axisym_displ_based_fvk_elements.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//
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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//
// LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
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// LIC//====================================================================
// Header file for axisymmetric FoepplvonKarman elements
#ifndef OOMPH_AXISYM_DISPL_BASED_FOEPPLVONKARMAN_ELEMENTS_HEADER
#define OOMPH_AXISYM_DISPL_BASED_FOEPPLVONKARMAN_ELEMENTS_HEADER
 
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
// OOMPH-LIB headers
#include "../generic/nodes.h"
#include "../generic/Qelements.h"
#include "../generic/oomph_utilities.h"
 
namespace oomph
{
  //=============================================================
  //=============================================================
  class AxisymFoepplvonKarmanEquations : public virtual FiniteElement
  {
  public:
    typedef void (*AxisymFoepplvonKarmanPressureFctPt)(const double& r,
                                                       double& f);
 
    AxisymFoepplvonKarmanEquations() : Pressure_fct_pt(0), Nu_pt(0) {}
 
    AxisymFoepplvonKarmanEquations(
      const AxisymFoepplvonKarmanEquations& dummy) = delete;
 
    void operator=(const AxisymFoepplvonKarmanEquations&) = delete;
 
    const double& nu() const
    {
#ifdef PARANOID
      if (Nu_pt == 0)
      {
        std::stringstream error_stream;
        error_stream << "Nu has not yet been set!" << std::endl;
        throw OomphLibError(
          error_stream.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
      }
#endif
      return *Nu_pt;
    }
 
    double*& nu_pt()
    {
      return Nu_pt;
    }
 
    const double& eta() const
    {
      return *Eta_pt;
    }
 
    double*& eta_pt()
    {
      return Eta_pt;
    }
 
    virtual inline unsigned nodal_index_fvk(const unsigned& i = 0) const
    {
      return i;
    }
 
    void output(std::ostream& outfile)
    {
      const unsigned n_plot = 5;
      output(outfile, n_plot);
    }
 
    void output(std::ostream& outfile, const unsigned& n_plot);
 
    void output(FILE* file_pt)
    {
      const unsigned n_plot = 5;
      output(file_pt, n_plot);
    }
 
    void output(FILE* file_pt, const unsigned& n_plot);
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    FiniteElement::SteadyExactSolutionFctPt exact_soln_pt);
 
    virtual void output_fct(
      std::ostream& outfile,
      const unsigned& n_plot,
      const double& time,
      FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
    {
      throw OomphLibError(
        "There is no time-dependent output_fct() for Foeppl von Karman"
        "elements ",
        OOMPH_CURRENT_FUNCTION,
        OOMPH_EXCEPTION_LOCATION);
    }
 
    void compute_error(std::ostream& outfile,
                       FiniteElement::SteadyExactSolutionFctPt exact_soln_pt,
                       double& error,
                       double& norm);
 
 
    void compute_error(std::ostream& outfile,
                       FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt,
                       const double& time,
                       double& error,
                       double& norm)
    {
      throw OomphLibError(
        "There is no time-dependent compute_error() for Foeppl von Karman"
        "elements",
        OOMPH_CURRENT_FUNCTION,
        OOMPH_EXCEPTION_LOCATION);
    }
 
    AxisymFoepplvonKarmanPressureFctPt& pressure_fct_pt()
    {
      return Pressure_fct_pt;
    }
 
    AxisymFoepplvonKarmanPressureFctPt pressure_fct_pt() const
    {
      return Pressure_fct_pt;
    }
 
    inline virtual void get_pressure_fvk(const unsigned& ipt,
                                         const double& r,
                                         double& pressure) const
    {
      // If no pressure function has been set, return zero
      if (Pressure_fct_pt == 0)
      {
        pressure = 0.0;
      }
      else
      {
        // Get pressure strength
        (*Pressure_fct_pt)(r, pressure);
      }
    }
 
    void get_gradient_of_deflection(const Vector<double>& s,
                                    Vector<double>& gradient) const
    {
      // Find out how many nodes there are in the element
      const unsigned n_node = nnode();
 
      // Get the index at which the unknown is stored
      const unsigned w_nodal_index = nodal_index_fvk(0);
 
      // Set up memory for the shape and test functions
      Shape psi(n_node);
      DShape dpsidr(n_node, 1);
 
      // Call the derivatives of the shape and test functions
      dshape_eulerian(s, psi, dpsidr);
 
      // Initialise to zero
      gradient[0] = 0.0;
 
      // Loop over nodes
      for (unsigned l = 0; l < n_node; l++)
      {
        gradient[0] += this->nodal_value(l, w_nodal_index) * dpsidr(l, 0);
      }
    }
 
    void fill_in_contribution_to_residuals(Vector<double>& residuals);
 
 
    // hierher Jacobian not yet implemented
    // void fill_in_contribution_to_jacobian(Vector<double> &residuals,
    //                                      DenseMatrix<double> &jacobian);
 
 
    inline double interpolated_w_fvk(const Vector<double>& s) const
    {
      // Find number of nodes
      const unsigned n_node = nnode();
 
      // Get the index at which the transverse displacement unknown is stored
      const unsigned w_nodal_index = nodal_index_fvk(0);
 
      // Local shape function
      Shape psi(n_node);
 
      // Find values of shape function
      shape(s, psi);
 
      // Initialise value of u
      double interpolated_w = 0.0;
 
      // Loop over the local nodes and sum
      for (unsigned l = 0; l < n_node; l++)
      {
        interpolated_w += this->nodal_value(l, w_nodal_index) * psi[l];
      }
 
      return (interpolated_w);
    }
 
 
    inline double interpolated_u_fvk(const Vector<double>& s) const
    {
      // Find number of nodes
      const unsigned n_node = nnode();
 
      // Get the index at which the radial displacement unknown is stored
      const unsigned u_nodal_index = nodal_index_fvk(2);
 
      // Local shape function
      Shape psi(n_node);
 
      // Find values of shape function
      shape(s, psi);
 
      // Initialise value of u
      double interpolated_u = 0.0;
 
      // Loop over the local nodes and sum
      for (unsigned l = 0; l < n_node; l++)
      {
        interpolated_u += this->nodal_value(l, u_nodal_index) * psi[l];
      }
 
      return (interpolated_u);
    }
 
 
    bool interpolated_stress(const Vector<double>& s,
                             double& sigma_r_r,
                             double& sigma_phi_phi) const;
 
 
    unsigned self_test();
 
 
    // switch back on and test!
 
 
    void use_linear_bending_model()
    {
      // Set the boolean flag
      Linear_bending_model = true;
 
      // Get the index of the first FvK nodal value
      unsigned first_fvk_nodal_index = nodal_index_fvk();
 
      // Get the total number of FvK nodal values (assuming they are stored
      // contiguously) at node 0 (it's the same at all nodes anyway)
      unsigned total_fvk_nodal_indices = 3;
 
      // Get the number of nodes in this element
      unsigned n_node = nnode();
 
      // Loop over the appropriate nodal indices
      for (unsigned index = first_fvk_nodal_index + 2;
           index < first_fvk_nodal_index + total_fvk_nodal_indices;
           index++)
      {
        // Loop over the nodes in the element
        for (unsigned inod = 0; inod < n_node; inod++)
        {
          // Pin the nodal value at the current index
          node_pt(inod)->pin(index);
        }
      }
    }
 
 
  protected:
    virtual double dshape_and_dtest_eulerian_axisym_fvk(
      const Vector<double>& s,
      Shape& psi,
      DShape& dpsidr,
      Shape& test,
      DShape& dtestdr) const = 0;
 
 
    virtual double dshape_and_dtest_eulerian_at_knot_axisym_fvk(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidr,
      Shape& test,
      DShape& dtestdr) const = 0;
 
    double* Eta_pt;
 
    AxisymFoepplvonKarmanPressureFctPt Pressure_fct_pt;
 
    double* Nu_pt;
 
    bool Linear_bending_model;
 
  private:
    static double Default_Physical_Constant_Value;
  };
 
 
 
 
  //======================================================================
  //======================================================================
  template<unsigned NNODE_1D>
  class AxisymFoepplvonKarmanElement
    : public virtual QElement<1, NNODE_1D>,
      public virtual AxisymFoepplvonKarmanEquations
  {
  private:
    static const unsigned Initial_Nvalue;
 
  public:
    AxisymFoepplvonKarmanElement()
      : QElement<1, NNODE_1D>(), AxisymFoepplvonKarmanEquations()
    {
    }
 
    AxisymFoepplvonKarmanElement(
      const AxisymFoepplvonKarmanElement<NNODE_1D>& dummy) = delete;
 
    void operator=(const AxisymFoepplvonKarmanElement<NNODE_1D>&) = delete;
 
    inline unsigned required_nvalue(const unsigned& n) const
    {
      return Initial_Nvalue;
    }
 
 
    void output(std::ostream& outfile)
    {
      AxisymFoepplvonKarmanEquations::output(outfile);
    }
 
    void output(std::ostream& outfile, const unsigned& n_plot)
    {
      AxisymFoepplvonKarmanEquations::output(outfile, n_plot);
    }
 
    void output(FILE* file_pt)
    {
      AxisymFoepplvonKarmanEquations::output(file_pt);
    }
 
    void output(FILE* file_pt, const unsigned& n_plot)
    {
      AxisymFoepplvonKarmanEquations::output(file_pt, n_plot);
    }
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
    {
      AxisymFoepplvonKarmanEquations::output_fct(
        outfile, n_plot, exact_soln_pt);
    }
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    const double& time,
                    FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
    {
      AxisymFoepplvonKarmanEquations::output_fct(
        outfile, n_plot, time, exact_soln_pt);
    }
 
 
  protected:
    inline double dshape_and_dtest_eulerian_axisym_fvk(const Vector<double>& s,
                                                       Shape& psi,
                                                       DShape& dpsidr,
                                                       Shape& test,
                                                       DShape& dtestdr) const;
 
    inline double dshape_and_dtest_eulerian_at_knot_axisym_fvk(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidr,
      Shape& test,
      DShape& dtestdr) const;
  };
 
 
  // Inline functions:
 
  //======================================================================
  //======================================================================
  template<unsigned NNODE_1D>
  double AxisymFoepplvonKarmanElement<
    NNODE_1D>::dshape_and_dtest_eulerian_axisym_fvk(const Vector<double>& s,
                                                    Shape& psi,
                                                    DShape& dpsidr,
                                                    Shape& test,
                                                    DShape& dtestdr) const
 
  {
    // Call the geometrical shape functions and derivatives
    const double J = this->dshape_eulerian(s, psi, dpsidr);
 
    // Set the test functions equal to the shape functions
    test = psi;
    dtestdr = dpsidr;
 
    // Return the jacobian
    return J;
  }
 
 
  //======================================================================
  //======================================================================
  template<unsigned NNODE_1D>
  double AxisymFoepplvonKarmanElement<NNODE_1D>::
    dshape_and_dtest_eulerian_at_knot_axisym_fvk(const unsigned& ipt,
                                                 Shape& psi,
                                                 DShape& dpsidr,
                                                 Shape& test,
                                                 DShape& dtestdr) const
  {
    // Call the geometrical shape functions and derivatives
    const double J = this->dshape_eulerian_at_knot(ipt, psi, dpsidr);
 
    // Set the pointers of the test functions
    test = psi;
    dtestdr = dpsidr;
 
    // Return the jacobian
    return J;
  }
 
} // namespace oomph
 
#endif