mfem::common::KershawTransformation Class Reference

#include <mesh_extras.hpp>

Inheritance diagram for mfem::common::KershawTransformation:

Collaboration diagram for mfem::common::KershawTransformation:

Public Member Functions
	KershawTransformation (const int dim_, double epsy_=0.3, double epsz_=0.3, int smooth_=1)
double	right (const double eps, const double x)
double	left (const double eps, const double x)
double	step (const double a, const double b, double x)
virtual void	Eval (Vector &V, ElementTransformation &T, const IntegrationPoint &ip)
	Evaluate the vector coefficient in the element described by T at the point ip, storing the result in V. More...
virtual void	Eval (Vector &V, ElementTransformation &T, const IntegrationPoint &ip)=0
	Evaluate the vector coefficient in the element described by T at the point ip, storing the result in V. More...
virtual void	Eval (DenseMatrix &M, ElementTransformation &T, const IntegrationRule &ir)
	Evaluate the vector coefficient in the element described by T at all points of ir, storing the result in M. More...
Public Member Functions inherited from mfem::VectorCoefficient
	VectorCoefficient (int vd)
	Initialize the VectorCoefficient with vector dimension vd. More...
virtual void	SetTime (double t)
	Set the time for time dependent coefficients. More...
double	GetTime ()
	Get the time for time dependent coefficients. More...
int	GetVDim ()
	Returns dimension of the vector. More...
virtual void	Eval (DenseMatrix &M, ElementTransformation &T, const IntegrationRule &ir)
	Evaluate the vector coefficient in the element described by T at all points of ir, storing the result in M. More...
virtual void	Project (QuadratureFunction &qf)
	Fill the QuadratureFunction qf by evaluating the coefficient at the quadrature points. More...
virtual	~VectorCoefficient ()

Additional Inherited Members
Protected Attributes inherited from mfem::VectorCoefficient
int	vdim
double	time

Detailed Description

Generalized Kershaw mesh transformation in 2D and 3D, see D. Kershaw, "Differencing of the diffusion equation in Lagrangian hydrodynamic codes", JCP, 39:375–395, 1981. The input mesh should be Cartesian nx x ny x nz with nx divisible by 6 and ny, nz divisible by 2. The parameters epsy and epsz must be in (0, 1]. Uniform mesh is recovered for epsy=epsz=1. The smooth parameter controls the transition between different layers.

Definition at line 52 of file mesh_extras.hpp.

Constructor & Destructor Documentation

KershawTransformation()

mfem::common::KershawTransformation::KershawTransformation ( const int  dim_, double  epsy_ = 0.3, double  epsz_ = 0.3, int  smooth_ = 1  )

inline

Definition at line 60 of file mesh_extras.hpp.

Member Function Documentation

Eval() [1/3]

void mfem::common::KershawTransformation::Eval ( Vector &  V, ElementTransformation &  T, const IntegrationPoint &  ip  )

virtual

Evaluate the vector coefficient in the element described by T at the point ip, storing the result in V.

Note

When this method is called, the caller must make sure that the IntegrationPoint associated with T is the same as ip. This can be achieved by calling T.SetIntPoint(&ip).

Implements mfem::VectorCoefficient.

Definition at line 237 of file mesh_extras.cpp.

Eval() [2/3]

virtual void mfem::VectorCoefficient::Eval

Evaluate the vector coefficient in the element described by T at the point ip, storing the result in V.

Note

When this method is called, the caller must make sure that the IntegrationPoint associated with T is the same as ip. This can be achieved by calling T.SetIntPoint(&ip).

Eval() [3/3]

void mfem::VectorCoefficient::Eval

Evaluate the vector coefficient in the element described by T at all points of ir, storing the result in M.

The dimensions of M are GetVDim() by ir.GetNPoints() and they must be set by the implementation of this method.

The general implementation provided by the base class (using the Eval method for one IntegrationPoint at a time) can be overloaded for more efficient implementation.

Note

The IntegrationPoint associated with T is not used, and this method will generally modify this IntegrationPoint associated with T.

Definition at line 222 of file coefficient.cpp.

left()

double mfem::common::KershawTransformation::left ( const double  eps, const double  x  )

inline

Definition at line 85 of file mesh_extras.hpp.

right()

double mfem::common::KershawTransformation::right ( const double  eps, const double  x  )

inline

Definition at line 79 of file mesh_extras.hpp.

step()

double mfem::common::KershawTransformation::step ( const double  a, const double  b, double  x  )

inline

Definition at line 92 of file mesh_extras.hpp.

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

• miniapps/common/mesh_extras.hpp
• miniapps/common/mesh_extras.cpp