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THexaIsoparametric Class Reference

#include <HexaIsoparametric.h>

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Public Member Functions

 THexaIsoparametric ()
 
void GetOrigFromRef (double eta, double xi, double zeta, double &x, double &y, double &z)
 
void GetOrigFromRef (int N_Points, double *eta, double *xi, double *zeta, double *x, double *y, double *z, double *absdetjk)
 
void GetOrigFromRef (double *ref, double *orig)
 
void GetRefFromOrig (double x, double y, double z, double &eta, double &xi, double &zeta)
 
void GetRefFromOrig (double *orig, double *ref)
 
void GetOrigValues (BaseFunct3D BaseFunct, int N_Points, double *xi, double *eta, double *zeta, int N_Functs, QuadFormula3D HexaFormula)
 
void GetOrigValues (int N_Sets, BaseFunct3D *BaseFunct, int N_Points, double *xi, double *eta, double *zeta, QuadFormula3D HexaFormula, bool *Needs2ndDer)
 
void GetOrigValues (double xi, double eta, double zeta, int N_BaseFunct, double *uref, double *uxiref, double *uetaref, double *uzetaref, double *uorig, double *uxorig, double *uyorig, double *uzorig)
 
void GetOrigValues (int JointNr, double p1, double p2, int N_BaseFunct, double *uref, double *uxiref, double *uetaref, double *uzetaref, double *uorig, double *uxorig, double *uyorig, double *uzorig)
 
void SetCell (TBaseCell *cell)
 
void SetApproximationOrder (int order)
 
void SetQuadFormula (QuadFormula3D formula)
 
void GetOuterNormal (int j, double s, double t, double &n1, double &n2, double &n3)
 
void GetTangentVectors (int j, double p1, double p2, double &t11, double &t12, double &t13, double &t21, double &t22, double &t23)
 
- Public Member Functions inherited from TRefTrans3D
 TRefTrans3D ()
 
void GetOrigFromRef (double xi, double eta, double zeta, double &x, double &y, double &z)
 
void GetOrigFromRef (double *ref, double *orig)
 
void GetRefFromOrig (double x, double y, double z, double &xi, double &eta, double &zeta)
 
void GetRefFromOrig (double *orig, double *ref)
 
void GetOrigValues (TBaseCell *cell)
 
void GetOuterNormal (int j, double s, double t, double &n1, double &n2, double &n3)
 
void GetTangentVectors (int j, double p1, double p2, double &t11, double &t12, double &t13, double &t21, double &t22, double &t23)
 
virtual void PiolaMapOrigFromRef (int N_Functs, double *refD00, double *origD00)
 

Protected Attributes

double x0
 
double x1
 
double x2
 
double x3
 
double x4
 
double x5
 
double x6
 
double x7
 
double y0
 
double y1
 
double y2
 
double y3
 
double y4
 
double y5
 
double y6
 
double y7
 
double z0
 
double z1
 
double z2
 
double z3
 
double z4
 
double z5
 
double z6
 
double z7
 
double xc0
 
double xc1
 
double xc2
 
double xc3
 
double xc4
 
double xc5
 
double xc6
 
double xc7
 
double yc0
 
double yc1
 
double yc2
 
double yc3
 
double yc4
 
double yc5
 
double yc6
 
double yc7
 
double zc0
 
double zc1
 
double zc2
 
double zc3
 
double zc4
 
double zc5
 
double zc6
 
double zc7
 
int N_AuxPoints
 
double XDistance [MaxN_BaseFunctions3D]
 
double YDistance [MaxN_BaseFunctions3D]
 
double ZDistance [MaxN_BaseFunctions3D]
 
int ApproximationOrder
 
double FctValues [MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
 
double XiDerValues [MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
 
double EtaDerValues [MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
 
double ZetaDerValues [MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
 
double DoubleAux [MaxN_BaseFunctions3D]
 
int IntAux [MaxN_BaseFunctions3D]
 
QuadFormula3D QuadFormula
 
double * XI
 
double * ETA
 
double * ZETA
 
double * W
 
int N_QuadPoints
 
double detjk
 
double rec_detjk
 
- Protected Attributes inherited from TRefTrans3D
TBaseCellCell
 

Static Protected Attributes

static BaseFunct3D BaseFunctFromOrder []
 
static FEDesc3D FEDescFromOrder []
 

Detailed Description

reference transformations for Hexahedron

Constructor & Destructor Documentation

THexaIsoparametric::THexaIsoparametric ( )

constuctor

Member Function Documentation

void THexaIsoparametric::GetOrigFromRef ( double  xi,
double  eta,
double  zeta,
double &  X,
double &  Y,
double &  Z 
)

transfer from reference element to original element

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void THexaIsoparametric::GetOrigFromRef ( int  N_Points,
double *  xi,
double *  eta,
double *  zeta,
double *  X,
double *  Y,
double *  Z,
double *  absdetjk 
)

transfer a set of points form reference to original element

transfer a set of point from reference to original element

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void THexaIsoparametric::GetOrigFromRef ( double *  ref,
double *  orig 
)

transfer form reference element to original element

transfer from reference element to original element

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void THexaIsoparametric::GetOrigValues ( BaseFunct3D  BaseFunct,
int  N_Points,
double *  xi,
double *  eta,
double *  zeta,
int  N_Functs,
QuadFormula3D  quadformula 
)

calculate functions and derivatives from reference element to original element

void THexaIsoparametric::GetOrigValues ( int  N_Sets,
BaseFunct3D *  BaseFuncts,
int  N_Points,
double *  xi,
double *  eta,
double *  zeta,
QuadFormula3D  quadformula,
bool *  Needs2ndDer 
)

calculate functions and derivatives from reference element to original element, for all given elements

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void THexaIsoparametric::GetOrigValues ( double  xi,
double  eta,
double  zeta,
int  N_BaseFunct,
double *  uref,
double *  uxiref,
double *  uetaref,
double *  uzetaref,
double *  uorig,
double *  uxorig,
double *  uyorig,
double *  uzorig 
)

calculate functions and derivatives from reference element to original element

void THexaIsoparametric::GetOrigValues ( int  JointNr,
double  p1,
double  p2,
int  N_BaseFunct,
double *  uref,
double *  uxiref,
double *  uetaref,
double *  uzetaref,
double *  uorig,
double *  uxorig,
double *  uyorig,
double *  uzorig 
)

calculate functions and derivatives from reference element to original element on joint, parameters on joint are p1, p2

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void THexaIsoparametric::GetOuterNormal ( int  j,
double  s,
double  t,
double &  n1,
double &  n2,
double &  n3 
)

return outer normal unit vector

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void THexaIsoparametric::GetRefFromOrig ( double  X,
double  Y,
double  Z,
double &  xi,
double &  eta,
double &  zeta 
)

transfer from original element to reference element

void THexaIsoparametric::GetRefFromOrig ( double *  orig,
double *  ref 
)

transfer from original element to reference element

void THexaIsoparametric::GetTangentVectors ( int  j,
double  p1,
double  p2,
double &  t11,
double &  t12,
double &  t13,
double &  t21,
double &  t22,
double &  t23 
)

return two tangent vectors

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void THexaIsoparametric::SetApproximationOrder ( int  order)
inline

set order of approximation

void THexaIsoparametric::SetCell ( TBaseCell cell)
virtual

set element to cell

Reimplemented from TRefTrans3D.

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void THexaIsoparametric::SetQuadFormula ( QuadFormula3D  formula)
inline

set used quadrature formula

Member Data Documentation

int THexaIsoparametric::ApproximationOrder
protected

order of approximation

BaseFunct3D THexaIsoparametric::BaseFunctFromOrder
staticprotected
Initial value:
= {
BF_C_H_Q0_3D, BF_C_H_Q1_3D, BF_C_H_Q2_3D, BF_C_H_Q3_3D,
BF_C_H_Q4_3D, BF_C_H_Q00_3D}

base function type for each order of approximation

double THexaIsoparametric::detjk
protected

detjk

double THexaIsoparametric::DoubleAux[MaxN_BaseFunctions3D]
protected

auxiliary array

double THexaIsoparametric::EtaDerValues[MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
protected

eta-derivatives of corresponding base function at quadpoints

double THexaIsoparametric::FctValues[MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
protected

values of corresponding base function at quadpoints

FEDesc3D THexaIsoparametric::FEDescFromOrder
staticprotected
Initial value:
= {
FE_C_H_Q0_3D, FE_C_H_Q1_3D, FE_C_H_Q2_3D, FE_C_H_Q3_3D,
FE_C_H_Q4_3D, FE_C_H_Q00_3D}

base function type for each order of approximation

int THexaIsoparametric::IntAux[MaxN_BaseFunctions3D]
protected

auxiliary array

int THexaIsoparametric::N_AuxPoints
protected

number of additional points

int THexaIsoparametric::N_QuadPoints
protected

number of quadrature points

QuadFormula3D THexaIsoparametric::QuadFormula
protected

used quadrature rule

double THexaIsoparametric::rec_detjk
protected

1/detjk

double THexaIsoparametric::x0
protected

x coordinate

double THexaIsoparametric::xc0
protected

x parameters for reference transformation

double THexaIsoparametric::XDistance[MaxN_BaseFunctions3D]
protected

distance in x direction between real auxiliary point and its position after a trilinear mapping

double* THexaIsoparametric::XI
protected

for data from quadrature formula

double THexaIsoparametric::XiDerValues[MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
protected

xi-derivatives of corresponding base function at quadpoints

double THexaIsoparametric::y0
protected

y coordinate

double THexaIsoparametric::yc0
protected

y parameters for reference transformation

double THexaIsoparametric::YDistance[MaxN_BaseFunctions3D]
protected

distance in y direction between real auxiliary point and its position after a trilinear mapping

double THexaIsoparametric::z0
protected

z coordinate

double THexaIsoparametric::zc0
protected

z parameters for reference transformation

double THexaIsoparametric::ZDistance[MaxN_BaseFunctions3D]
protected

distance in z direction between real auxiliary point and its position after a trilinear mapping

double THexaIsoparametric::ZetaDerValues[MaxN_QuadPoints_3D][MaxN_BaseFunctions3D]
protected

zeta-derivatives of corresponding base function at quadpoints


The documentation for this class was generated from the following files: