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// $Id: mapping_q_eulerian.h 30450 2013-08-23 15:48:29Z kronbichler $
//
// Copyright (C) 2001 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__mapping_q_eulerian_h
#define __deal2__mapping_q_eulerian_h
#include <deal.II/base/smartpointer.h>
#include <deal.II/base/thread_management.h>
#include <deal.II/grid/tria_iterator.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/dofs/dof_accessor.h>
#include <deal.II/fe/fe.h>
#include <deal.II/fe/fe_values.h>
#include <deal.II/fe/mapping_q.h>
DEAL_II_NAMESPACE_OPEN
/*!@addtogroup mapping */
/*@{*/
/**
* This class is an extension of the MappingQ1Eulerian
* class to higher order Qp mappings. It is useful
* when one wants to calculate shape function information on
* a domain that is deforming as the computation proceeds.
*
* <h3>Usage</h3>
*
* The constructor of this class takes three arguments: the polynomial
* degree of the desire Qp mapping, a reference to
* the vector that defines the mapping from the initial
* configuration to the current configuration, and a reference to the
* DoFHandler. The most common case is to use the solution
* vector for the problem under consideration as the shift vector.
* The key reqirement is that the number of components
* of the given vector field be equal to (or possibly greater than) the
* number of space dimensions. If there are more components than space
* dimensions (for example, if one is working with a coupled problem
* where there are additional solution variables), the
* first <tt>dim</tt> components are assumed to represent the displacement
* field, and the remaining components are ignored. If this assumption
* does not hold one may need to set up a separate DoFHandler on
* the triangulation and associate the desired shift vector to it.
*
* Typically, the DoFHandler operates on a finite element that
* is constructed as a system element (FESystem) from continuous FE_Q()
* objects. An example is shown below:
* @code
* FESystem<dim> fe(FE_Q<dim>(2), dim, FE_Q<dim>(1), 1);
* DoFHandler<dim> dof_handler(triangulation);
* dof_handler.distribute_dofs(fe);
* Vector<double> soln_vector(dof_handler.n_dofs());
* MappingQEulerian<dim> q2_mapping(2,soln_vector,dof_handler);
* @endcode
*
* In this example, our element consists of <tt>(dim+1)</tt> components.
* Only the first <tt>dim</tt> components will be used, however, to define
* the Q2 mapping. The remaining components are ignored.
*
* Note that it is essential to call the distribute_dofs(...) function
* before constructing a mapping object.
*
* Also note that since the vector of shift values and the dof handler are
* only associated to this object at construction time, you have to
* make sure that whenever you use this object, the given objects
* still represent valid data.
*
* To enable the use of the MappingQ1Eulerian class also in the context
* of parallel codes using the PETSc wrapper classes, the type of
* the vector can be specified as template parameter <tt>EulerVectorType</tt>
* Not specifying this template argument in applications using the PETSc
* vector classes leads to the construction of a copy of the vector
* which is not acccessible afterwards!
*
* @author Joshua White, 2008
*/
template <int dim, class VECTOR = Vector<double>, int spacedim=dim >
class MappingQEulerian : public MappingQ<dim, spacedim>
{
public:
/**
* Constructor. The first argument is the polynomical degree of the desired
* Qp mapping. It then takes a <tt>Vector<double> &</tt> to specify the
* transformation of the domain from the reference to the current
* configuration. The organization of the elements in the @p Vector must
* follow the concept how deal.II stores solutions that are associated to a
* triangulation. This is automatically the case if the @p Vector
* represents the solution of the previous step of a nonlinear problem.
* Alternatively, the @p Vector can be initialized by
* <tt>DoFAccessor::set_dof_values()</tt>.
*/
MappingQEulerian (const unsigned int degree,
const VECTOR &euler_vector,
const DoFHandler<dim,spacedim> &euler_dof_handler);
/**
* Return a pointer to a copy of the present object. The caller of this copy
* then assumes ownership of it.
*/
virtual
Mapping<dim,spacedim> *clone () const;
/**
* Always returns @p false because MappingQ1Eulerian does not in general
* preserve vertex locations (unless the translation vector happens to
* provide for zero displacements at vertex locations).
*/
bool preserves_vertex_locations () const;
/**
* Exception
*/
DeclException0 (ExcInactiveCell);
protected:
/**
* Implementation of the interface in MappingQ. Overrides the function in
* the base class, since we cannot use any cell similarity for this class.
*/
virtual void
fill_fe_values (const typename Triangulation<dim,spacedim>::cell_iterator &cell,
const Quadrature<dim> &quadrature,
typename Mapping<dim,spacedim>::InternalDataBase &mapping_data,
typename std::vector<Point<spacedim> > &quadrature_points,
std::vector<double> &JxW_values,
std::vector<DerivativeForm<1,dim,spacedim> > &jacobians,
std::vector<DerivativeForm<2,dim,spacedim> > &jacobian_grads,
std::vector<DerivativeForm<1,spacedim,dim> > &inverse_jacobians,
std::vector<Point<spacedim> > &cell_normal_vectors,
CellSimilarity::Similarity &cell_similarity) const;
/**
* Reference to the vector of shifts.
*/
SmartPointer<const VECTOR, MappingQEulerian<dim,VECTOR,spacedim> > euler_vector;
/**
* Pointer to the DoFHandler to which the mapping vector is associated.
*/
SmartPointer<const DoFHandler<dim,spacedim>,MappingQEulerian<dim,VECTOR,spacedim> > euler_dof_handler;
private:
/**
* Special quadrature rule used to define the support points in the
* reference configuration.
*/
class SupportQuadrature : public Quadrature<dim>
{
public:
/**
* Constructor, with an argument defining the desired polynomial degree.
*/
SupportQuadrature (const unsigned int map_degree);
};
/**
* A member variable holding the quadrature points in the right order.
*/
const SupportQuadrature support_quadrature;
/**
* FEValues object used to query the the given finite element field at the
* support points in the reference configuration.
*
* The variable is marked as mutable since we have to call FEValues::reinit
* from compute_mapping_support_points, a function that is 'const'.
*/
mutable FEValues<dim,spacedim> fe_values;
/**
* A variable to guard access to the fe_values variable.
*/
mutable Threads::Mutex fe_values_mutex;
/**
* Compute the positions of the support points in the current configuration
*/
virtual void compute_mapping_support_points(
const typename Triangulation<dim,spacedim>::cell_iterator &cell,
std::vector<Point<spacedim> > &a) const;
};
/*@}*/
/*----------------------------------------------------------------------*/
#ifndef DOXYGEN
template <int dim, class VECTOR, int spacedim>
inline
bool
MappingQEulerian<dim,VECTOR,spacedim>::preserves_vertex_locations () const
{
return false;
}
#endif // DOXYGEN
DEAL_II_NAMESPACE_CLOSE
#endif // __deal2__mapping_q_eulerian_h
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