LevelBackwardEuler Class Reference

#include <LevelTGA.H>

Inheritance diagram for LevelBackwardEuler:

[legend]

List of all members.

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Detailed Description

Implements BackwardEuler algorithm to update solution to heat equation.

The LevelBackwardEuler class implements the Runge-Kutta-based approach to solving the heat equation due to Twizell, Gumel, and Arigu.

Public Member Functions
	LevelBackwardEuler (const Vector< DisjointBoxLayout > &a_grids, const Vector< int > &a_refRat, const ProblemDomain &a_level0Domain, RefCountedPtr< AMRLevelOpFactory< LevelData< FArrayBox > > > &a_opFact, const RefCountedPtr< AMRMultiGrid< LevelData< FArrayBox > > > &a_solver)
	full constructor
virtual	~LevelBackwardEuler ()
	destructor
void	computeDiffusion (LevelData< FArrayBox > &a_DiffusiveTerm, LevelData< FArrayBox > &a_phiOld, LevelData< FArrayBox > &a_src, LevelFluxRegister *a_FineFluxRegPtr, LevelFluxRegister *a_crseFluxRegPtr, const LevelData< FArrayBox > *a_crsePhiOldPtr, const LevelData< FArrayBox > *a_crsePhiNewPtr, Real a_oldTime, Real a_crseOldTime, Real a_crseNewTime, Real a_dt, int a_level)
	computes time-centered diffusive term for explicit updating
void	updateSoln (LevelData< FArrayBox > &a_phiNew, LevelData< FArrayBox > &a_phiOld, LevelData< FArrayBox > &a_src, LevelFluxRegister *a_fineFluxRegPtr, LevelFluxRegister *a_crseFluxRegPtr, const LevelData< FArrayBox > *a_crsePhiOldPtr, const LevelData< FArrayBox > *a_crsePhiNewPtr, Real a_oldTime, Real a_crseOldTime, Real a_crseNewTime, Real a_dt, int a_level, bool a_zeroPhi=true, int a_fluxStartComponent=0)
	do solve
void	setSourceGhostCells (LevelData< FArrayBox > &a_src, const DisjointBoxLayout &a_grids, int a_level)

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Constructor & Destructor Documentation

LevelBackwardEuler::LevelBackwardEuler	(	const Vector< DisjointBoxLayout > &	a_grids,
		const Vector< int > &	a_refRat,
		const ProblemDomain &	a_level0Domain,
		RefCountedPtr< AMRLevelOpFactory< LevelData< FArrayBox > > > &	a_opFact,
		const RefCountedPtr< AMRMultiGrid< LevelData< FArrayBox > > > &	a_solver
	)			[inline]

full constructor

virtual LevelBackwardEuler::~LevelBackwardEuler

(

)

[inline, virtual]

destructor

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Member Function Documentation

void LevelBackwardEuler::computeDiffusion	(	LevelData< FArrayBox > &	a_DiffusiveTerm,
		LevelData< FArrayBox > &	a_phiOld,
		LevelData< FArrayBox > &	a_src,
		LevelFluxRegister *	a_FineFluxRegPtr,
		LevelFluxRegister *	a_crseFluxRegPtr,
		const LevelData< FArrayBox > *	a_crsePhiOldPtr,
		const LevelData< FArrayBox > *	a_crsePhiNewPtr,
		Real	a_oldTime,
		Real	a_crseOldTime,
		Real	a_crseNewTime,
		Real	a_dt,
		int	a_level
	)

computes time-centered diffusive term for explicit updating

compute time-centered L(phi) for use in subsequent update operations. In this case, we do solve for phiNew, then subtract source and old phi back out to get L(phi).

void LevelBackwardEuler::updateSoln	(	LevelData< FArrayBox > &	a_phiNew,
		LevelData< FArrayBox > &	a_phiOld,
		LevelData< FArrayBox > &	a_src,
		LevelFluxRegister *	a_fineFluxRegPtr,
		LevelFluxRegister *	a_crseFluxRegPtr,
		const LevelData< FArrayBox > *	a_crsePhiOldPtr,
		const LevelData< FArrayBox > *	a_crsePhiNewPtr,
		Real	a_oldTime,
		Real	a_crseOldTime,
		Real	a_crseNewTime,
		Real	a_dt,
		int	a_level,
		bool	a_zeroPhi = true,
		int	a_fluxStartComponent = 0
	)

do solve

update phi to a_phiNew

void LevelBackwardEuler::setSourceGhostCells	(	LevelData< FArrayBox > &	a_src,
		const DisjointBoxLayout &	a_grids,
		int	a_level
	)

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

• LevelTGA.H