GodunovUtilities Class Reference

#include <GodunovUtilities.H>

Collaboration diagram for GodunovUtilities:

[legend]List of all members.


Public Member Functions
	GodunovUtilities ()
	Constructor.
	~GodunovUtilities ()
	Destructor.
void	define (ProblemDomain &a_domain, const Real &a_dx)
	Define the object.
void	computeFlattening (FArrayBox &a_flattening, const FArrayBox &a_W, const Interval &a_velInt, const int &a_presInd, const Real &a_smallPres, const int &a_bulkModulusInd, const Box &a_box)
	Compute the slope flattening coefficients.
void	applyFlattening (FArrayBox &a_dW, const FArrayBox &a_flat, const Box &a_box)
	Apply the flattening to slopes.
void	vanLeerSlopes (FArrayBox &a_dW, const FArrayBox &a_W, const int &a_numSlopes, const bool &a_useLimiting, const int &a_dir, const Box &a_box)
	Compute componentwise van Leer slopes.
void	fourthOrderSlopes (FArrayBox &a_dW4, const FArrayBox &a_W, const FArrayBox &a_dWvL, const int &a_numSlopes, const int &a_dir, const Box &a_box)
	Compute fourth-order slopes.
void	oneSidedDifferences (FArrayBox &a_dWMinus, FArrayBox &a_dWPlus, const FArrayBox &a_W, const int &a_dir, const Box &a_box)
	Compute slopes (dW- and dW+) using one sided differences.
void	slopes (FArrayBox &a_dWCent, FArrayBox &a_dWMinus, FArrayBox &a_dWPlus, const FArrayBox &a_W, const int &a_numSlopes, const int &a_dir, const Box &a_loBox, const Box &a_hiBox, const Box &a_centerBox, const Box &a_entireBox, const int &a_hasLo, const int &a_hasHi)
	Compute slopes (dW (center), dW-, and dW+).
void	slopeLimiter (FArrayBox &a_dW, const FArrayBox &a_dWMinus, const FArrayBox &a_dWPlus, const int &a_numSlopes, const Box &a_box)
	van Leer slope limiter.
void	PLMNormalPred (FArrayBox &a_dWCharMinus, FArrayBox &a_dWCharPlus, const FArrayBox &a_dWChar, const FArrayBox &a_Lambda, const Real &a_dtbydx, const Box &a_box)
	PLM normal predictor.
void	PPMFaceValues (FArrayBox &a_WFace, const FArrayBox &a_W, const int &a_numSlopes, const bool &a_useLimiting, const int &a_dir, const Box &a_box, const Real &a_time, const GodunovPhysics *a_physPtr=NULL)
	PPM face-centered interpolant.
void	PPMLimiter (FArrayBox &a_dWMinus, FArrayBox &a_dWPlus, const int &a_numSlopes, const Box &a_box)
	PPM Limiter.
void	PPMNormalPred (FArrayBox &a_dWMinus, FArrayBox &a_dWPlus, const FArrayBox &a_Lambda, const Real &a_dtbydx, const int &a_numSlopes, const Box &a_box)
	PPM normal predictor.
void	divVel (FArrayBox &a_divVel, const FArrayBox &a_W, const Interval &a_velInt, const int &a_dir, const Box &a_box)
	Compute face-centered velocity divergence.
void	artificialViscosity (FArrayBox &a_Flux, const FArrayBox &a_U, const FArrayBox &a_divVel, const Real &a_scale, const int &a_dir, const Box &a_box)
	Compute face-centered artificial viscosity flux.
Protected Attributes
ProblemDomain	m_domain
Real	m_dx
bool	m_isDefined

Detailed Description

Utility class for higher-order Godunov methods: slopes, parabolic interpolants, limiters. Contains no physics-dependent methods, but one of the member functions (PPMFaceLimiter) may require a pointer to a physics class analysis class in order to perform limiting in characteristic variables.

Constructor & Destructor Documentation

GodunovUtilities::GodunovUtilities ( )

Constructor.

GodunovUtilities::~GodunovUtilities ( )

Destructor.

Member Function Documentation

void GodunovUtilities::applyFlattening ( FArrayBox & a_dW,

const FArrayBox & a_flat,

const Box & a_box

)

Apply the flattening to slopes.

void GodunovUtilities::artificialViscosity ( FArrayBox & a_Flux,

const FArrayBox & a_U,

const FArrayBox & a_divVel,

const Real & a_scale,

const int & a_dir,

const Box & a_box

)

Compute face-centered artificial viscosity flux.
Increments face-centered flux in the a_dir direction with quadratic artificial viscosity.

void GodunovUtilities::computeFlattening ( FArrayBox & a_flattening,

const FArrayBox & a_W,

const Interval & a_velInt,

const int & a_presInd,

const Real & a_smallPres,

const int & a_bulkModulusInd,

const Box & a_box

)

Compute the slope flattening coefficients.
Compute the slope flattening coefficients, a_flattening, using the primitive variables, a_W, within a_box.

void GodunovUtilities::define ( ProblemDomain & a_domain,

const Real & a_dx

)

Define the object.

void GodunovUtilities::divVel ( FArrayBox & a_divVel,

const FArrayBox & a_W,

const Interval & a_velInt,

const int & a_dir,

const Box & a_box

)

Compute face-centered velocity divergence.
Returns face-centered velocity divergence on for faces in the direction a_dir. The velocities are the components a_velInterval of a_W.

void GodunovUtilities::fourthOrderSlopes ( FArrayBox & a_dW4,

const FArrayBox & a_W,

const FArrayBox & a_dWvL,

const int & a_numSlopes,

const int & a_dir,

const Box & a_box

)

Compute fourth-order slopes.
Given cell averages W and van Leer slopes dWvL, compute fourth-order slopes dW4. Limiting is performed in a separate pass.

void GodunovUtilities::oneSidedDifferences ( FArrayBox & a_dWMinus,

FArrayBox & a_dWPlus,

const FArrayBox & a_W,

const int & a_dir,

const Box & a_box

)

Compute slopes (dW- and dW+) using one sided differences.

void GodunovUtilities::PLMNormalPred ( FArrayBox & a_dWCharMinus,

FArrayBox & a_dWCharPlus,

const FArrayBox & a_dWChar,

const FArrayBox & a_Lambda,

const Real & a_dtbydx,

const Box & a_box

)

PLM normal predictor.
Compute the increments in the characteristic amplitudes

void GodunovUtilities::PPMFaceValues ( FArrayBox & a_WFace,

const FArrayBox & a_W,

const int & a_numSlopes,

const bool & a_useLimiting,

const int & a_dir,

const Box & a_box,

const Real & a_time,

const GodunovPhysics * a_physPtr = NULL

)

PPM face-centered interpolant.
Given the cell average W and the van Leer slope dWvL, compute fourth-order accurate face-centered values WFace given by differentiating the indefinite integral. Limiting is performed in a separate pass.

void GodunovUtilities::PPMLimiter ( FArrayBox & a_dWMinus,

FArrayBox & a_dWPlus,

const int & a_numSlopes,

const Box & a_box

)

PPM Limiter.
On input, dWMinus and dWPlus are the differences between the face values on the minus and plus sides of cells and the average in the cell. The PPM limiter is applied to these values to obtain a monotone interpolant in the cell.

void GodunovUtilities::PPMNormalPred ( FArrayBox & a_dWMinus,

FArrayBox & a_dWPlus,

const FArrayBox & a_Lambda,

const Real & a_dtbydx,

const int & a_numSlopes,

const Box & a_box

)

PPM normal predictor.
On input, dW{Minus,Plus}, contain the characteristic expansions of the differences between the {minus, plus} face values and the cell average. On output, dW{Minus,Plus} contain the characteristic amplitudes of the corrections required to compute the normal predictor.

void GodunovUtilities::slopeLimiter ( FArrayBox & a_dW,

const FArrayBox & a_dWMinus,

const FArrayBox & a_dWPlus,

const int & a_numSlopes,

const Box & a_box

)

van Leer slope limiter.
On input, dW contains the centered, unlimited slopes, and dW{Minus,Plus} contain the one-sided slopes from the minus, plus sides. On output, dW contains the limited slopes. slopes dW4. Limiting is performed in a separate pass.

void GodunovUtilities::slopes ( FArrayBox & a_dWCent,

FArrayBox & a_dWMinus,

FArrayBox & a_dWPlus,

const FArrayBox & a_W,

const int & a_numSlopes,

const int & a_dir,

const Box & a_loBox,

const Box & a_hiBox,

const Box & a_centerBox,

const Box & a_entireBox,

const int & a_hasLo,

const int & a_hasHi

)

Compute slopes (dW (center), dW-, and dW+).

void GodunovUtilities::vanLeerSlopes ( FArrayBox & a_dW,

const FArrayBox & a_W,

const int & a_numSlopes,

const bool & a_useLimiting,

const int & a_dir,

const Box & a_box

)

Compute componentwise van Leer slopes.
Given cell averages W, compute van Leer slopes dW on a component-by-component basis.

Member Data Documentation

ProblemDomain GodunovUtilities::m_domain [protected]

Real GodunovUtilities::m_dx [protected]

bool GodunovUtilities::m_isDefined [protected]

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

GodunovUtilities.H

Generated on Wed Oct 5 12:47:42 2005 for Chombo&AMRIdealMHD by

1.4.1

GodunovUtilities Class Reference

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation