OGS
NumLib::ShapePyra5 Class Reference

## Detailed Description

Shape function for a 5-nodes pyramid element in natural coordinates

Definition at line 21 of file ShapePyra5.h.

#include <ShapePyra5.h>

## Public Types

using MeshElement = MeshLib::Pyramid

## Static Public Member Functions

template<class T_X , class T_N >
static void computeShapeFunction (const T_X &x, T_N &N)

template<class T_X , class T_N >
static void computeGradShapeFunction (const T_X &x, T_N &dN)

## Static Public Attributes

static const unsigned DIM = MeshElement::dimension

static const unsigned NPOINTS = MeshElement::n_all_nodes

static constexpr int ORDER = 1

## ◆ MeshElement

Definition at line 42 of file ShapePyra5.h.

## Member Function Documentation

template<class T_X , class T_N >
 void NumLib::ShapePyra5::computeGradShapeFunction ( const T_X & x, T_N & dN )
static

Evaluate derivatives of the shape function at the given point

Parameters
 [in] x natural coordinates (r,s,t) [out] dN a matrix of the derivatives

Definition at line 28 of file ShapePyra5-impl.h.

29{
30 const double r = x[0];
31 const double s = x[1];
32 const double t = x[2];
33 // dN/dL1
34 dN[0] = -0.125 * (1.0 - s) * (1.0 - t);
35 dN[1] = -dN[0];
36 dN[2] = 0.125 * (1.0 + s) * (1.0 - t);
37 dN[3] = -dN[2];
38 dN[4] = 0.0;
39 // dN/dL2
40 dN[5] = -0.125 * (1.0 - r) * (1.0 - t);
41 dN[6] = -0.125 * (1.0 + r) * (1.0 - t);
42 dN[7] = -dN[6];
43 dN[8] = -dN[5];
44 dN[9] = 0.0;
45 // dN/dt
46 dN[10] = -0.125 * (1.0 - r) * (1.0 - s);
47 dN[11] = -0.125 * (1.0 + r) * (1.0 - s);
48 dN[12] = -0.125 * (1.0 + r) * (1.0 + s);
49 dN[13] = -0.125 * (1.0 - r) * (1.0 + s);
50 dN[14] = 0.5;
51}

## ◆ computeShapeFunction()

template<class T_X , class T_N >
 void NumLib::ShapePyra5::computeShapeFunction ( const T_X & x, T_N & N )
static

Evaluate the shape function at the given point

Parameters
 [in] x natural coordinates (r,s,t) [out] N a vector of calculated shape functions

Definition at line 14 of file ShapePyra5-impl.h.

15{
16 const double r = x[0];
17 const double s = x[1];
18 const double t = x[2];
19
20 N[0] = 0.125 * (1 - r) * (1 - s) * (1 - t);
21 N[1] = 0.125 * (1 + r) * (1 - s) * (1 - t);
22 N[2] = 0.125 * (1 + r) * (1 + s) * (1 - t);
23 N[3] = 0.125 * (1 - r) * (1 + s) * (1 - t);
24 N[4] = 0.5 * (1 + t);
25}

References NumLib::N.

## ◆ DIM

 const unsigned NumLib::ShapePyra5::DIM = MeshElement::dimension
static

Definition at line 43 of file ShapePyra5.h.

## ◆ NPOINTS

 const unsigned NumLib::ShapePyra5::NPOINTS = MeshElement::n_all_nodes
static

Definition at line 44 of file ShapePyra5.h.

## ◆ ORDER

 constexpr int NumLib::ShapePyra5::ORDER = 1
staticconstexpr

Definition at line 45 of file ShapePyra5.h.

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