V_GaussIntegration.hpp

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/*=========================================================================

  Module:    $RCSfile: V_GaussIntegration.hpp,v $

  Copyright (c) 2006 Sandia Corporation.
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/

/*
 *
 * GaussIntegration.hpp declaration of gauss integration functions
 *
 * This file is part of VERDICT
 *
 */

#ifndef GAUSS_INTEGRATION_HPP
#define GAUSS_INTEGRATION_HPP

#include "moab/verdict.h"

#define maxTotalNumberGaussPoints 27
#define maxNumberNodes            20
#define maxNumberGaussPoints      3
#define maxNumberGaussPointsTri   6
#define maxNumberGaussPointsTet   4

namespace GaussIntegration
{

void get_signs_for_node_local_coord_hex( int node_id, double& sign_y1, double& sign_y2, double& sign_y3 );
//- to get the signs for  coordinates of hex nodes in the local computational space

// constructors
void initialize( int n = 2, int m = 4, int dim = 2, int tri = 0 );

// manipulators
void get_gauss_pts_and_weight();
//- get gauss point locations and weights

void get_tri_rule_pts_and_weight();
//- get integration points and weights for triangular rules

void calculate_shape_function_2d_tri();
//- calculate the shape functions and derivatives of shape functions
//- at integration points for 2D triangular elements

void calculate_shape_function_2d_quad();
//- calculate the shape functions and derivatives of shape functions
//- at gaussian points for 2D quad elements

void get_shape_func( double shape_function[],
                     double dndy1_at_gauss_pts[],
                     double dndy2_at_gauss_ptsp[],
                     double gauss_weight[] );
//- get shape functions and the derivatives

void get_shape_func( double shape_function[],
                     double dndy1_at_gauss_pts[],
                     double dndy2_at_gauss_pts[],
                     double dndy3_at_gauss_pts[],
                     double gauss_weight[] );
//- get shape functions and the derivatives for 3D elements

void calculate_derivative_at_nodes( double dndy1_at_nodes[][maxNumberNodes], double dndy2_at_nodes[][maxNumberNodes] );
//- calculate shape function derivatives at nodes

void calculate_shape_function_3d_hex();
//- calculate shape functions and derivatives of shape functions
//- at gaussian points for 3D hex elements

void calculate_derivative_at_nodes_3d( double dndy1_at_nodes[][maxNumberNodes],
                                       double dndy2_at_nodes[][maxNumberNodes],
                                       double dndy3_at_nodes[][maxNumberNodes] );
//- calculate shape function derivatives at nodes for hex elements

void calculate_derivative_at_nodes_2d_tri( double dndy1_at_nodes[][maxNumberNodes],
                                           double dndy2_at_nodes[][maxNumberNodes] );
//- calculate shape function derivatives at nodes for triangular elements

void calculate_shape_function_3d_tet();
//- calculate shape functions and derivatives of shape functions
//- at integration points for 3D tet elements

void get_tet_rule_pts_and_weight();
//- get integration points and weights for tetrhedron rules

void calculate_derivative_at_nodes_3d_tet( double dndy1_at_nodes[][maxNumberNodes],
                                           double dndy2_at_nodes[][maxNumberNodes],
                                           double dndy3_at_nodes[][maxNumberNodes] );
//- calculate shape function derivatives at nodes for tetrahedron elements

void get_node_local_coord_tet( int node_id, double& y1, double& y2, double& y3, double& y4 );
//- get nodal volume coordinates for tetrahedron element
}  // namespace GaussIntegration

#endif