IFEM/CoordinateMapping_8h_source.html

 // $Id$

 //==============================================================================

 //==============================================================================


 #ifndef _COORDINATE_MAPPING_H

 #define _COORDINATE_MAPPING_H


 #include "matrixnd.h"


 class Vec3;


 namespace utl

 {

   Real Jacobian(matrix<Real>& J, matrix<Real>& dNdX,

                 const matrix<Real>& X, const matrix<Real>& dNdu,

                 bool computeGradient = true);


   Real Jacobian(matrix<Real>& J, Vec3& t, matrix<Real>& dNdX,

                 const matrix<Real>& X, const matrix<Real>& dNdu,

                 size_t tangent);


   Real Jacobian(matrix<Real>& J, Vec3& n, matrix<Real>& dNdX,

                 const matrix<Real>& X, const matrix<Real>& dNdu,

                 size_t t1, size_t t2);


   bool Hessian(matrix3d<Real>& H, matrix3d<Real>& d2NdX2,

                const matrix<Real>& Ji, const matrix<Real>& X,

                const matrix3d<Real>& d2Ndu2, const matrix<Real>& dNdX,

                bool geoMapping = true);

   void Hessian(const matrix3d<Real>& Hess, matrix<Real>& H);


   void getGmat(const matrix<Real>& Ji, const Real* du, matrix<Real>& G);


   bool Hessian2(matrix4d<Real>& d3NdX3,

                 const matrix<Real>& Ji, const matrix4d<Real>& d3Ndu3);


   void JacobianGradient(const matrix<Real>& dudX,

                         const matrix3d<Real>& d2Xdu2,

                         std::vector<matrix<Real>>& dJdX);


   void detJacGradient(const matrix<Real>& J, const matrix<Real>& Ji,

                       const matrix3d<Real>& H, std::vector<Real>& ddet);

 }


 #endif

Real
#define Real
The floating point type to use.
Definition: ImmersedBoundaries.h:18

Vec3
Simple class for representing a point in 3D space.
Definition: Vec3.h:27

matrixnd.h
Simple template classes for dense multi-dimensional matrices.

utl
General utility classes and functions.
Definition: SIMoptions.h:22

utl::detJacGradient
void detJacGradient(const matrix< Real > &J, const matrix< Real > &Ji, const matrix3d< Real > &H, std::vector< Real > &ddet)
Calculates the derivatives of determinant of the Jacobian.
Definition: CoordinateMapping.C:329

utl::JacobianGradient
void JacobianGradient(const matrix< Real > &dudX, const matrix3d< Real > &d2Xdu2, std::vector< matrix< Real >> &dJdX)
Calculates the derivatives of the Jacobian of the coordinate mapping.
Definition: CoordinateMapping.C:302

utl::Hessian
bool Hessian(matrix3d< Real > &H, matrix3d< Real > &d2NdX2, const matrix< Real > &Ji, const matrix< Real > &X, const matrix3d< Real > &d2Ndu2, const matrix< Real > &dNdX, bool geoMapping=true)
Set up the Hessian matrix of the coordinate mapping.
Definition: CoordinateMapping.C:136

utl::Jacobian
Real Jacobian(matrix< Real > &J, matrix< Real > &dNdX, const matrix< Real > &X, const matrix< Real > &dNdu, bool computeGradient=true)
Set up the Jacobian matrix of the coordinate mapping.
Definition: CoordinateMapping.C:24

utl::getGmat
void getGmat(const matrix< Real > &Ji, const Real *du, matrix< Real > &G)
Compute the stabilization matrix G from the Jacobian inverse.
Definition: CoordinateMapping.C:213

utl::Hessian2
bool Hessian2(matrix4d< Real > &d3NdX3, const matrix< Real > &Ji, const matrix4d< Real > &d3Ndu3)
Set up third-order derivatives of the coordinate mapping.
Definition: CoordinateMapping.C:229