Cabana::Grid::Spline< 2 > Struct Reference

Quadratic. Defined on the dual grid. More...

#include <Cabana_Grid_Splines.hpp>

Static Public Member Functions
template<class Scalar>
static KOKKOS_INLINE_FUNCTION Scalar	mapToLogicalGrid (const Scalar xp, const Scalar rdx, const Scalar low_x)
	Map a physical location to the logical space of the dual grid in a single dimension.
static KOKKOS_INLINE_FUNCTION void	offsets (int indices[num_knot])
	Get the logical space stencil offsets of the spline. The stencil defines the offsets into a grid field about a logical coordinate.
template<class Scalar>
static KOKKOS_INLINE_FUNCTION void	stencil (const Scalar x0, int indices[num_knot])
	Compute the stencil indices for a given logical space location.
template<typename Scalar>
static KOKKOS_INLINE_FUNCTION void	value (const Scalar x0, Scalar values[num_knot])
	Calculate the value of the spline at all knots.
template<typename Scalar>
static KOKKOS_INLINE_FUNCTION void	gradient (const Scalar x0, const Scalar rdx, Scalar gradients[num_knot])
	Calculate the value of the gradient of the spline in the physical frame.

Static Public Attributes
static constexpr int	order = 2
	Order.
static constexpr int	num_knot = 3
	The number of non-zero knots in the spline.

Detailed Description

Quadratic. Defined on the dual grid.

Member Function Documentation

gradient()

template<typename Scalar>

static KOKKOS_INLINE_FUNCTION void Cabana::Grid::Spline< 2 >::gradient ( const Scalar x0, const Scalar rdx, Scalar gradients[num_knot] )

inlinestatic

Calculate the value of the gradient of the spline in the physical frame.

Parameters

x0	The coordinate at which to evaluate the spline in the logical grid space.
rdx	The inverse of the physical distance between grid locations.
gradients	Basis gradient values at the knots in the physical frame. Ordered from lowest to highest in terms of knot location.

mapToLogicalGrid()

template<class Scalar>

static KOKKOS_INLINE_FUNCTION Scalar Cabana::Grid::Spline< 2 >::mapToLogicalGrid ( const Scalar xp, const Scalar rdx, const Scalar low_x )

inlinestatic

Map a physical location to the logical space of the dual grid in a single dimension.

Parameters

xp	The coordinate to map to the logical space.
rdx	The inverse of the physical distance between grid locations.
low_x	The physical location of the low corner of the dual grid.

Returns

The coordinate in the logical dual grid space.

Note

Casting this result to an integer yields the index at the center of the stencil.

A quadratic spline uses the dual grid.

offsets()

static KOKKOS_INLINE_FUNCTION void Cabana::Grid::Spline< 2 >::offsets ( int indices[num_knot] )

inlinestatic

Get the logical space stencil offsets of the spline. The stencil defines the offsets into a grid field about a logical coordinate.

Parameters

indices

The stencil index offsets.

stencil()

template<class Scalar>

static KOKKOS_INLINE_FUNCTION void Cabana::Grid::Spline< 2 >::stencil ( const Scalar x0, int indices[num_knot] )

inlinestatic

Compute the stencil indices for a given logical space location.

Parameters

x0	The coordinate at which to evaluate the spline stencil.
indices	The indices of the stencil.

value()

template<typename Scalar>

static KOKKOS_INLINE_FUNCTION void Cabana::Grid::Spline< 2 >::value ( const Scalar x0, Scalar values[num_knot] )

inlinestatic

Calculate the value of the spline at all knots.

Parameters

x0	The coordinate at which to evaluate the spline in the logical grid space.
values	Basis values at the knots. Ordered from lowest to highest in terms of knot location.

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

• grid/src/Cabana_Grid_Splines.hpp