A class for elements that allow the imposition of an applied traction in the equations of time-harmonic linear elasticity from a Helmholtz potential (interpreted as a displacement potential for the fluid in a quasi-steady, linearised FSI problem.) The geometrical information can be read from the FaceGeometry<ELEMENT> class and and thus, we can be generic enough without the need to have a separate equations class. More...

#include <fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h>

Inheritance diagram for oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >:

Public Member Functions
	FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement (FiniteElement *const &element_pt, const int &face_index)
	Constructor, which takes a "bulk" element and the value of the index and its limit. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Return the residuals. More...

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Fill in contribution from Jacobian. More...

const double &	q () const
	Return the ratio of the stress scales used to non-dimensionalise the fluid and elasticity equations. E.g. $Q = (\omega a)^2 \rho/E$ , i.e. the ratio between the inertial fluid stress and the solid's elastic modulus E. More...

double *&	q_pt ()
	Return a pointer the ratio of stress scales used to non-dimensionalise the fluid and solid equations. More...

void	output (std::ostream &outfile)
	Output function. More...

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output function: Plot traction etc at Gauss points nplot is ignored. More...

void	output (FILE *file_pt)
	C_style output function. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	C-style output function. More...

Protected Member Functions
void	fill_in_contribution_to_residuals_helmholtz_traction (Vector< double > &residuals)
	Helper function that actually calculates the residuals. More...

Protected Attributes
double *	Q_pt
	Pointer to the ratio, , of the stress used to non-dimensionalise the fluid stresses to the stress used to non-dimensionalise the solid stresses. More...

Vector< std::complex< unsigned > >	U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction
	Index at which the i-th displacement component is stored. More...

Static Protected Attributes
static double	Default_Q_Value = 1.0
	Static default value for the ratio of stress scales used in the fluid and solid equations (default is 1.0) More...

Detailed Description

template<class ELASTICITY_BULK_ELEMENT, class HELMHOLTZ_BULK_ELEMENT>
class oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >

A class for elements that allow the imposition of an applied traction in the equations of time-harmonic linear elasticity from a Helmholtz potential (interpreted as a displacement potential for the fluid in a quasi-steady, linearised FSI problem.) The geometrical information can be read from the FaceGeometry<ELEMENT> class and and thus, we can be generic enough without the need to have a separate equations class.

Definition at line 47 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

Constructor & Destructor Documentation

◆ FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement	(	FiniteElement *const &	element_pt,
		const int &	face_index
	)

inline

Constructor, which takes a "bulk" element and the value of the index and its limit.

Definition at line 76 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

Member Function Documentation

◆ fill_in_contribution_to_jacobian()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inline

Fill in contribution from Jacobian.

Definition at line 143 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction().

◆ fill_in_contribution_to_residuals()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inline

Return the residuals.

Definition at line 136 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction().

◆ fill_in_contribution_to_residuals_helmholtz_traction()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction ( Vector< double > & residuals )

protected

Helper function that actually calculates the residuals.

Return the residuals.

Definition at line 269 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

Referenced by oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals().

◆ output() [1/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( FILE * file_pt )

inline

C_style output function.

Definition at line 235 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

◆ output() [2/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inline

C-style output function.

Definition at line 241 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

◆ output() [3/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( std::ostream & outfile )

inline

Output function.

Dummy

Definition at line 172 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

◆ output() [4/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

inline

Output function: Plot traction etc at Gauss points nplot is ignored.

Definition at line 181 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q().

◆ q()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

const double& oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q ( ) const

inline

Return the ratio of the stress scales used to non-dimensionalise the fluid and elasticity equations. E.g. $Q = (\omega a)^2 \rho/E$ , i.e. the ratio between the inertial fluid stress and the solid's elastic modulus E.

Definition at line 158 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt.

Referenced by oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output().

◆ q_pt()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

double*& oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q_pt ( )

inline

Return a pointer the ratio of stress scales used to non-dimensionalise the fluid and solid equations.

Definition at line 165 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt.

Member Data Documentation

◆ Default_Q_Value

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

double oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Default_Q_Value = 1.0

staticprotected

Static default value for the ratio of stress scales used in the fluid and solid equations (default is 1.0)

//////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////

Static default value for the ratio of stress scales used in the fluid and solid equations (default is 1.0)

Definition at line 60 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

◆ Q_pt

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

double* oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt

protected

Pointer to the ratio, , of the stress used to non-dimensionalise the fluid stresses to the stress used to non-dimensionalise the solid stresses.

Definition at line 56 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

Referenced by oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), and oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q_pt().

◆ U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

Vector<std::complex<unsigned> > oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

protected

Index at which the i-th displacement component is stored.

Definition at line 64 of file fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h.

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

fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

template<class ELASTICITY_BULK_ELEMENT, class HELMHOLTZ_BULK_ELEMENT> class oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >

Constructor & Destructor Documentation

◆ FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement()

Member Function Documentation

◆ fill_in_contribution_to_jacobian()

◆ fill_in_contribution_to_residuals()

◆ fill_in_contribution_to_residuals_helmholtz_traction()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ q()

◆ q_pt()

Member Data Documentation

◆ Default_Q_Value

◆ Q_pt

◆ U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

template<class ELASTICITY_BULK_ELEMENT, class HELMHOLTZ_BULK_ELEMENT>
class oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >