#include <cmath>
#include <CD_MirrorDeposition.H>
#include <CD_NamespaceHeader.H>
#include <CD_NamespaceFooter.H>

Include dependency graph for CD_MirrorDepositionImplem.H:

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Namespaces
namespace	MirrorDeposition
	Geometry for mirrored cut-cell deposition, i.e. the even extension of the density about an embedded boundary.

Functions
int	MirrorDeposition::shapeIndex (const int a_i, const int a_j) noexcept
	Index into the stored upper triangle of a symmetric SpaceDim x SpaceDim tensor.

void	MirrorDeposition::liftShapeOperator (const RealVect(&a_tangents)[numTangents], const Real(&a_S)[numTangents][numTangents], Real(&a_shape)[numShapeComp]) noexcept
	Lift a shape operator from the tangent frame into world coordinates.

Real	MirrorDeposition::shapeEntry (const Real *a_shape, const int a_i, const int a_j) noexcept
	Read one entry of a world-frame shape operator stored as an upper triangle.

RealVect	MirrorDeposition::applyShapeOperator (const Real *a_shape, const RealVect &a_vec) noexcept
	Apply a world-frame shape operator to a vector.

Real	MirrorDeposition::meanCurvatureTimesTwo (const Real *a_shape) noexcept
	Twice the mean curvature, i.e. the first invariant of the shape operator.

Real	MirrorDeposition::gaussianCurvature (const Real *a_shape) noexcept
	Gaussian curvature, i.e. the second invariant of the shape operator.

Real	MirrorDeposition::jacobian (const Real a_twoH, const Real a_K, const Real a_d, Real &a_denominator) noexcept
	The exact area/volume Jacobian of the reflection across a curved surface.

bool	MirrorDeposition::reflect (const RealVect &a_pos, const Real *a_surfaceData, const Real a_maxJacobian, const Real a_minDenominator, RealVect &a_image, Real &a_jacobian, Real &a_signedDistance, Refusal &a_refusal) noexcept
	Reflect a position across the quadratic surface patch stored for its cell, and weight the image.

Detailed Description

Namespaces