EqualOrderOperators::Residual Class Reference

Common weak residual operators using equal-ordered discretizations. More...

#include <EqualOrderOperators.h>

Static Public Member Functions
static void	Advection (Vector &EV, const FiniteElement &fe, const Vec3 &AC, const Tensor &g, double scale=1.0, int basis=1)
	Compute an advection term. More...
static void	Convection (Vector &EV, const FiniteElement &fe, const Vec3 &U, const Tensor &dUdX, const Vec3 &UC, double scale, WeakOperators::ConvectionForm form=WeakOperators::CONVECTIVE, int basis=1)
	Compute a convection term in a residual vector. More...
static void	Divergence (Vector &EV, const FiniteElement &fe, const Tensor &dUdX, double scale=1.0, size_t basis=1)
	Compute a divergence term in a residual vector. More...
static void	Gradient (Vector &EV, const FiniteElement &fe, double scale=1.0, int basis=1)
	Compute a gradient term. More...
static void	Laplacian (Vector &EV, const FiniteElement &fe, const Vec3 &dUdX, double scale=1.0, int basis=1)
	Compute a laplacian term in a residual vector. More...
static void	Laplacian (Vector &EV, const FiniteElement &fe, const Tensor &dUdX, double scale=1.0, bool stress=false, int basis=1)
	Compute a laplacian term in a residual vector. More...

Detailed Description

Common weak residual operators using equal-ordered discretizations.

Member Function Documentation

Advection()

void EqualOrderOperators::Residual::Advection ( Vector &  EV, const FiniteElement &  fe, const Vec3 &  AC, const Tensor &  g, double  scale = 1.0, int  basis = 1  )

static

Compute an advection term.

Parameters

[out]	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	AC	Advecting field
[in]	g	Advected field gradient
[in]	scale	Scaling factor for contribution
[in]	basis	Basis to use

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

Convection()

void EqualOrderOperators::Residual::Convection ( Vector &  EV, const FiniteElement &  fe, const Vec3 &  U, const Tensor &  dUdX, const Vec3 &  UC, double  scale, WeakOperators::ConvectionForm  form = WeakOperators::CONVECTIVE, int  basis = 1  )

static

Compute a convection term in a residual vector.

Parameters

	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	U	Advected field
[in]	dUdX	Advected field gradient
[in]	UC	Advecting field
[in]	scale	Scaling factor for contribution
[in]	form	Which form of the convective term to use
[in]	basis	Basis to use

References FiniteElement::basis(), FiniteElement::detJxW, FiniteElement::grad(), and utl::vector< T >::size().

Divergence()

void EqualOrderOperators::Residual::Divergence ( Vector &  EV, const FiniteElement &  fe, const Tensor &  dUdX, double  scale = 1.0, size_t  basis = 1  )

static

Compute a divergence term in a residual vector.

Parameters

	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	dUdX	Gradient of field
[in]	scale	Scaling factor for contribution
[in]	basis	Basis to use

References utl::vector< T >::add(), FiniteElement::basis(), FiniteElement::detJxW, and Tensor::trace().

Gradient()

void EqualOrderOperators::Residual::Gradient ( Vector &  EV, const FiniteElement &  fe, double  scale = 1.0, int  basis = 1  )

static

Compute a gradient term.

Parameters

[out]	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	scale	Scaling factor for contribution
[in]	basis	Basis to use

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

Laplacian() [1/2]

void EqualOrderOperators::Residual::Laplacian ( Vector &  EV, const FiniteElement &  fe, const Tensor &  dUdX, double  scale = 1.0, bool  stress = false, int  basis = 1  )

static

Compute a laplacian term in a residual vector.

Parameters

	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	dUdX	Current solution gradient
[in]	scale	Scaling factor for contribution
[in]	stress	Whether to add extra stress formulation terms
[in]	basis	Basis to use

References utl::vector< T >::add(), utl::matrix< T >::cols(), FiniteElement::detJxW, FiniteElement::grad(), utl::matrix< T >::multiply(), and Tensor::transpose().

Laplacian() [2/2]

void EqualOrderOperators::Residual::Laplacian ( Vector &  EV, const FiniteElement &  fe, const Vec3 &  dUdX, double  scale = 1.0, int  basis = 1  )

static

Compute a laplacian term in a residual vector.

Parameters

	EV	The element vector to add contribution to
[in]	fe	The finite element to evaluate for
[in]	dUdX	Current solution gradient
[in]	scale	Scaling factor for contribution
[in]	basis	Basis to use

References utl::matrix< T >::cols(), FiniteElement::detJxW, FiniteElement::grad(), utl::matrix< T >::multiply(), and Vec3::ptr().

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

• Apps/Common/EqualOrderOperators.h
• Apps/Common/EqualOrderOperators.C