MonomialIF Class Reference

#include <MonomialIF.H>

Inheritance diagram for MonomialIF:

Detailed Description

This implicit function specifies a Monomial.


Public Member Functions
	MonomialIF (const IndexTM< int, SpaceDim-1 > &a_power, const bool &a_inside)
virtual	~MonomialIF ()
	Destructor.
virtual Real	value (const IndexTM< int, SpaceDim > &a_partialDerivative, const IndexTM< Real, SpaceDim > &a_point) const
virtual Real	value (const RealVect &a_point) const
virtual Real	value (const IndexTM< Real, SpaceDim > &a_point) const
virtual BaseIF *	newImplicitFunction () const
virtual IndMomSpaceDim	getExactVolumeMoments (const VolIndex &a_vof, const Real &a_dx) const
	return int x^p dV for the vof
virtual IndMomSpaceDim	getExactEBMoments (const VolIndex &a_vof, const Real &a_dx) const
	return int_eb x^p dA for the eb
virtual IndMomSpaceDim	getExactEBNormalMoments (const VolIndex &a_vof, const Real &a_dx, const int &a_ni) const
	return int_eb x^p n_i dA for the eb
virtual IndMomSpaceDim	getExactEBNormalPartialDerivs (const VolIndex &a_vof, const Real &a_dx, const int &a_ni) const
Real	getZerothDerivativeOfXNormal (const Real &a_xloc) const
Real	getFirstDerivativeOfXNormal (const Real &a_xloc) const
Real	getSecondDerivativeOfXNormal (const Real &a_xloc) const
Real	getThirdDerivativeOfXNormal (const Real &a_xloc) const
Real	getFourthDerivativeOfXNormal (const Real &a_xloc) const
Real	getZerothDerivativeOfYNormal (const Real &a_xloc) const
Real	getFirstDerivativeOfYNormal (const Real &a_xloc) const
Real	getSecondDerivativeOfYNormal (const Real &a_xloc) const
Real	getThirdDerivativeOfYNormal (const Real &a_xloc) const
Real	getFourthDerivativeOfYNormal (const Real &a_xloc) const
virtual IndMomSDMinOne	getExactFaceMoments (const FaceIndex &a_face, const Real &a_dx) const
	return int x^p dA for the face
void	getTloThi (bool &a_noEB, Real &a_tlo, Real &a_thi, const VolIndex &a_vof, const Real &a_dx) const
Real	getEBNormMomX (const Real &a_tlo, const Real &a_thi, const IvSpaceDim &a_p) const
Real	getEBNormMomY (const Real &a_tlo, const Real &a_thi, const IvSpaceDim &a_p) const
Real	xToTheQ (const IndexTM< Real, SpaceDim > &a_point) const
IndMomSpaceDim	getUncutVolumeSection (const RealVect &a_xlo, const RealVect &a_xhi, const RealVect &a_xbar, const Real &a_dx) const
IndMomSpaceDim	getCutVolumeSection (const RealVect &a_xlo, const RealVect &a_xhi, const RealVect &a_xbar, const Real &a_dx) const
void	shiftToXBar (IndMomSpaceDim &a_moment, const RealVect &a_xbar) const
Protected Attributes
IndexTM< int, SpaceDim-1 >	m_power
bool	m_inside
Private Member Functions
	MonomialIF ()

Constructor & Destructor Documentation

MonomialIF::MonomialIF	(	const IndexTM< int, SpaceDim-1 > &	a_power,
		const bool &	a_inside
	)

in 2d y = (x)^p[0] in 3d z = [(x)^p[0]*(y)^p[1]]

p == a_power

virtual MonomialIF::~MonomialIF ( ) [inline, virtual]

Destructor.

MonomialIF::MonomialIF ( ) [private]

Member Function Documentation

virtual Real MonomialIF::value	(	const IndexTM< int, SpaceDim > &	a_partialDerivative,
		const IndexTM< Real, SpaceDim > &	a_point
	)			const `[virtual]`

virtual Real MonomialIF::value ( const RealVect & a_point ) const [virtual]

Return the value of the function at a_point. When delineating a domain, the level set value=0 represents the boundary and value<0 is inside the fluid.

Implements BaseIF.

virtual Real MonomialIF::value ( const IndexTM< Real, SpaceDim > & a_point ) const [virtual]

virtual BaseIF* MonomialIF::newImplicitFunction ( ) const [virtual]

Return a newly allocated derived class. The responsibility for deleting the memory is left to the calling function.

Implements BaseIF.

virtual IndMomSpaceDim MonomialIF::getExactVolumeMoments	(	const VolIndex &	a_vof,
		const Real &	a_dx
	)			const `[virtual]`

return int x^p dV for the vof

Reimplemented from BaseIF.

virtual IndMomSpaceDim MonomialIF::getExactEBMoments	(	const VolIndex &	a_vof,
		const Real &	a_dx
	)			const `[virtual]`

return int_eb x^p dA for the eb

Reimplemented from BaseIF.

virtual IndMomSpaceDim MonomialIF::getExactEBNormalMoments	(	const VolIndex &	a_vof,
		const Real &	a_dx,
		const int &	a_ni
	)			const `[virtual]`

return int_eb x^p n_i dA for the eb

Reimplemented from BaseIF.

virtual IndMomSpaceDim MonomialIF::getExactEBNormalPartialDerivs	(	const VolIndex &	a_vof,
		const Real &	a_dx,
		const int &	a_ni
	)			const `[virtual]`

Reimplemented from BaseIF.

Real MonomialIF::getZerothDerivativeOfXNormal ( const Real & a_xloc ) const

Real MonomialIF::getFirstDerivativeOfXNormal ( const Real & a_xloc ) const

Real MonomialIF::getSecondDerivativeOfXNormal ( const Real & a_xloc ) const

Real MonomialIF::getThirdDerivativeOfXNormal ( const Real & a_xloc ) const

Real MonomialIF::getFourthDerivativeOfXNormal ( const Real & a_xloc ) const

Real MonomialIF::getZerothDerivativeOfYNormal ( const Real & a_xloc ) const

Real MonomialIF::getFirstDerivativeOfYNormal ( const Real & a_xloc ) const

Real MonomialIF::getSecondDerivativeOfYNormal ( const Real & a_xloc ) const

Real MonomialIF::getThirdDerivativeOfYNormal ( const Real & a_xloc ) const

Real MonomialIF::getFourthDerivativeOfYNormal ( const Real & a_xloc ) const

virtual IndMomSDMinOne MonomialIF::getExactFaceMoments	(	const FaceIndex &	a_face,
		const Real &	a_dx
	)			const `[virtual]`

return int x^p dA for the face

Reimplemented from BaseIF.

void MonomialIF::getTloThi	(	bool &	a_noEB,
		Real &	a_tlo,
		Real &	a_thi,
		const VolIndex &	a_vof,
		const Real &	a_dx
	)			const

Real MonomialIF::getEBNormMomX	(	const Real &	a_tlo,
		const Real &	a_thi,
		const IvSpaceDim &	a_p
	)			const

Real MonomialIF::getEBNormMomY	(	const Real &	a_tlo,
		const Real &	a_thi,
		const IvSpaceDim &	a_p
	)			const

Real MonomialIF::xToTheQ ( const IndexTM< Real, SpaceDim > & a_point ) const

IndMomSpaceDim MonomialIF::getUncutVolumeSection	(	const RealVect &	a_xlo,
		const RealVect &	a_xhi,
		const RealVect &	a_xbar,
		const Real &	a_dx
	)			const

IndMomSpaceDim MonomialIF::getCutVolumeSection	(	const RealVect &	a_xlo,
		const RealVect &	a_xhi,
		const RealVect &	a_xbar,
		const Real &	a_dx
	)			const

void MonomialIF::shiftToXBar	(	IndMomSpaceDim &	a_moment,
		const RealVect &	a_xbar
	)			const

Member Data Documentation

IndexTM<int, SpaceDim-1> MonomialIF::m_power [protected]

bool MonomialIF::m_inside [protected]

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

MonomialIF.H

MonomialIF Class Reference

Detailed Description

Public Member Functions

Protected Attributes

Private Member Functions

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation