IFEM-2/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::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::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::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