Calculate Nitsche method terms on left hand side. More...

#include <users_modules/homogenisation/src/NitscheMethod.hpp>

Inheritance diagram for NitscheMethod::OpLhsNormal:

Collaboration diagram for NitscheMethod::OpLhsNormal:

Public Member Functions
	OpLhsNormal (const std::string field_name, BlockData &nitsche_block_data, CommonData &nitsche_common_data, NonlinearElasticElement::BlockData &data, NonlinearElasticElement::CommonData &common_data, bool field_disp)

MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, DataForcesAndSourcesCore::EntData &row_data, DataForcesAndSourcesCore::EntData &col_data)

Public Member Functions inherited from NitscheMethod::OpCommon
	OpCommon (const std::string field_name, BlockData &nitsche_block_data, CommonData &nitsche_common_data, NonlinearElasticElement::BlockData &data, NonlinearElasticElement::CommonData &common_data, bool field_disp, const char type)

virtual MoFEMErrorCode	calculateP (int gg, int fgg, int ff)

MoFEMErrorCode	getJac (DataForcesAndSourcesCore::EntData &data, int gg, MatrixDouble &jac)

MoFEMErrorCode	getTractionVariance (int gg, int fgg, int ff, MatrixDouble &jac, MatrixDouble &trac)

Public Member Functions inherited from NitscheMethod::OpBasicCommon
	OpBasicCommon (const std::string field_name, BlockData &nitsche_block_data, CommonData &nitsche_common_data, bool field_disp, const char type)

virtual MoFEMErrorCode	getFaceRadius (int ff)

virtual MoFEMErrorCode	getGammaH (double gamma, int gg)

Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
int	getNumNodes ()
	get element number of nodes More...

const EntityHandle *	getConn ()
	get element connectivity More...

double	getVolume () const
	element volume (linear geometry) More...

double &	getVolume ()
	element volume (linear geometry) More...

FTensor::Tensor2< double *, 3, 3 > &	getJac ()
	get element Jacobian More...

FTensor::Tensor2< double *, 3, 3 > &	getInvJac ()
	get element inverse Jacobian More...

VectorDouble &	getCoords ()
	nodal coordinates More...

VolumeElementForcesAndSourcesCore *	getVolumeFE () const
	return pointer to Generic Volume Finite Element object More...

Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
	UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)

	UserDataOperator (const std::string field_name, const char type, const bool symm=true)

	UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)

boost::shared_ptr< const NumeredEntFiniteElement >	getNumeredEntFiniteElementPtr () const
	Return raw pointer to NumeredEntFiniteElement. More...

EntityHandle	getFEEntityHandle () const
	Return finite element entity handle. More...

int	getFEDim () const
	Get dimension of finite element. More...

EntityType	getFEType () const
	Get dimension of finite element. More...

boost::weak_ptr< SideNumber >	getSideNumberPtr (const int side_number, const EntityType type)
	Get the side number pointer. More...

EntityHandle	getSideEntity (const int side_number, const EntityType type)
	Get the side entity. More...

int	getNumberOfNodesOnElement () const
	Get the number of nodes on finite element. More...

MoFEMErrorCode	getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get row indices. More...

MoFEMErrorCode	getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get col indices. More...

const FEMethod *	getFEMethod () const
	Return raw pointer to Finite Element Method object. More...

int	getOpType () const
	Get operator types. More...

void	setOpType (const OpType type)
	Set operator type. More...

void	addOpType (const OpType type)
	Add operator type. More...

int	getNinTheLoop () const
	get number of finite element in the loop More...

int	getLoopSize () const
	get size of elements in the loop More...

std::string	getFEName () const
	Get name of the element. More...

ForcesAndSourcesCore *	getPtrFE () const

ForcesAndSourcesCore *	getSidePtrFE () const

ForcesAndSourcesCore *	getRefinePtrFE () const

const PetscData::Switches &	getDataCtx () const

const KspMethod::KSPContext	getKSPCtx () const

const SnesMethod::SNESContext	getSNESCtx () const

const TSMethod::TSContext	getTSCtx () const

Vec	getKSPf () const

Mat	getKSPA () const

Mat	getKSPB () const

Vec	getSNESf () const

Vec	getSNESx () const

Mat	getSNESA () const

Mat	getSNESB () const

Vec	getTSu () const

Vec	getTSu_t () const

Vec	getTSu_tt () const

Vec	getTSf () const

Mat	getTSA () const

Mat	getTSB () const

int	getTSstep () const

double	getTStime () const

double	getTStimeStep () const

double	getTSa () const

double	getTSaa () const

MatrixDouble &	getGaussPts ()
	matrix of integration (Gauss) points for Volume Element More...

auto	getFTensor0IntegrationWeight ()
	Get integration weights. More...

MatrixDouble &	getCoordsAtGaussPts ()
	Gauss points and weight, matrix (nb. of points x 3) More...

auto	getFTensor1CoordsAtGaussPts ()
	Get coordinates at integration points assuming linear geometry. More...

double	getMeasure () const
	get measure of element More...

double &	getMeasure ()
	get measure of element More...

MoFEMErrorCode	loopSide (const string &fe_name, ForcesAndSourcesCore side_fe, const size_t dim, const EntityHandle ent_for_side=0, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy, AdjCache adj_cache=nullptr)
	User calls this function to loop over elements on the side of face. This function calls finite element with its operator to do calculations. More...

MoFEMErrorCode	loopThis (const string &fe_name, ForcesAndSourcesCore *this_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
	User calls this function to loop over the same element using a different set of integration points. This function calls finite element with its operator to do calculations. More...

MoFEMErrorCode	loopParent (const string &fe_name, ForcesAndSourcesCore *parent_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
	User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...

MoFEMErrorCode	loopChildren (const string &fe_name, ForcesAndSourcesCore *child_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
	User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...

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. More...

virtual MoFEMErrorCode	opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)

virtual MoFEMErrorCode	doWork (int side, EntityType type, EntitiesFieldData::EntData &data)
	Operator for linear form, usually to calculate values on right hand side. More...

virtual MoFEMErrorCode	opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)

bool	getSymm () const
	Get if operator uses symmetry of DOFs or not. More...

void	setSymm ()
	set if operator is executed taking in account symmetry More...

void	unSetSymm ()
	unset if operator is executed for non symmetric problem More...

Public Attributes
MatrixDouble	kMatrix

MatrixDouble	kMatrix0

MatrixDouble	kMatrix1

std::vector< MatrixDouble >	kMatrixFace

std::vector< MatrixDouble >	kMatrixFace0

std::vector< MatrixDouble >	kMatrixFace1

Public Attributes inherited from NitscheMethod::OpCommon
NonlinearElasticElement::BlockData &	dAta

NonlinearElasticElement::CommonData &	commonData

VectorDouble	dIsp

VectorDouble	tRaction

MatrixDouble	jAc_row

MatrixDouble	jAc_col

MatrixDouble	tRac_v

MatrixDouble	tRac_u

Public Attributes inherited from NitscheMethod::OpBasicCommon
BlockData &	nitscheBlockData

CommonData &	nitscheCommonData

bool	fieldDisp

double	faceRadius

double	gammaH

Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
char	opType

std::string	rowFieldName

std::string	colFieldName

FieldSpace	sPace

Public Attributes inherited from MoFEM::DataOperator
DoWorkLhsHookFunType	doWorkLhsHook

DoWorkRhsHookFunType	doWorkRhsHook

bool	sYmm
	If true assume that matrix is symmetric structure. More...

std::array< bool, MBMAXTYPE >	doEntities
	If true operator is executed for entity. More...

bool &	doVertices
	\deprectaed If false skip vertices More...

bool &	doEdges
	\deprectaed If false skip edges More...

bool &	doQuads
	\deprectaed More...

bool &	doTris
	\deprectaed More...

bool &	doTets
	\deprectaed More...

bool &	doPrisms
	\deprectaed More...

Additional Inherited Members
Public Types inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
enum	OpType { OPROW = 1 << 0 , OPCOL = 1 << 1 , OPROWCOL = 1 << 2 , OPSPACE = 1 << 3 , OPLAST = 1 << 3 }
	Controls loop over entities on element. More...

using	AdjCache = std::map< EntityHandle, std::vector< boost::weak_ptr< NumeredEntFiniteElement > > >

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)>

Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const	OpTypeNames []

Protected Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
MoFEMErrorCode	setPtrFE (ForcesAndSourcesCore *ptr)

virtual MoFEMErrorCode	setPtrFE (ForcesAndSourcesCore *ptr)

Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCore *	ptrFE

Detailed Description

Calculate Nitsche method terms on left hand side.

Definition at line 513 of file NitscheMethod.hpp.

Constructor & Destructor Documentation

◆ OpLhsNormal()

NitscheMethod::OpLhsNormal::OpLhsNormal	(	const std::string	field_name,
		BlockData &	nitsche_block_data,
		CommonData &	nitsche_common_data,
		NonlinearElasticElement::BlockData &	data,
		NonlinearElasticElement::CommonData &	common_data,
		bool	field_disp
	)

inline

Definition at line 515 of file NitscheMethod.hpp.

520 : OpCommon(field_name, nitsche_block_data, nitsche_common_data, data,

521 common_data, field_disp, UserDataOperator::OPROWCOL) {}

field_name

constexpr auto field_name

Definition: poisson_2d_homogeneous.cpp:13

NitscheMethod::OpCommon::OpCommon

OpCommon(const std::string field_name, BlockData &nitsche_block_data, CommonData &nitsche_common_data, NonlinearElasticElement::BlockData &data, NonlinearElasticElement::CommonData &common_data, bool field_disp, const char type)

Definition: NitscheMethod.hpp:438

Member Function Documentation

◆ doWork()

MoFEMErrorCode NitscheMethod::OpLhsNormal::doWork	(	int	row_side,
		int	col_side,
		EntityType	row_type,
		EntityType	col_type,
		DataForcesAndSourcesCore::EntData &	row_data,
		DataForcesAndSourcesCore::EntData &	col_data
	)

inline

Definition at line 526 of file NitscheMethod.hpp.

                                                                     {
      MoFEMFunctionBeginHot;
 
      if (dAta.tEts.find(getNumeredEntFiniteElementPtr()->getEnt()) ==
          dAta.tEts.end()) {
        MoFEMFunctionReturnHot(0);
      }
      if (row_data.getIndices().size() == 0)
        MoFEMFunctionReturnHot(0);
      if (col_data.getIndices().size() == 0)
        MoFEMFunctionReturnHot(0);
      int nb_dofs_row = row_data.getIndices().size();
      int nb_dofs_col = col_data.getIndices().size();
      double gamma = nitscheBlockData.gamma;
      double phi = nitscheBlockData.phi;
 
      kMatrix0.resize(nb_dofs_row, nb_dofs_col, false);
      kMatrix1.resize(nb_dofs_row, nb_dofs_col, false);
      kMatrix.resize(nb_dofs_row, nb_dofs_col, false);
      kMatrix.clear();
 
      try {
 
        int gg = 0;
        for (int ff = 0; ff < 4; ff++) {
          if (!nitscheCommonData.facesFePtr[ff])
            continue;
          int nb_face_gauss_pts = nitscheCommonData.faceGaussPts[ff].size2();
          ierr = getFaceRadius(ff);
          CHKERRG(ierr);
          kMatrix0.clear();
          kMatrix1.clear();
          for (int fgg = 0; fgg < nb_face_gauss_pts; fgg++, gg++) {
            ierr = getGammaH(gamma, gg);
            CHKERRG(ierr);
            double val = getGaussPts()(3, gg);
            ierr = getJac(row_data, gg, jAc_row);
            CHKERRG(ierr);
            ierr = getTractionVariance(gg, fgg, ff, jAc_row, tRac_v);
            CHKERRG(ierr);
            ierr = getJac(col_data, gg, jAc_col);
            CHKERRG(ierr);
            ierr = getTractionVariance(gg, fgg, ff, jAc_col, tRac_u);
            CHKERRG(ierr);
            VectorAdaptor normal = VectorAdaptor(
                3, ublas::shallow_array_adaptor<double>(
                       3, &nitscheCommonData.faceNormals[ff](fgg, 0)));
            double area = cblas_dnrm2(3, &normal[0], 1);
 
            ierr = calculateP(gg, fgg, ff);
            CHKERRG(ierr);
            MatrixDouble &P = nitscheCommonData.P[ff][fgg];
 
            // P
            for (int dd1 = 0; dd1 < nb_dofs_row / 3; dd1++) {
              double n_row = row_data.getN()(gg, dd1);
              for (int dd2 = 0; dd2 < nb_dofs_col / 3; dd2++) {
                double n_col = col_data.getN()(gg, dd2);
                for (int dd3 = 0; dd3 < 3; dd3++) {
                  for (int dd4 = 0; dd4 < 3; dd4++) {
                    if (!P(dd3, dd4))
                      continue;
                    kMatrix0(3 * dd1 + dd3, 3 * dd2 + dd4) +=
                        val * n_row * P(dd3, dd4) * n_col * area;
                  }
                }
              }
            }
            for (int dd1 = 0; dd1 < nb_dofs_row / 3; dd1++) {
              double n_row = row_data.getN()(gg, dd1);
              for (int dd2 = 0; dd2 < nb_dofs_col; dd2++) {
                for (int dd3 = 0; dd3 < 3; dd3++) {
                  double t = cblas_ddot(3, &P(dd3, 0), 1, &tRac_u(0, dd2),
                                        tRac_u.size2());
                  kMatrix1(3 * dd1 + dd3, dd2) -= val * n_row * t;
                }
              }
            }
            for (int dd1 = 0; dd1 < nb_dofs_row; dd1++) {
              for (int dd2 = 0; dd2 < nb_dofs_col / 3; dd2++) {
                double n_col = col_data.getN()(gg, dd2);
                for (int dd3 = 0; dd3 < 3; dd3++) {
                  double t = cblas_ddot(3, &P(0, dd3), 3, &tRac_v(0, dd1),
                                        tRac_v.size2());
                  kMatrix1(dd1, 3 * dd2 + dd3) -= phi * val * t * n_col;
                }
              }
            }
            // dP
            if (nitscheCommonData.dP[col_type].empty() != 0) {
              if (nitscheCommonData.dP[col_type].size() == 4) {
                if (nitscheCommonData.dP[col_type][ff].size() ==
                    (unsigned int)nb_face_gauss_pts) {
                  MatrixDouble &dP = nitscheCommonData.dP[col_type][ff][fgg];
                  if (dP.size1() == 3 &&
                      dP.size2() == (unsigned int)nb_dofs_col) {
                    VectorDouble &u =
                        (commonData
                             .dataAtGaussPts[commonData.spatialPositions])[gg];
                    for (int dd1 = 0; dd1 < nb_dofs_row / 3; dd1++) {
                      double n_row = row_data.getN()(gg, dd1);
                      for (int dd2 = 0; dd2 < nb_dofs_col / 3; dd2++) {
                        for (int dd3 = 0; dd3 < 3; dd3++) {
                          for (int dd4 = 0; dd4 < 3; dd4++) {
                            kMatrix0(3 * dd1 + dd3, 3 * dd2 + dd4) +=
                                val * n_row * u[dd4] * dP(dd4, 3 * dd2 + dd4);
                          }
                        }
                      }
                    }
                    VectorDouble t =
                        prod(trans(commonData.sTress[gg]),
                             normal); // this is Piola-Kirchhoff I stress
                    for (int dd1 = 0; dd1 < nb_dofs_row / 3; dd1++) {
                      double n_row = row_data.getN()(gg, dd1);
                      for (int dd2 = 0; dd2 < nb_dofs_col / 3; dd2++) {
                        for (int dd3 = 0; dd3 < 3; dd3++) {
                          for (int dd4 = 0; dd4 < 3; dd4++) {
                            kMatrix1(3 * dd1 + dd3, 3 * dd2 + dd4) +=
                                val * n_row * t[dd4] * dP(dd4, 3 * dd2 + dd4);
                          }
                        }
                      }
                    }
                  }
                }
              }
            }
          }
 
          kMatrix0 /= gammaH;
          noalias(kMatrix) += kMatrix0 + kMatrix1;
        }
 
        if (gg != (int)getGaussPts().size2()) {
          SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                  "wrong number of gauss pts");
        }
 
        ierr = MatSetValues(
            getFEMethod()->snes_B, nb_dofs_row, &row_data.getIndices()[0],
            nb_dofs_col, &col_data.getIndices()[0], &kMatrix(0, 0), ADD_VALUES);
        CHKERRG(ierr);
 
      } catch (const std::exception &ex) {
        std::ostringstream ss;
        ss << "throw in method: " << ex.what() << std::endl;
        SETERRQ(PETSC_COMM_SELF, 1, ss.str().c_str());
      }
 
      MoFEMFunctionReturnHot(0);
    }

Member Data Documentation

◆ kMatrix

MatrixDouble NitscheMethod::OpLhsNormal::kMatrix

Definition at line 523 of file NitscheMethod.hpp.

◆ kMatrix0

MatrixDouble NitscheMethod::OpLhsNormal::kMatrix0

Definition at line 523 of file NitscheMethod.hpp.

◆ kMatrix1

MatrixDouble NitscheMethod::OpLhsNormal::kMatrix1

Definition at line 523 of file NitscheMethod.hpp.

◆ kMatrixFace

std::vector<MatrixDouble> NitscheMethod::OpLhsNormal::kMatrixFace

Definition at line 524 of file NitscheMethod.hpp.

◆ kMatrixFace0

std::vector<MatrixDouble> NitscheMethod::OpLhsNormal::kMatrixFace0

Definition at line 524 of file NitscheMethod.hpp.

◆ kMatrixFace1

std::vector<MatrixDouble> NitscheMethod::OpLhsNormal::kMatrixFace1

Definition at line 524 of file NitscheMethod.hpp.

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

users_modules/homogenisation/src/NitscheMethod.hpp

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ OpLhsNormal()

Member Function Documentation

◆ doWork()

Member Data Documentation

◆ kMatrix

◆ kMatrix0

◆ kMatrix1

◆ kMatrixFace

◆ kMatrixFace0

◆ kMatrixFace1