Common weak operators using div-compatible discretizations. More...

#include <CompatibleOperators.h>

Static Public Member Functions
static void	Advection (std::vector< Matrix > &EM, const FiniteElement &fe, const Vec3 &AC, const std::array< std::array< int, 3 >, 3 > &idx, double scale=1.0, WeakOperators::ConvectionForm cnvForm=WeakOperators::CONVECTIVE)
	Compute an advection term. More...

static void	Convection (std::vector< Matrix > &EM, const FiniteElement &fe, const Vec3 &U, const Tensor &dUdX, const std::array< std::array< int, 3 >, 3 > &idx, double scale, WeakOperators::ConvectionForm form=WeakOperators::CONVECTIVE)
	Compute a (nonlinear) convection term. More...

static void	Gradient (std::vector< Matrix > &EM, const FiniteElement &fe, const std::array< int, 3 > &idx, double scale=1.0)
	Compute a gradient term. More...

static void	ItgConstraint (std::vector< Matrix > &EM, const FiniteElement &fe, const std::array< int, 3 > &idx)
	Compute an integration constraint. More...

static void	Laplacian (std::vector< Matrix > &EM, const FiniteElement &fe, const std::array< std::array< int, 3 >, 3 > &idx, double scale=1.0, bool stress=false)
	Compute a laplacian. More...

static void	Mass (std::vector< Matrix > &EM, const FiniteElement &fe, const std::array< std::array< int, 3 >, 3 > &idx, double scale=1.0)
	Compute a mass term. More...

static void	Source (Vectors &EV, const FiniteElement &fe, const std::array< int, 3 > &idx, double scale=1.0)
	Compute a scalar source term. More...

static void	Source (Vectors &EV, const FiniteElement &fe, const Vec3 &f, const std::array< int, 3 > &idx, double scale=1.0)
	Compute a vector-source term. More...

Detailed Description

Common weak operators using div-compatible discretizations.

Member Function Documentation

◆ Advection()

void CompatibleOperators::Weak::Advection	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const Vec3 &	AC,
		const std::array< std::array< int, 3 >, 3 > &	idx,
		double	scale = `1.0`,
		WeakOperators::ConvectionForm	cnvForm = `WeakOperators::CONVECTIVE`
	)

static

Compute an advection term.

Parameters

[out]	EM	The element matrices to add contribution to
[in]	fe	The finite element to evaluate for
[in]	AC	Advecting field
[in]	idx	Matrix block indices
[in]	scale	Scaling factor for contribution
[in]	cnvForm	Form of advection operator

References FiniteElement::basis(), utl::matrix< T >::cols(), FiniteElement::detJxW, utl::matrix< T >::getColumn(), and FiniteElement::grad().

◆ Convection()

void CompatibleOperators::Weak::Convection	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const Vec3 &	U,
		const Tensor &	dUdX,
		const std::array< std::array< int, 3 >, 3 > &	idx,
		double	scale,
		WeakOperators::ConvectionForm	form = `WeakOperators::CONVECTIVE`
	)

static

Compute a (nonlinear) convection term.

Parameters

[out]	EM	The element matrix to add contribution to
[in]	fe	The finite element to evaluate for
[in]	U	Advecting field
[in]	dUdX	Field gradient
[in]	idx	Matrix block indices
[in]	scale	Scaling factor for contribution
[in]	form	Which form of the convective form to use

References FiniteElement::basis(), utl::matrix< T >::cols(), FiniteElement::detJxW, utl::matrix< T >::getColumn(), and FiniteElement::grad().

◆ Gradient()

void CompatibleOperators::Weak::Gradient	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const std::array< int, 3 > &	idx,
		double	scale = `1.0`
	)

static

Compute a gradient term.

Parameters

[out]	EM	The element matrix to add contribution to
[in]	fe	The finite element to evaluate for
[in]	idx	Matrix block indices
[in]	scale	Scaling factor for contribution

References FiniteElement::basis(), utl::matrix< T >::cols(), FiniteElement::detJxW, utl::matrix< T >::getColumn(), and FiniteElement::grad().

◆ ItgConstraint()

void CompatibleOperators::Weak::ItgConstraint	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const std::array< int, 3 > &	idx
	)

static

Compute an integration constraint.

Parameters

[out]	EM	The element matrix to add contribution to
[in]	idx	Matrix block indices
[in]	fe	The finite element to evaluate for

References utl::matrix< T >::cols(), FiniteElement::grad(), and EqualOrderOperators::Weak::ItgConstraint().

◆ Laplacian()

void CompatibleOperators::Weak::Laplacian	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const std::array< std::array< int, 3 >, 3 > &	idx,
		double	scale = `1.0`,
		bool	stress = `false`
	)

static

Compute a laplacian.

Parameters

[out]	EM	The element matrix to add contribution to
[in]	fe	The finite element to evaluate for
[in]	idx	Matrix block indices
[in]	scale	Scaling factor for contribution
[in]	stress	Whether to add extra stress formulation terms

Only the upper blocks are added with the stress formulation

References utl::matrix< T >::cols(), FiniteElement::detJxW, utl::matrix< T >::getColumn(), FiniteElement::grad(), and EqualOrderOperators::Weak::Laplacian().

◆ Mass()

void CompatibleOperators::Weak::Mass	(	std::vector< Matrix > &	EM,
		const FiniteElement &	fe,
		const std::array< std::array< int, 3 >, 3 > &	idx,
		double	scale = `1.0`
	)

static

Compute a mass term.

Parameters

[out]	EM	The element matrices to add contribution to
[in]	fe	The finite element to evaluate for
[in]	idx	Matrix block indices
[in]	scale	Scaling factor for contribution

References FiniteElement::grad(), and EqualOrderOperators::Weak::Mass().

◆ Source() [1/2]

void CompatibleOperators::Weak::Source	(	Vectors &	EV,
		const FiniteElement &	fe,
		const std::array< int, 3 > &	idx,
		double	scale = `1.0`
	)

static

Compute a scalar source term.

Parameters

[out]	EV	The element vectors to add contribution to
[in]	fe	The finite element to evaluate for
	idx	Vector block indices
[in]	scale	Scaling factor for contribution

References FiniteElement::grad(), and EqualOrderOperators::Weak::Source().

◆ Source() [2/2]

void CompatibleOperators::Weak::Source	(	Vectors &	EV,
		const FiniteElement &	fe,
		const Vec3 &	f,
		const std::array< int, 3 > &	idx,
		double	scale = `1.0`
	)

static

Compute a vector-source term.

Parameters

[out]	EV	The element vectors to add contribution to
[in]	fe	The finite element to evaluate for
[in]	f	Vector with contributions
	idx	Vector block indices
[in]	scale	Scaling factor for contribution

References FiniteElement::grad(), and EqualOrderOperators::Weak::Source().

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

Apps/Common/CompatibleOperators.h
Apps/Common/CompatibleOperators.C

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ Advection()

◆ Convection()

◆ Gradient()

◆ ItgConstraint()

◆ Laplacian()

◆ Mass()

◆ Source() [1/2]

◆ Source() [2/2]