dune-pdelab  2.4.1
convectiondiffusionparameter.hh
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1 // -*- tab-width: 4; indent-tabs-mode: nil -*-
2 #ifndef DUNE_PDELAB_CONVECTIONDIFFUSIONPARAMETER_HH
3 #define DUNE_PDELAB_CONVECTIONDIFFUSIONPARAMETER_HH
4 
5 #include<vector>
6 
7 #include<dune/common/exceptions.hh>
8 #include<dune/common/fvector.hh>
9 #include<dune/geometry/type.hh>
10 #include<dune/geometry/referenceelements.hh>
11 #include<dune/geometry/quadraturerules.hh>
16 
17 namespace Dune {
18  namespace PDELab {
19 
26  template<typename GV, typename RF>
27  struct ConvectionDiffusionParameterTraits
28  {
30  typedef GV GridViewType;
31 
33  enum {
35  dimDomain = GV::dimension
36  };
37 
39  typedef typename GV::Grid::ctype DomainFieldType;
40 
42  typedef Dune::FieldVector<DomainFieldType,dimDomain> DomainType;
43 
45  typedef Dune::FieldVector<DomainFieldType,dimDomain-1> IntersectionDomainType;
46 
48  typedef RF RangeFieldType;
49 
51  typedef Dune::FieldVector<RF,GV::dimensionworld> RangeType;
52 
54  typedef Dune::FieldMatrix<RangeFieldType,dimDomain,dimDomain> PermTensorType;
55 
57  typedef typename GV::Traits::template Codim<0>::Entity ElementType;
58  typedef typename GV::Intersection IntersectionType;
59  };
60 
64  {
65  enum Type { Dirichlet=1, Neumann=-1, Outflow=-2, None=-3 }; // BC requiring constraints must be >0 if
66  // constraints assembler coming with PDELab is used
67  };
68 
84  template<typename GV, typename RF>
86  {
88 
89  public:
91 
93  typename Traits::PermTensorType
94  A (const typename Traits::ElementType& e, const typename Traits::DomainType& x) const
95  {
96  typename Traits::PermTensorType I;
97  for (std::size_t i=0; i<Traits::dimDomain; i++)
98  for (std::size_t j=0; j<Traits::dimDomain; j++)
99  I[i][j] = (i==j) ? 1 : 0;
100  return I;
101  }
102 
104  typename Traits::RangeType
105  b (const typename Traits::ElementType& e, const typename Traits::DomainType& x) const
106  {
107  typename Traits::RangeType v(0.0);
108  return v;
109  }
110 
112  typename Traits::RangeFieldType
113  c (const typename Traits::ElementType& e, const typename Traits::DomainType& x) const
114  {
115  return 0.0;
116  }
117 
119  typename Traits::RangeFieldType
120  f (const typename Traits::ElementType& e, const typename Traits::DomainType& x) const
121  {
122  return 0.0;
123  }
124 
126  BCType
127  bctype (const typename Traits::IntersectionType& is, const typename Traits::IntersectionDomainType& x) const
128  {
129  typename Traits::DomainType xglobal = is.geometry().global(x);
131  }
132 
134  typename Traits::RangeFieldType
135  g (const typename Traits::ElementType& e, const typename Traits::DomainType& x) const
136  {
137  typename Traits::DomainType xglobal = e.geometry().global(x);
138  return xglobal.two_norm();
139  }
140 
142  typename Traits::RangeFieldType
143  j (const typename Traits::IntersectionType& is, const typename Traits::IntersectionDomainType& x) const
144  {
145  return 0.0;
146  }
147 
149  typename Traits::RangeFieldType
150  o (const typename Traits::IntersectionType& is, const typename Traits::IntersectionDomainType& x) const
151  {
152  return 0.0;
153  }
154  };
155 
156 
161  template<typename T>
163  :
165  public Dune::PDELab::DirichletConstraintsParameters /*@\label{bcp:base}@*/
166  {
167  const T& t;
168 
169  public:
170 
171  ConvectionDiffusionBoundaryConditionAdapter(const typename T::Traits::GridViewType& gv_,
172  const T& t_ )
173  : t( t_ )
174  {}
175 
177  : t( t_ )
178  {}
179 
180  template<typename I>
181  bool isDirichlet(const I & ig /*@\label{bcp:name}@*/
182  , const Dune::FieldVector<typename I::ctype, I::dimension-1> & coord
183  ) const
184  {
185  return( t.bctype( ig.intersection(), coord )
187  }
188 
189  template<typename I>
190  bool isNeumann(const I & ig, /*@\label{bcp:name}@*/
191  const Dune::FieldVector<typename I::ctype, I::dimension-1> & coord
192  ) const
193  {
194  return !isDirichlet( ig, coord );
195  }
196 
197  };
198 
199 
200 
201 
202 
207  template<typename T>
209  : public Dune::PDELab::AnalyticGridFunctionBase<Dune::PDELab::AnalyticGridFunctionTraits
210  <typename T::Traits::GridViewType,
211  typename T::Traits::RangeFieldType,
212  T::Traits::GridViewType::dimension>,
213  ConvectionDiffusionVelocityExtensionAdapter<T> >
214  {
215  public:
216  typedef Dune::PDELab::AnalyticGridFunctionTraits<typename T::Traits::GridViewType,
217  typename T::Traits::RangeFieldType,
218  T::Traits::GridViewType::dimension> Traits;
220 
221 
223  ConvectionDiffusionVelocityExtensionAdapter (const typename Traits::GridViewType& gv_, T& t_)
224  : BaseT(gv_), gv(gv_), t(t_)
225  {}
226 
227  inline void evaluateGlobal (const typename Traits::DomainType& x,
228  typename Traits::RangeType& y) const
229  {
230  y = t.b(x);
231  }
232 
234  inline void evaluate (const typename Traits::ElementType& e,
235  const typename Traits::DomainType& x,
236  typename Traits::RangeType& y) const
237  {
238  y = t.b(e,x);
239  }
240 
241  inline const typename Traits::GridViewType& getGridView () const
242  {
243  return gv;
244  }
245 
246  inline void setTime(double time_)
247  {
248  t.setTime(time_);
249  }
250 
251  private:
252  const typename Traits::GridViewType gv;
253  T& t;
254  };
255 
256 
257 
258 
259 
264  template<typename T>
266  : public Dune::PDELab::GridFunctionBase<Dune::PDELab::GridFunctionTraits<typename T::Traits::GridViewType,
267  typename T::Traits::RangeFieldType,
268  1,Dune::FieldVector<typename T::Traits::RangeFieldType,1> >
269  ,ConvectionDiffusionDirichletExtensionAdapter<T> >
270  {
271  public:
272  typedef Dune::PDELab::GridFunctionTraits<typename T::Traits::GridViewType,
273  typename T::Traits::RangeFieldType,
274  1,Dune::FieldVector<typename T::Traits::RangeFieldType,1> > Traits;
275 
277  ConvectionDiffusionDirichletExtensionAdapter (const typename Traits::GridViewType& g_, T& t_)
278  : g(g_), t(t_)
279  {}
280 
282  inline void evaluate (const typename Traits::ElementType& e,
283  const typename Traits::DomainType& x,
284  typename Traits::RangeType& y) const
285  {
286  y = t.g(e,x);
287  }
288 
289  inline const typename Traits::GridViewType& getGridView () const
290  {
291  return g;
292  }
293 
294  inline void setTime(double time_)
295  {
296  t.setTime(time_);
297  }
298 
299  private:
300  const typename Traits::GridViewType g;
301  T& t;
302  };
303 
304 
309 template<typename T>
311  : public Dune::PDELab::GridFunctionBase<Dune::PDELab::GridFunctionTraits<typename T::Traits::GridViewType,
312  typename T::Traits::RangeFieldType,
313  T::Traits::GridViewType::dimension,Dune::FieldVector<typename T::Traits::RangeFieldType,T::Traits::GridViewType::dimension> >
314  ,ConvectionDiffusionExactGradientAdapter<T> >
315 {
316 public:
317  typedef Dune::PDELab::GridFunctionTraits<typename T::Traits::GridViewType,
318  typename T::Traits::RangeFieldType,
319  T::Traits::GridViewType::dimension,Dune::FieldVector<typename T::Traits::RangeFieldType,T::Traits::GridViewType::dimension> > Traits;
320 
322  ConvectionDiffusionExactGradientAdapter (const typename Traits::GridViewType& g_, const T& t_) : g(g_), t(t_) {}
323 
325  inline void evaluate (const typename Traits::ElementType& e,
326  const typename Traits::DomainType& x,
327  typename Traits::RangeType& y) const
328  {
329  y = t.gradient(e,x);
330  }
331 
332  inline const typename Traits::GridViewType& getGridView () const
333  {
334  return g;
335  }
336 
337 private:
338  const typename Traits::GridViewType g;
339  const T& t;
340 };
341  }
342 }
343 
344 
345 #endif
bool isNeumann(const I &ig, const Dune::FieldVector< typename I::ctype, I::dimension-1 > &coord) const
Definition: convectiondiffusionparameter.hh:190
Traits::PermTensorType A(const typename Traits::ElementType &e, const typename Traits::DomainType &x) const
tensor diffusion coefficient
Definition: convectiondiffusionparameter.hh:94
Dune::PDELab::AnalyticGridFunctionTraits< typename T::Traits::GridViewType, typename T::Traits::RangeFieldType, T::Traits::GridViewType::dimension > Traits
Definition: convectiondiffusionparameter.hh:218
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Evaluate the GridFunction at given position.
Definition: convectiondiffusionparameter.hh:282
Traits::RangeFieldType f(const typename Traits::ElementType &e, const typename Traits::DomainType &x) const
source term
Definition: convectiondiffusionparameter.hh:120
function signature for analytic functions on a grid
Definition: function.hh:898
GV::Grid::ctype DomainFieldType
Export type for domain field.
Definition: convectiondiffusionparameter.hh:39
const Traits::GridViewType & getGridView() const
Definition: convectiondiffusionparameter.hh:332
Class to define the boundary condition types.
Definition: convectiondiffusionparameter.hh:63
void setTime(double time_)
Definition: convectiondiffusionparameter.hh:246
const IG & ig
Definition: constraints.hh:148
Dune::PDELab::GridFunctionTraits< typename T::Traits::GridViewType, typename T::Traits::RangeFieldType, T::Traits::GridViewType::dimension, Dune::FieldVector< typename T::Traits::RangeFieldType, T::Traits::GridViewType::dimension > > Traits
Definition: convectiondiffusionparameter.hh:319
bool isDirichlet(const I &ig, const Dune::FieldVector< typename I::ctype, I::dimension-1 > &coord) const
Definition: convectiondiffusionparameter.hh:181
void evaluateGlobal(const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition: convectiondiffusionparameter.hh:227
Dune::PDELab::GridFunctionTraits< typename T::Traits::GridViewType, typename T::Traits::RangeFieldType, 1, Dune::FieldVector< typename T::Traits::RangeFieldType, 1 > > Traits
Definition: convectiondiffusionparameter.hh:274
Definition: adaptivity.hh:27
Dune::FieldVector< RF, GV::dimensionworld > RangeType
range type
Definition: convectiondiffusionparameter.hh:51
GV::Traits::template Codim< 0 >::Entity ElementType
codim 0 entity
Definition: function.hh:117
Traits::RangeType b(const typename Traits::ElementType &e, const typename Traits::DomainType &x) const
velocity field
Definition: convectiondiffusionparameter.hh:105
traits class for two phase parameter class
Definition: convectiondiffusion.hh:41
void setTime(double time_)
Definition: convectiondiffusionparameter.hh:294
Parameter class for solving the linear convection-diffusion equation.
Definition: convectiondiffusionparameter.hh:85
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Evaluate the GridFunction at given position.
Definition: convectiondiffusionparameter.hh:325
Type
Definition: convectiondiffusionparameter.hh:65
GV::Traits::template Codim< 0 >::Entity ElementType
grid types
Definition: convectiondiffusionparameter.hh:57
Definition: convectiondiffusionparameter.hh:310
an analytic grid function
Definition: function.hh:916
const Entity & e
Definition: localfunctionspace.hh:111
Traits::RangeFieldType c(const typename Traits::ElementType &e, const typename Traits::DomainType &x) const
sink term
Definition: convectiondiffusionparameter.hh:113
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Evaluate the GridFunction at given position.
Definition: convectiondiffusionparameter.hh:234
Dune::FieldVector< GV::Grid::ctype, GV::dimension > DomainType
domain type in dim-size coordinates
Definition: function.hh:48
Definition: convectiondiffusionparameter.hh:65
Definition: convectiondiffusionparameter.hh:162
Definition: convectiondiffusionparameter.hh:208
Dune::PDELab::AnalyticGridFunctionBase< Traits, ConvectionDiffusionVelocityExtensionAdapter< T > > BaseT
Definition: convectiondiffusionparameter.hh:219
ConvectionDiffusionParameterTraits< GV, RF > Traits
Definition: convectiondiffusionparameter.hh:90
RF RangeFieldType
Export type for range field.
Definition: convectiondiffusionparameter.hh:48
Traits::RangeFieldType o(const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &x) const
outflow boundary condition
Definition: convectiondiffusionparameter.hh:150
GV::Intersection IntersectionType
Definition: convectiondiffusionparameter.hh:58
dimension of the domain
Definition: convectiondiffusion.hh:49
ConvectionDiffusionBoundaryConditionAdapter(const typename T::Traits::GridViewType &gv_, const T &t_)
Definition: convectiondiffusionparameter.hh:171
const Traits::GridViewType & getGridView() const
Definition: convectiondiffusionparameter.hh:289
ConvectionDiffusionExactGradientAdapter(const typename Traits::GridViewType &g_, const T &t_)
constructor
Definition: convectiondiffusionparameter.hh:322
Definition: convectiondiffusionparameter.hh:265
Traits::RangeFieldType j(const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &x) const
Neumann boundary condition.
Definition: convectiondiffusionparameter.hh:143
Definition: constraintsparameters.hh:24
const Traits::GridViewType & getGridView() const
Definition: convectiondiffusionparameter.hh:241
Dune::FieldVector< DomainFieldType, dimDomain > DomainType
domain type
Definition: convectiondiffusionparameter.hh:42
Dune::FieldMatrix< RangeFieldType, dimDomain, dimDomain > PermTensorType
permeability tensor type
Definition: convectiondiffusionparameter.hh:54
ConvectionDiffusionBoundaryConditionAdapter(const T &t_)
Definition: convectiondiffusionparameter.hh:176
Dune::FieldVector< DomainFieldType, dimDomain-1 > IntersectionDomainType
domain type
Definition: convectiondiffusionparameter.hh:45
Traits::RangeFieldType g(const typename Traits::ElementType &e, const typename Traits::DomainType &x) const
Dirichlet boundary condition value.
Definition: convectiondiffusionparameter.hh:135
ConvectionDiffusionDirichletExtensionAdapter(const typename Traits::GridViewType &g_, T &t_)
constructor
Definition: convectiondiffusionparameter.hh:277
GV GridViewType
the grid view
Definition: convectiondiffusionparameter.hh:30
leaf of a function tree
Definition: function.hh:576
BCType bctype(const typename Traits::IntersectionType &is, const typename Traits::IntersectionDomainType &x) const
boundary condition type function
Definition: convectiondiffusionparameter.hh:127
ConvectionDiffusionVelocityExtensionAdapter(const typename Traits::GridViewType &gv_, T &t_)
constructor
Definition: convectiondiffusionparameter.hh:223
traits class holding the function signature, same as in local function
Definition: function.hh:175
Definition: constraintsparameters.hh:120