spectral_poisson_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//
// 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
// LIC// License along with this library; if not, write to the Free Software
// LIC// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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// LIC//
// LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
// LIC//
// LIC//====================================================================
// Header file for Spectral Poisson elements
#ifndef OOMPH_SPECTRAL_POISSON_ELEMENTS_HEADER
#define OOMPH_SPECTRAL_POISSON_ELEMENTS_HEADER
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
// OOMPH-LIB headers
#include "poisson_elements.h"
#include "../generic/Qspectral_elements.h"
 
namespace oomph
{
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class QSpectralPoissonElement
    : public virtual QSpectralElement<DIM, NNODE_1D>,
      public virtual PoissonEquations<DIM>
  {
  private:
    static const unsigned Initial_Nvalue;
 
  public:
    QSpectralPoissonElement()
      : QSpectralElement<DIM, NNODE_1D>(), PoissonEquations<DIM>()
    {
    }
 
    QSpectralPoissonElement(
      const QSpectralPoissonElement<DIM, NNODE_1D>& dummy) = delete;
 
    // Commented out broken assignment operator because this can lead to a
    // conflict warning when used in the virtual inheritence hierarchy.
    // Essentially the compiler doesn't realise that two separate
    // implementations of the broken function are the same and so, quite
    // rightly, it shouts.
    /*void operator=(const QSpectralPoissonElement<DIM,NNODE_1D>&) =
      delete;*/
 
    inline unsigned required_nvalue(const unsigned& n) const
    {
      return Initial_Nvalue;
    }
 
    void output(std::ostream& outfile)
    {
      PoissonEquations<DIM>::output(outfile);
    }
 
    void output(std::ostream& outfile, const unsigned& n_plot)
    {
      PoissonEquations<DIM>::output(outfile, n_plot);
    }
 
 
    void output(FILE* file_pt)
    {
      PoissonEquations<DIM>::output(file_pt);
    }
 
 
    void output(FILE* file_pt, const unsigned& n_plot)
    {
      PoissonEquations<DIM>::output(file_pt, n_plot);
    }
 
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
    {
      PoissonEquations<DIM>::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)
    {
      PoissonEquations<DIM>::output_fct(outfile, n_plot, time, exact_soln_pt);
    }
 
 
  protected:
    inline double dshape_and_dtest_eulerian_poisson(const Vector<double>& s,
                                                    Shape& psi,
                                                    DShape& dpsidx,
                                                    Shape& test,
                                                    DShape& dtestdx) const;
 
 
    inline double dshape_and_dtest_eulerian_at_knot_poisson(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidx,
      Shape& test,
      DShape& dtestdx) const;
 
    inline double dshape_and_dtest_eulerian_at_knot_poisson(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidx,
      RankFourTensor<double>& d_dpsidx_dX,
      Shape& test,
      DShape& dtestdx,
      RankFourTensor<double>& d_dtestdx_dX,
      DenseMatrix<double>& djacobian_dX) const;
  };
 
 
  // Inline functions:
 
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  double QSpectralPoissonElement<DIM, NNODE_1D>::
    dshape_and_dtest_eulerian_poisson(const Vector<double>& s,
                                      Shape& psi,
                                      DShape& dpsidx,
                                      Shape& test,
                                      DShape& dtestdx) const
  {
    // Call the geometrical shape functions and derivatives
    double J = this->dshape_eulerian(s, psi, dpsidx);
 
    // Loop over the test functions and derivatives and set them equal to the
    // shape functions
    unsigned nnod = this->nnode();
    for (unsigned i = 0; i < nnod; i++)
    {
      test[i] = psi[i];
      for (unsigned j = 0; j < DIM; j++)
      {
        dtestdx(i, j) = dpsidx(i, j);
      }
    }
 
    // Return the jacobian
    return J;
  }
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  double QSpectralPoissonElement<DIM, NNODE_1D>::
    dshape_and_dtest_eulerian_at_knot_poisson(const unsigned& ipt,
                                              Shape& psi,
                                              DShape& dpsidx,
                                              Shape& test,
                                              DShape& dtestdx) const
  {
    // Call the geometrical shape functions and derivatives
    double J = this->dshape_eulerian_at_knot(ipt, psi, dpsidx);
 
    // Set the pointers of the test functions
    test = psi;
    dtestdx = dpsidx;
 
    // Return the jacobian
    return J;
  }
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  double QSpectralPoissonElement<DIM, NNODE_1D>::
    dshape_and_dtest_eulerian_at_knot_poisson(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidx,
      RankFourTensor<double>& d_dpsidx_dX,
      Shape& test,
      DShape& dtestdx,
      RankFourTensor<double>& d_dtestdx_dX,
      DenseMatrix<double>& djacobian_dX) const
  {
    // Call the geometrical shape functions and derivatives
    const double J = this->dshape_eulerian_at_knot(
      ipt, psi, dpsidx, djacobian_dX, d_dpsidx_dX);
 
    // Set the pointers of the test functions
    test = psi;
    dtestdx = dpsidx;
    d_dtestdx_dX = d_dpsidx_dX;
 
    // Return the jacobian
    return J;
  }
 
 
 
  //=======================================================================
  //=======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class FaceGeometry<QSpectralPoissonElement<DIM, NNODE_1D>>
    : public virtual QSpectralElement<DIM - 1, NNODE_1D>
  {
  public:
    FaceGeometry() : QSpectralElement<DIM - 1, NNODE_1D>() {}
  };
 
 
  //=======================================================================
  //=======================================================================
  template<unsigned NNODE_1D>
  class FaceGeometry<QSpectralPoissonElement<1, NNODE_1D>>
    : public virtual PointElement
  {
  public:
    FaceGeometry() : PointElement() {}
  };
 
} // namespace oomph
 
#endif