circular_shell_mesh.template.h

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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// Copyright (C) 2006-2022 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//
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// LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
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// LIC//====================================================================
#ifndef OOMPH_CIRCULAR_SHELL_MESH_HEADER
#define OOMPH_CIRCULAR_SHELL_MESH_HEADER
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
// OOMPH-LIB headers
#include "../generic/mesh.h"
#include "../generic/matrices.h"
#include "../generic/quadtree.h"
#include "../generic/quad_mesh.h"
#include "rectangular_quadmesh.template.h"
 
 
namespace oomph
{
  //========================================================================
  //=======================================================================
  template<class ELEMENT>
  class CircularCylindricalShellMesh
    : public virtual RectangularQuadMesh<ELEMENT>,
      public virtual SolidMesh
  {
  public:
    typedef double (*AxialBLStretchingFctPt)(const double& x);
 
    CircularCylindricalShellMesh(
      const unsigned& nx,
      const unsigned& ny,
      const double& lx,
      const double& ly,
      TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper)
      : RectangularQuadMesh<ELEMENT>(nx, ny, lx, ly, time_stepper_pt)
    {
      // Use default stretching fct
      Axial_bl_stretching_fct_pt = 0;
 
      // Assign dummy data consistent with uniform spacing
      Nx_bl = 1;
      Delta_bl = lx / double(nx);
 
      // Build mesh
      this->build_mesh(nx, ny, lx, ly);
    }
 
 
    CircularCylindricalShellMesh(
      const unsigned& nx,
      const unsigned& ny,
      const double& lx,
      const double& ly,
      AxialBLStretchingFctPt axial_bl_stretching_fct_pt,
      TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper)
      : RectangularQuadMesh<ELEMENT>(nx, ny, lx, ly, time_stepper_pt)
    {
      // Apply stretching fct
      Axial_bl_stretching_fct_pt = axial_bl_stretching_fct_pt;
 
      // Assign dummy data consistent with uniform spacing
      Nx_bl = 1;
      Delta_bl = lx / double(nx);
 
      // Build mesh
      this->build_mesh(nx, ny, lx, ly);
    }
 
    CircularCylindricalShellMesh(
      const unsigned& nx,
      const unsigned& ny,
      const double& lx,
      const double& ly,
      const unsigned& nx_bl,
      const double& delta_bl,
      TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper)
      : RectangularQuadMesh<ELEMENT>(nx, ny, lx, ly, time_stepper_pt)
    {
      // Use default stretching fct
      Axial_bl_stretching_fct_pt = 0;
 
      // Store bl data
      Nx_bl = nx_bl;
      Delta_bl = delta_bl;
 
      // Build mesh
      this->build_mesh(nx, ny, lx, ly);
    }
 
 
    void assign_undeformed_positions(GeomObject* const& undeformed_midplane_pt);
 
 
    AxialBLStretchingFctPt axial_bl_stretching_fct_pt() const
    {
      return Axial_bl_stretching_fct_pt;
    }
 
 
  private:
    void build_mesh(const unsigned& nx,
                    const unsigned& ny,
                    const double& lx,
                    const double& ly);
 
 
    double scaled_x(const double& x)
    {
      if (Axial_bl_stretching_fct_pt == 0)
      {
        return piecewise_linear_axial_bl_stretching_fct(x);
      }
      else
      {
        return (*Axial_bl_stretching_fct_pt)(x);
      }
    }
 
    double piecewise_linear_axial_bl_stretching_fct(const double& xi)
    {
      // Length of shell
      double lx = this->Xmax - this->Xmin;
 
      // Old axial extent of the elements spanning the boundary layer
      double old_delta_bl = double(Nx_bl) * lx / double(this->Nx);
 
      double tmp_xi = xi;
      if (xi < old_delta_bl)
      {
        tmp_xi = xi * Delta_bl / old_delta_bl;
      }
      else if (xi < (lx - old_delta_bl))
      {
        tmp_xi = Delta_bl + (xi - old_delta_bl) / (lx - 2.0 * old_delta_bl) *
                              (lx - 2.0 * Delta_bl);
      }
      else
      {
        double end_x = lx - Delta_bl;
        tmp_xi = end_x + (xi - (lx - old_delta_bl)) / old_delta_bl * Delta_bl;
      }
      return tmp_xi;
    }
 
 
    AxialBLStretchingFctPt Axial_bl_stretching_fct_pt;
 
    unsigned Nx_bl;
 
    double Delta_bl;
  };
 
} // namespace oomph
 
 
#endif