jac(2, 2)) {}

Member Function Documentation

doWork()

MoFEMErrorCode MoFEM::OpSetContravariantPiolaTransform::doWork ( int  side, EntityType  type, EntitiesFieldData::EntData &  data  )

virtual

Operator for linear form, usually to calculate values on right hand side.

Reimplemented from MoFEM::DataOperator.

Definition at line 265 of file DataOperators.cpp.

                                                               {
  MoFEMFunctionBegin;
 
  if (CN::Dimension(type) > 1) {
 
    for (int b = AINSWORTH_LEGENDRE_BASE; b != LASTBASE; b++) {
 
      FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
      const unsigned int nb_base_functions = data.getN(base).size2() / 3;
      if (!nb_base_functions)
        continue;
 
      const unsigned int nb_gauss_pts = data.getN(base).size1();
      double const a = 1. / vOlume;
 
      piolaN.resize(nb_gauss_pts, data.getN(base).size2(), false);
      if (data.getN(base).size2() > 0) {
        auto t_n = data.getFTensor1N<3>(base);
        double *t_transformed_n_ptr = &*piolaN.data().begin();
        FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3> t_transformed_n(
            t_transformed_n_ptr, // HVEC0
            &t_transformed_n_ptr[HVEC1], &t_transformed_n_ptr[HVEC2]);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg) {
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_n(i) = a * (tJac(i, k) * t_n(k));
            ++t_n;
            ++t_transformed_n;
          }
        }
        data.getN(base).swap(piolaN);
      }
 
      piolaDiffN.resize(nb_gauss_pts, data.getDiffN(base).size2(), false);
      if (data.getDiffN(base).size2() > 0) {
        auto t_diff_n = data.getFTensor2DiffN<3, 3>(base);
        double *t_transformed_diff_n_ptr = &*piolaDiffN.data().begin();
        FTensor::Tensor2<FTensor::PackPtr<double *, 9>, 3, 3>
            t_transformed_diff_n(t_transformed_diff_n_ptr,
                                 &t_transformed_diff_n_ptr[HVEC0_1],
                                 &t_transformed_diff_n_ptr[HVEC0_2],
                                 &t_transformed_diff_n_ptr[HVEC1_0],
                                 &t_transformed_diff_n_ptr[HVEC1_1],
                                 &t_transformed_diff_n_ptr[HVEC1_2],
                                 &t_transformed_diff_n_ptr[HVEC2_0],
                                 &t_transformed_diff_n_ptr[HVEC2_1],
                                 &t_transformed_diff_n_ptr[HVEC2_2]);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg) {
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_diff_n(i, k) = a * tJac(i, j) * t_diff_n(j, k);
            ++t_diff_n;
            ++t_transformed_diff_n;
          }
        }
        data.getDiffN(base).swap(piolaDiffN);
      }
    }
  }
 
  MoFEMFunctionReturn(0);
}

Member Data Documentation

i

FTensor::Index<'i', 3> MoFEM::OpSetContravariantPiolaTransform::i

Definition at line 188 of file DataOperators.hpp.

j

FTensor::Index<'j', 3> MoFEM::OpSetContravariantPiolaTransform::j

Definition at line 189 of file DataOperators.hpp.

k

FTensor::Index<'k', 3> MoFEM::OpSetContravariantPiolaTransform::k

Definition at line 190 of file DataOperators.hpp.

piolaDiffN

MatrixDouble MoFEM::OpSetContravariantPiolaTransform::piolaDiffN

Definition at line 199 of file DataOperators.hpp.

piolaN

MatrixDouble MoFEM::OpSetContravariantPiolaTransform::piolaN

Definition at line 198 of file DataOperators.hpp.

tJac

FTensor::Tensor2<double *, 3, 3> MoFEM::OpSetContravariantPiolaTransform::tJac

Definition at line 187 of file DataOperators.hpp.

vOlume

double& MoFEM::OpSetContravariantPiolaTransform::vOlume

Definition at line 185 of file DataOperators.hpp.

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The documentation for this struct was generated from the following files:

• src/finite_elements/DataOperators.hpp
• src/finite_elements/impl/DataOperators.cpp