Class for computing the required Taylor terms for doing the orthogonal extrapolation to the ghost cell position. This is used in conjuction with EBLeastSquaresMultigridInterpolator.H, and should be understood in that context only. More...

#include <CD_CoarseInterpQuadCF.H>

Public Member Functions
	CoarseInterpQuadCF () noexcept
	Default constructor. Must subsequently call the define function.

virtual	~CoarseInterpQuadCF () noexcept
	Destructor.

virtual void	define (const DisjointBoxLayout &a_dblFine, const ProblemDomain &a_domainCoar, const DataIndex &a_dit, const Box &a_fineGhostCells, const int a_refRat, const int a_ignoreDir) noexcept
	Define function. Puts object in usable state.

virtual Real	computeFirstDeriv (const FArrayBox &a_coarPhi, const IntVect &a_ivCoar, const int a_dir, const int a_coarVar) const noexcept
	Compute first-derivative Taylor term in direction a_dir.

virtual Real	computeSecondDeriv (const FArrayBox &a_coarPhi, const IntVect &a_ivCoar, const int a_dir, const int a_coarVar) const noexcept
	Compute second-derivative Taylor term in direction a_dir.

virtual Real	computeMixedDeriv (const FArrayBox &a_coarPhi, const IntVect &a_ivCoar, const int a_coarVar) const noexcept
	Compute mixed-derivative Taylor term in directions orthogonal m_ignoreDir.

virtual DerivStencil	getFirstDerivStencil (const IntVect &a_ivCoar, const int a_dir) const noexcept
	Get the first derivative stencil for the input coarse vof.

virtual DerivStencil	getSecondDerivStencil (const IntVect &a_ivCoar, const int a_dir) const noexcept
	Get the second derivative stencil for the input coarse vof.

virtual DerivStencil	getMixedDerivStencil (const IntVect &a_ivCoar) const noexcept
	Get the second derivative stencil for the input coarse vof.

Protected Types
enum class	FirstDerivStencil : unsigned short { Centered2 , Backward2 , Forward2 , Backward1 , Forward1 }
	Simple enum for holding stencil types for the first derivative.

enum class	SecondDerivStencil : unsigned short { Centered2 , Backward1 , Forward1 }
	Simple enum for holding stencil types for the second derivative.

enum class	MixedDerivStencil : unsigned short { Standard , Explicit }
	Simple enum for holding stencil types for the mixed derivative.

Protected Member Functions
virtual void	defineStencils () noexcept
	Compute all first-derivative stencils in the coarse grid cells.

virtual void	defineMixedDerivStencils () noexcept
	Compute all second-derivative stencils in the coarse grid cells.

Protected Attributes
bool	m_isDefined
	Is defined or not.

DisjointBoxLayout	m_dblFine
	Fine grids.

ProblemDomain	m_domainCoar
	Coarse domain.

DataIndex	m_dit
	Data index in the fine grid.

int	m_ignoreDir
	Interpolation direction to ignore.

int	m_tanDir1
	One tangential direction.

int	m_tanDir2
	One tangential direction.

int	m_refRat
	Refinement factor to coarse.

Box	m_stencilBox
	Coarse-grid cells corresponding to the fine-grid ghost cells.

BaseFab< FirstDerivStencil >	m_firstDerivStencils [SpaceDim]
	Stencil types for first derivative.

BaseFab< SecondDerivStencil >	m_secondDerivStencils [SpaceDim]
	Second-derivative stencils (in all directions except m_dir)

BaseFab< MixedDerivStencil >	m_mixedDerivStencils
	Identifier for whether or not we should use a standard or explicit mixed derivative stencil.

BaseFab< DerivStencil >	m_explicitMixedDerivStencils
	Mixed-derivative stencil. Only defined in 3D.

Detailed Description

Class for computing the required Taylor terms for doing the orthogonal extrapolation to the ghost cell position. This is used in conjuction with EBLeastSquaresMultigridInterpolator.H, and should be understood in that context only.

This should be defined over the fine grid. It will store stencils for computing the various required terms in the Taylor series, and the user can call various functions for getting those terms. For the record, all stencils in this object assumes that dx = 1, so the user have to normalize against his/her grid resolutions later.

Member Function Documentation

◆ computeFirstDeriv()

Real CoarseInterpQuadCF::computeFirstDeriv	(	const FArrayBox &	a_coarPhi,
		const IntVect &	a_ivCoar,
		const int	a_dir,
		const int	a_coarVar
	)		const

virtualnoexcept

Compute first-derivative Taylor term in direction a_dir.

Parameters

[in]	a_coarPhi	Coarse-side phi.
[in]	a_ivCoar	Cell where we compute.
[in]	a_dir	Direction of derivative. Must be different from m_ignoreDir
[in]	a_coarVar	a_dir Direction of derivative. Must be different from m_ignoreDir

◆ computeMixedDeriv()

Real CoarseInterpQuadCF::computeMixedDeriv	(	const FArrayBox &	a_coarPhi,
		const IntVect &	a_ivCoar,
		const int	a_coarVar
	)		const

virtualnoexcept

Compute mixed-derivative Taylor term in directions orthogonal m_ignoreDir.

Parameters

[in]	a_coarPhi	Coarse-side phi.
[in]	a_ivCoar	Cell where we compute.
[in]	a_coarVar	a_dir Direction of derivative. Must be different from m_ignoreDir

◆ computeSecondDeriv()

Real CoarseInterpQuadCF::computeSecondDeriv	(	const FArrayBox &	a_coarPhi,
		const IntVect &	a_ivCoar,
		const int	a_dir,
		const int	a_coarVar
	)		const

virtualnoexcept

Compute second-derivative Taylor term in direction a_dir.

Parameters

[in]	a_coarPhi	Coarse-side phi.
[in]	a_ivCoar	Cell where we compute.
[in]	a_dir	Direction of derivative. Must be different from m_ignoreDir
[in]	a_coarVar	a_dir Direction of derivative. Must be different from m_ignoreDir

◆ define()

void CoarseInterpQuadCF::define	(	const DisjointBoxLayout &	a_dblFine,
		const ProblemDomain &	a_domainCoar,
		const DataIndex &	a_dit,
		const Box &	a_fineGhostCells,
		const int	a_refRat,
		const int	a_ignoreDir
	)

virtualnoexcept

Define function. Puts object in usable state.

Parameters

[in]	a_dblFine	Fine grids
[in]	a_domainCoar	Coarse domain
[in]	a_dit	Data index on the fine grid
[in]	a_fineGhostCells	Ghost cells to interpolate (on the fine level)
[in]	a_refRat	Refinement factor between coarse and fine
[in]	a_ignoreDir	Coordinate to ignore when doing the interpolation. I.e., we interpolate in all coordinates except this one.

◆ defineMixedDerivStencils()

void CoarseInterpQuadCF::defineMixedDerivStencils ( )

protectedvirtualnoexcept

Compute all second-derivative stencils in the coarse grid cells.

This only needs to accurate to O(h).

◆ defineStencils()

void CoarseInterpQuadCF::defineStencils ( )

protectedvirtualnoexcept

Compute all first-derivative stencils in the coarse grid cells.

Note: Must be accurate to O(h^2).

◆ getFirstDerivStencil()

DerivStencil CoarseInterpQuadCF::getFirstDerivStencil	(	const IntVect &	a_ivCoar,
		const int	a_dir
	)		const

virtualnoexcept

Get the first derivative stencil for the input coarse vof.

This will construct the stencil for representing the derivative on the coarse cell center and return it. Useful when explicit stencil storage is required.

Parameters

[in]	a_ivCoar	Coarse-grid cell index (i.e., the one underneath the fine-grid ghost)
[in]	a_dir	Direction of derivative.

◆ getMixedDerivStencil()

DerivStencil CoarseInterpQuadCF::getMixedDerivStencil ( const IntVect & a_ivCoar ) const

virtualnoexcept

Get the second derivative stencil for the input coarse vof.

This will construct the stencil for representing the derivative on the coarse cell center and return it. Useful when explicit stencil storage is required.

Parameters

[in] a_ivCoar Coarse-grid cell index (i.e., the one underneath the fine-grid ghost)

◆ getSecondDerivStencil()

DerivStencil CoarseInterpQuadCF::getSecondDerivStencil	(	const IntVect &	a_ivCoar,
		const int	a_dir
	)		const

virtualnoexcept

Get the second derivative stencil for the input coarse vof.

This will construct the stencil for representing the derivative on the coarse cell center and return it. Useful when explicit stencil storage is required.

Parameters

[in]	a_ivCoar	Coarse-grid cell index (i.e., the one underneath the fine-grid ghost)
[in]	a_dir	Direction of derivative.

Member Data Documentation

◆ m_stencilBox

Box CoarseInterpQuadCF::m_stencilBox

protected

Coarse-grid cells corresponding to the fine-grid ghost cells.

Note: This is the coarsened box of the fine-grid ghost cell layer, and is where we've defined all our stencils.

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

Source/AmrMesh/CD_CoarseInterpQuadCF.H
Source/AmrMesh/CD_CoarseInterpQuadCF.cpp

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Function Documentation

◆ computeFirstDeriv()

◆ computeMixedDeriv()

◆ computeSecondDeriv()

◆ define()

◆ defineMixedDerivStencils()

◆ defineStencils()

◆ getFirstDerivStencil()

◆ getMixedDerivStencil()

◆ getSecondDerivStencil()

Member Data Documentation

◆ m_stencilBox