one_d_lagrangian_mesh.h

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// LIC// ====================================================================
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// LIC// multi-physics finite-element library, available
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// LIC// Copyright (C) 2006-2025 Matthias Heil and Andrew Hazel
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#ifndef OOMPH_ONE_D_LAGRANGIAN_MESH_HEADER
#define OOMPH_ONE_D_LAGRANGIAN_MESH_HEADER
 
// OOMPH-LIB headers
#include "generic/mesh.h"
#include "generic/geom_objects.h"
#include "generic/fsi.h"
 
// Include the header for the one dimensional mesh
#include "one_d_mesh.h"
 
namespace oomph
{
  //=======================================================================
  /// 1D mesh parametrised in terms of a 1D Lagrangian coordinate.
  /// The Eulerian positions of the nodes are determined by the GeomObject.
  //=======================================================================
  template<class ELEMENT>
  class OneDLagrangianMesh : public OneDMesh<ELEMENT>, public SolidMesh
  {
  private:
    /// Undeformed Eulerian shape
    GeomObject* Undef_eulerian_posn_pt;
 
    /// Set the default gradients of the elements
    void assign_default_element_gradients();
 
    /// Assign the undeformed Eulerian positions to the nodes
    void assign_undeformed_positions();
 
  public:
    /// Constructor: Pass number of elements, length,
    /// pointer to GeomObject that defines the undeformed Eulerian position,
    /// and the timestepper -- defaults to (Steady) default timestepper defined
    /// in the Mesh base class
    OneDLagrangianMesh(
      const unsigned& n_element,
      const double& length,
      GeomObject* undef_eulerian_posn_pt,
      TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper);
 
    /// Constructor: Pass number of elements, xmin, xmax
    /// pointer to GeomObject that defines the undeformed Eulerian position,
    /// and the timestepper -- defaults to (Steady) default timestepper defined
    /// in the Mesh base class
    OneDLagrangianMesh(
      const unsigned& n_element,
      const double& xmin,
      const double& xmax,
      GeomObject* undef_eulerian_posn_pt,
      TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper);
  };
 
} // namespace oomph
 
#include "one_d_lagrangian_mesh.template.cc"
#endif