Namespace containing the geometry used by mirrored cut-cell deposition. More...
#include <REAL.H>#include <RealVect.H>#include <SPACE.H>#include <CD_NamespaceHeader.H>#include <CD_NamespaceFooter.H>#include <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. | |
Enumerations | |
| enum class | MirrorDeposition::Status { MirrorDeposition::None = 0 , MirrorDeposition::Fitted = 1 , MirrorDeposition::Planar = 2 } |
| What a band cell's surface data is good for. More... | |
| enum class | MirrorDeposition::Refusal { MirrorDeposition::None , MirrorDeposition::SmallDenominator , MirrorDeposition::LargeJacobian , MirrorDeposition::NonPositiveJacobian } |
| Why reflect() refused to trust its Jacobian. More... | |
Functions | |
| 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. | |
| 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. | |
| 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. | |
Variables | |
| constexpr int | MirrorDeposition::numTangents = SpaceDim - 1 |
| Number of tangent directions on the surface. One in 2-D, two in 3-D. | |
| constexpr int | MirrorDeposition::numShapeComp = (SpaceDim * (SpaceDim + 1)) / 2 |
| Number of independent entries in a symmetric SpaceDim x SpaceDim tensor. Three in 2-D, six in 3-D. | |
| constexpr int | MirrorDeposition::compStatus = 0 |
| Component holding the band cell's status. See MirrorDeposition::Status. | |
| constexpr int | MirrorDeposition::compCentroid = 1 |
| First of the SpaceDim components holding the boundary centroid, as a PHYSICAL position. | |
| constexpr int | MirrorDeposition::compNormal = compCentroid + SpaceDim |
| First of the SpaceDim components holding the unit normal, pointing INTO the fluid. | |
| constexpr int | MirrorDeposition::compShape = compNormal + SpaceDim |
| First of the numShapeComp components holding the world-frame shape operator's upper triangle. | |
| constexpr int | MirrorDeposition::numComp = compShape + numShapeComp |
| Total number of components in the surface-data holder. Eight in 2-D, thirteen in 3-D. | |
Detailed Description
Namespace containing the geometry used by mirrored cut-cell deposition.
