plb::fd Namespace Reference

Classes
struct	DirectedGradients2D
struct	DirectedGradients2D< T, Descriptor, direction, orientation, true >
struct	DirectedGradients2D< T, Descriptor, direction, orientation, false >
struct	DirectedGradients3D
struct	DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, true >
struct	DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, false >
Functions
template<typename T >
T	ctl_diff (T u_p1, T u_m1)
	Second-order central gradient (u_p1 = u(x+1)).
template<typename T >
T	fwd_diff (T u_0, T u_1, T u_2)
	Second-order forward gradient (u_1 = u(x+1)).
template<typename T >
T	bwd_diff (T u_0, T u_1, T u_2)
	Second-order backward gradient (u_1 = u(x-1)).
template<typename T >
T	o1_fwd_diff (T u_0, T u_1)
	First-order forward gradient (u_1 = u(x+1)).
template<typename T >
T	boundaryZeroGradient (T u_1, T u_2)
	Value at u_0 for which asymmetric gradient is zero (u_1 = u(x+1)).
template<typename T >
T	linearInterpolate (T u_0, T u_1, T pos)
	Linear interpolation (yields u0 at pos=0 and u1 at pos=1).

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Function Documentation

template<typename T >

T plb::fd::boundaryZeroGradient	(	T	u_1,
		T	u_2
	)			[inline]

Value at u_0 for which asymmetric gradient is zero (u_1 = u(x+1)).

Referenced by plb::FlatAdiabaticBoundaryFunctional2D< T, Descriptor, direction, orientation >::process().

template<typename T >

T plb::fd::bwd_diff	(	T	u_0,
		T	u_1,
		T	u_2
	)			[inline]

Second-order backward gradient (u_1 = u(x-1)).

References fwd_diff().

template<typename T >

T plb::fd::ctl_diff	(	T	u_p1,
		T	u_m1
	)			[inline]

Second-order central gradient (u_p1 = u(x+1)).

Referenced by plb::fdDataField::bulkXderiv(), plb::fdDataField::bulkYderiv(), plb::fdDataField::bulkZderiv(), plb::NLD_VelocityEdgeUtil3D< T, Descriptor >::computeEdgeGradient(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, false >::o2_densityDerivative(), plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, false >::o2_densityDerivative(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, false >::o2_velocityDerivative(), plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, false >::o2_velocityDerivative(), plb::BoxYderivativeFunctional2D< T >::processBulk(), plb::BoxXderivativeFunctional2D< T >::processBulk(), plb::BoxYderivativeFunctional2D< T >::processEdge(), and plb::BoxXderivativeFunctional2D< T >::processEdge().

template<typename T >

T plb::fd::fwd_diff	(	T	u_0,
		T	u_1,
		T	u_2
	)			[inline]

Second-order forward gradient (u_1 = u(x+1)).

Referenced by bwd_diff(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, true >::o2_densityDerivative(), plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, true >::o2_densityDerivative(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, true >::o2_velocityDerivative(), and plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, true >::o2_velocityDerivative().

template<typename T >

T plb::fd::linearInterpolate	(	T	u_0,
		T	u_1,
		T	pos
	)			[inline]

Linear interpolation (yields u0 at pos=0 and u1 at pos=1).

Referenced by plb::FineGridBoundaryDynamics< T, Descriptor >::completePopulations().

template<typename T >

T plb::fd::o1_fwd_diff	(	T	u_0,
		T	u_1
	)			[inline]

First-order forward gradient (u_1 = u(x+1)).

Referenced by plb::NLD_VelocityEdgeUtil3D< T, Descriptor >::computeGradientIntoPlane(), plb::NLD_VelocityCornerUtil3D< T, Descriptor >::computeVelocityGradient(), plb::NLD_VelocityCornerUtil3D< T, Descriptor >::computeVelocityGradientX(), plb::NLD_VelocityCornerUtil3D< T, Descriptor >::computeVelocityGradientY(), plb::NLD_VelocityCornerUtil3D< T, Descriptor >::computeVelocityGradientZ(), plb::fdDataField::cornerXderiv(), plb::fdDataField::cornerYderiv(), plb::fdDataField::cornerZderiv(), plb::fdDataField::edgeXderiv(), plb::fdDataField::edgeYderiv(), plb::fdDataField::edgeZderiv(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, true >::o1_densityDerivative(), plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, true >::o1_densityDerivative(), plb::fd::DirectedGradients3D< T, Descriptor, direction, orientation, deriveDirection, true >::o1_velocityDerivative(), plb::fd::DirectedGradients2D< T, Descriptor, direction, orientation, true >::o1_velocityDerivative(), plb::fdDataField::planeXderiv(), plb::fdDataField::planeYderiv(), plb::fdDataField::planeZderiv(), plb::BoxYderivativeFunctional2D< T >::processCorner(), plb::BoxXderivativeFunctional2D< T >::processCorner(), plb::BoxYderivativeFunctional2D< T >::processEdge(), and plb::BoxXderivativeFunctional2D< T >::processEdge().