TranslationOperatorFourier Class Reference

The exact translation operator in PW basis, although much slower and with potential ringing issues. More...

#include <TranslationOperator.h>

Inheritance diagram for TranslationOperatorFourier:

Public Member Functions
	TranslationOperatorFourier (const GridInfo &gInfo)
void	taxpy (const vector3<> &t, double alpha, const ScalarField &x, ScalarField &y) const
Public Member Functions inherited from TranslationOperator
	TranslationOperator (const GridInfo &gInfo)

Additional Inherited Members
Public Attributes inherited from TranslationOperator
const GridInfo &	gInfo

Detailed Description

The exact translation operator in PW basis, although much slower and with potential ringing issues.

Member Function Documentation

void TranslationOperatorFourier::taxpy ( const vector3<> &  t, double  alpha, const ScalarField &  x, ScalarField &  y  ) const

virtual

Compute \( y += alpha T_t(x) \) , where \( T_t \) is the translation operator \( T_t(x(r)) = x(r+t) \) modulo the lattice vectors T must conserve integral(x) and satisfy \( T^{\dagger}_t = T_{-t} \) exactly for gradient correctness Note that \( T^{-1}_t = T_{-t} \) may only be approximately true for some implementations.

Implements TranslationOperator.

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

• fluid/TranslationOperator.h