annular_mesh.template.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,
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//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//====================================================================
#ifndef OOMPH_ANNULAR_MESH_TEMPLATE_CC
#define OOMPH_ANNULAR_MESH_TEMPLATE_CC

#include "annular_mesh.template.h"

namespace oomph
{




//===================================================================
 /// Helper function to Wrap mesh into annular shape
//==================================================================
 template<class ELEMENT>
 void TwoDAnnularMesh<ELEMENT>::wrap_into_annular_shape(
  const double& a, 
  const double& h,
  const double& azimuthal_fraction,
  const double& phi)
 {
  //Create the hole
  Ellipse ellipse(a,a);
   
  //Set all the initial positions of the nodes
  Vector<double> xi(1);
  Vector<double> base(2);
  Vector<double> N(2);
  const unsigned n_node = this->nnode();
  for(unsigned n=0;n<n_node;n++)
   {
    // Pointer to node
    Node* nod_pt = this->node_pt(n);

    // Get the angle of the node -- rotate such that jump in angle
    // appears at periodic boundary. Shrink domain slightly
    // to keep angle unique
    xi[0] = (1.0-1.0e-10)*(-azimuthal_fraction*nod_pt->x(0))*
     2.0*MathematicalConstants::Pi+
     MathematicalConstants::Pi-
     (1.0-azimuthal_fraction)*2.0*MathematicalConstants::Pi;
   
    // Rotate
    xi[0]+=phi;

    //Get the node's fraction in the radial direction
    double w = nod_pt->x(1);
     
    //Get the position on the ellipse base
    ellipse.position(xi,base);
     
    //Get the unit normal, if it were a circle , by normalising the base
    double norm = sqrt(base[0]*base[0] + base[1]*base[1]);
    N[0] = base[0]/norm; 
    N[1] = base[1]/norm;
     
    //Set circular film from the ellipse
    nod_pt->x(0) = base[0] + w*(h+a-norm)*N[0];
    nod_pt->x(1) = base[1] + w*(h+a-norm)*N[1];

    // Set boundary coordinates
    Vector<double> xi_bound(1);

    // Polar angle for boundary coordinate on boundary 0
    if(nod_pt->is_on_boundary(0))
     {       
      xi_bound[0]=atan2(nod_pt->x(1),nod_pt->x(0));
      nod_pt->set_coordinates_on_boundary(0,xi_bound);
     }

    // Radius for boundary coordinate on boundary 1
    if(nod_pt->is_on_boundary(1))
     {      
      xi_bound[0]=sqrt(pow(nod_pt->x(0),2)+pow(nod_pt->x(1),2));
      nod_pt->set_coordinates_on_boundary(1,xi_bound);
     }

    // Polar angle for boundary coordinate on boundary 2
    if(nod_pt->is_on_boundary(2))
     {
      xi_bound[0]=atan2(nod_pt->x(1),nod_pt->x(0));
      nod_pt->set_coordinates_on_boundary(2,xi_bound);
     }

    // Radius for boundary coordinate on boundary 3
    if(nod_pt->is_on_boundary(3))
     {      
      xi_bound[0]=sqrt(pow(nod_pt->x(0),2)+pow(nod_pt->x(1),2));
      nod_pt->set_coordinates_on_boundary(3,xi_bound);
     }
   }

  this->Boundary_coordinate_exists[0]=true;
  this->Boundary_coordinate_exists[1]=true;
  this->Boundary_coordinate_exists[2]=true;
  this->Boundary_coordinate_exists[3]=true;
 }
 

}



#endif