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// $Id: mapping_q_eulerian.h 21072 2010-05-05 13:05:07Z bangerth $
// Version: $Name$
//
// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 by the deal.II authors
//
// This file is subject to QPL and may not be distributed
// without copyright and license information. Please refer
// to the file deal.II/doc/license.html for the text and
// further information on this license.
//
//---------------------------------------------------------------------------
#ifndef __deal2__mapping_q_eulerian_h
#define __deal2__mapping_q_eulerian_h
#include <base/smartpointer.h>
#include <base/thread_management.h>
#include <grid/tria_iterator.h>
#include <dofs/dof_handler.h>
#include <dofs/dof_accessor.h>
#include <fe/fe.h>
#include <fe/fe_values.h>
#include <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:
* @verbatim
* 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);
* @endverbatim
*
* 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> &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 (ExcWrongNoOfComponents);
/**
* Exception
*/
DeclException0 (ExcInactiveCell);
/**
* Exception
*/
DeclException2 (ExcWrongVectorSize, int, int,
<< "Vector has wrong size " << arg1
<< "-- expected size " << arg2);
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<Tensor<2,spacedim> > &jacobians,
std::vector<Tensor<3,spacedim> > &jacobian_grads,
std::vector<Tensor<2,spacedim> > &inverse_jacobians,
std::vector<Point<spacedim> > &cell_normal_vectors,
CellSimilarity::Similarity &cell_similarity) const;
/**
* Reference to the vector of
* shifts.
*/
const VECTOR &euler_vector;
/**
* Pointer to the DoFHandler to
* which the mapping vector is
* associated.
*/
const SmartPointer<const DoFHandler<dim>,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> fe_values;
/**
* A variable to guard access to
* the fe_values variable.
*/
mutable Threads::ThreadMutex fe_values_mutex;
/**
* Compute the positions of the
* support points in the current
* configuration
*/
virtual void compute_mapping_support_points(
const typename Triangulation<dim>::cell_iterator &cell,
std::vector<Point<dim> > &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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