Qelement_face_coordinate_translation_schemes.cc

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//LIC// ====================================================================
//LIC// This file forms part of oomph-lib, the object-oriented, 
//LIC// multi-physics finite-element library, available 
//LIC// at http://www.oomph-lib.org.
//LIC// 
//LIC//    Version 1.0; svn revision $LastChangedRevision$
//LIC//
//LIC// $LastChangedDate$
//LIC// 
//LIC// Copyright (C) 2006-2016 Matthias Heil and Andrew Hazel
//LIC// 
//LIC// This library is free software; you can redistribute it and/or
//LIC// modify it under the terms of the GNU Lesser General Public
//LIC// License as published by the Free Software Foundation; either
//LIC// version 2.1 of the License, or (at your option) any later version.
//LIC// 
//LIC// This library is distributed in the hope that it will be useful,
//LIC// but WITHOUT ANY WARRANTY; without even the implied warranty of
//LIC// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
//LIC// Lesser General Public License for more details.
//LIC// 
//LIC// You should have received a copy of the GNU Lesser General Public
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//LIC// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
//LIC// 02110-1301  USA.
//LIC// 
//LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
//LIC// 
//LIC//====================================================================
//The guts of the face translation schemes
#include "Qelement_face_coordinate_translation_schemes.h"

namespace oomph
{
//=============================================================
///Namespace for helper functions that return the local 
///coordinates in the bulk elements
//==============================================================
namespace QElement1FaceToBulkCoordinates
{
 ///The translation scheme for the face s0 = -1.0
 void face0(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = -1.0;
 }

 ///The translation scheme for the face s0 = 1.0
 void face1(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = 1.0;
 }
}


//=============================================================
/// Namespace for helper functions that calculate derivatives
/// of the local coordinates in the bulk elements wrt the
/// local coordinates in the face element.
//=============================================================
namespace QElement1BulkCoordinateDerivatives
{
 ///Function for both faces -- the bulk coordinate is fixed on both
 void faces0(const Vector<double> &s,
            DenseMatrix<double> &dsbulk_dsface,
            unsigned &interior_direction)
 {
  //Bulk coordinate s[0] does not vary along the face
  dsbulk_dsface(0,0) = 0.0;

  //The interior direction is given by s[0]
  interior_direction=0;
 }
}




//===================================================================
/// Namespace for the functions that translate local face coordinates
/// to the coordinates in the bulk element
//==================================================================
namespace QElement2FaceToBulkCoordinates
{
 ///The translation scheme for the west face (s0 = -1.0)
 void face0(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = -1.0;
  s_bulk[1] = s[0];
 }

 ///The translation scheme for the south face (s1 = -1.0)
 void face1(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = -1.0;
 }

 ///The translation scheme for the east face (s0 = 1.0)
 void face2(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = 1.0;
  s_bulk[1] = s[0];
 }

 ///The translation scheme for the north face (s1 = 1.0)
 void face3(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = 1.0;
 }
}


//=============================================================
/// Namespace for helper functions that calculate derivatives
/// of the local coordinates in the bulk elements wrt the
/// local coordinates in the face element.
//=============================================================
namespace QElement2BulkCoordinateDerivatives
{
 ///Function for the east and west faces, along which s0 is fixed
 void faces0(const Vector<double> &s,
             DenseMatrix<double> &dsbulk_dsface,
             unsigned &interior_direction)
 {
  //Bulk coordinate s[0] does not vary along the face
  dsbulk_dsface(0,0) = 0.0;
  //Bulk coordinate s[1] is the face coordinate
  dsbulk_dsface(1,0) = 1.0;

  //The interior direction is given by s[0]
  interior_direction=0;
 }


 ///Function for the north and south faces, along which s1 is fixed
 void faces1(const Vector<double> &s,
             DenseMatrix<double> &dsbulk_dsface,
             unsigned &interior_direction)
 {
  //Bulk coordinate s[0] is the face coordinate
  dsbulk_dsface(0,0) = 1.0;
  //Bulk coordinate s[1] does not vary along the face
  dsbulk_dsface(1,0) = 0.0;

  //The interior direction is given by s[1]
  interior_direction=1;
 }
}


//===================================================================
/// Namespace for the functions that translate local face coordinates
/// to the coordinates in the bulk element
//==================================================================
namespace QElement3FaceToBulkCoordinates
{
 ///The translation scheme for the left face (s0 = -1.0)
 void face0(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = -1.0;
  s_bulk[1] = s[0];
  s_bulk[2] = s[1];
 }

 ///The translation scheme for the down face (s1 = -1.0)
 void face1(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = -1.0;
  s_bulk[2] = s[1];
 }

 ///The translation scheme for the back face (s2 = -1.0)
 void face2(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = s[1];
  s_bulk[2] = -1.0;
 }

 ///The translation scheme for the right face (s0 = 1.0)
 void face3(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = 1.0;
  s_bulk[1] = s[0];
  s_bulk[2] = s[1];
 }

 ///The translation scheme for the up face (s1 = 1.0)
 void face4(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = 1.0;
  s_bulk[2] = s[1];
 }

 ///The translation scheme for the front face (s2 = 1.0)
 void face5(const Vector<double> &s, Vector<double> &s_bulk)
 {
  s_bulk[0] = s[0];
  s_bulk[1] = s[1];
  s_bulk[2] = 1.0;
 }
}


//=============================================================
/// Namespace for helper functions that calculate derivatives
/// of the local coordinates in the bulk elements wrt the
/// local coordinates in the face element.
//=============================================================
namespace QElement3BulkCoordinateDerivatives
{
 ///Function for the back and front  faces, along which s0 is fixed
 void faces0(const Vector<double> &s,
             DenseMatrix<double> &dsbulk_dsface,
             unsigned &interior_direction)
 {
  //Bulk coordinate s[0] does not vary along the face
  dsbulk_dsface(0,0) = 0.0;
  dsbulk_dsface(0,1) = 0.0;
  //Bulk coordinate s[1] is the face coordinate 1
  dsbulk_dsface(1,0) = 1.0;
  dsbulk_dsface(1,1) = 0.0;
  //Bulk coordinate s[2] is the face coordinate 2
  dsbulk_dsface(2,0) = 0.0;
  dsbulk_dsface(2,1) = 1.0;

  //The interior direction is given by s[0]
  interior_direction=0;
 }


 ///Function for the up and down  faces, along which s1 is fixed
 void faces1(const Vector<double> &s,
             DenseMatrix<double> &dsbulk_dsface,
             unsigned &interior_direction)
 {
  //Bulk coordinate s[0] is face coordinate 0
  dsbulk_dsface(0,0) = 1.0;
  dsbulk_dsface(0,1) = 0.0;
  //Bulk coordinate s[1] is fixed on the face
  dsbulk_dsface(1,0) = 0.0;
  dsbulk_dsface(1,1) = 0.0;
  //Bulk coordinate s[2] is the face coordinate 2
  dsbulk_dsface(2,0) = 0.0;
  dsbulk_dsface(2,1) = 1.0;

  //The interior direction is given by s[1]
  interior_direction=1;
 }

 ///Function for the left and right  faces, along which s2 is fixed
 void faces2(const Vector<double> &s,
             DenseMatrix<double> &dsbulk_dsface,
             unsigned &interior_direction)
 {
  //Bulk coordinate s[0] is face coordinate 0
  dsbulk_dsface(0,0) = 1.0;
  dsbulk_dsface(0,1) = 0.0;
  //Bulk coordinate s[1] is face coordinate 1
  dsbulk_dsface(1,0) = 0.0;
  dsbulk_dsface(1,1) = 1.0;
  //Bulk coordinate s[2] is fixed on the face
  dsbulk_dsface(2,0) = 0.0;
  dsbulk_dsface(2,1) = 0.0;

  //The interior direction is given by s[2]
  interior_direction=2;
 }
}

}