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StdExpansion3D.h
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2 //
3 // File StdExpansion3D.h
4 //
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9 // Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10 // Department of Aeronautics, Imperial College London (UK), and Scientific
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31 //
32 // Description: Daughter of StdExpansion. This class contains routine
33 // which are common to 3D expansion. Typically this inolves physiocal
34 // space operations.
35 //
36 ///////////////////////////////////////////////////////////////////////////////
37 
38 #ifndef STDEXP3D_H
39 #define STDEXP3D_H
40 
41 #include <StdRegions/StdExpansion.h>
42 #include <StdRegions/StdRegionsDeclspec.h>
43 
44 namespace Nektar
45 {
46  namespace StdRegions
47  {
48 
49  class StdExpansion3D;
50  typedef boost::shared_ptr<StdExpansion3D> StdExpansion3DSharedPtr;
51 
52  class StdExpansion3D: virtual public StdExpansion
53  {
54 
55  public:
56  STD_REGIONS_EXPORT StdExpansion3D();
57  STD_REGIONS_EXPORT StdExpansion3D(int numcoeffs, const LibUtilities::BasisKey &Ba,
58  const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc);
59  STD_REGIONS_EXPORT StdExpansion3D(const StdExpansion3D &T);
60  STD_REGIONS_EXPORT virtual ~StdExpansion3D();
61 
62  // Differentiation
63 
64  /** \brief Calculate the 3D derivative in the local
65  * tensor/collapsed coordinate at the physical points
66  *
67  * This function is independent of the expansion basis and can
68  * therefore be defined for all tensor product distribution of
69  * quadrature points in a generic manner. The key operations are:
70  *
71  * - \f$ \frac{d}{d\eta_1} \rightarrow {\bf D^T_0 u } \f$ \n
72  * - \f$ \frac{d}{d\eta_2} \rightarrow {\bf D_1 u } \f$
73  * - \f$ \frac{d}{d\eta_3} \rightarrow {\bf D_2 u } \f$
74  *
75  * \param inarray array of physical points to be differentiated
76  * \param outarray_d1 the resulting array of derivative in the
77  * \f$\eta_1\f$ direction will be stored in outarray_d1 as output
78  * of the function
79  * \param outarray_d2 the resulting array of derivative in the
80  * \f$\eta_2\f$ direction will be stored in outarray_d2 as output
81  * of the function
82  * \param outarray_d3 the resulting array of derivative in the
83  * \f$\eta_3\f$ direction will be stored in outarray_d3 as output
84  * of the function
85  *
86  * Recall that:
87  * \f$
88  * \hspace{1cm} \begin{array}{llll}
89  * \mbox{Shape} & \mbox{Cartesian coordinate range} &
90  * \mbox{Collapsed coord.} &
91  * \mbox{Collapsed coordinate definition}\\
92  * \mbox{Hexahedral} & -1 \leq \xi_1,\xi_2, \xi_3 \leq 1
93  * & -1 \leq \eta_1,\eta_2, \eta_3 \leq 1
94  * & \eta_1 = \xi_1, \eta_2 = \xi_2, \eta_3 = \xi_3 \\
95  * \mbox{Tetrahedral} & -1 \leq \xi_1,\xi_2,\xi_3; \xi_1+\xi_2 +\xi_3 \leq -1
96  * & -1 \leq \eta_1,\eta_2, \eta_3 \leq 1
97  * & \eta_1 = \frac{2(1+\xi_1)}{-\xi_2 -\xi_3}-1, \eta_2 = \frac{2(1+\xi_2)}{1 - \xi_3}-1, \eta_3 = \xi_3 \\
98  * \end{array} \f$
99  */
100  STD_REGIONS_EXPORT void PhysTensorDeriv(const Array<OneD, const NekDouble> &inarray,
101  Array<OneD, NekDouble> &outarray_d1,
102  Array<OneD, NekDouble> &outarray_d2,
103  Array<OneD, NekDouble> &outarray_d3);
104 
105  STD_REGIONS_EXPORT void BwdTrans_SumFacKernel(
106  const Array<OneD, const NekDouble>& base0,
107  const Array<OneD, const NekDouble>& base1,
108  const Array<OneD, const NekDouble>& base2,
109  const Array<OneD, const NekDouble>& inarray,
110  Array<OneD, NekDouble>& outarray,
111  Array<OneD, NekDouble>& wsp,
112  bool doCheckCollDir0,
113  bool doCheckCollDir1,
114  bool doCheckCollDir2);
115 
116  STD_REGIONS_EXPORT void IProductWRTBase_SumFacKernel(
117  const Array<OneD, const NekDouble>& base0,
118  const Array<OneD, const NekDouble>& base1,
119  const Array<OneD, const NekDouble>& base2,
120  const Array<OneD, const NekDouble>& inarray,
121  Array<OneD, NekDouble> &outarray,
122  Array<OneD, NekDouble> &wsp,
123  bool doCheckCollDir0,
124  bool doCheckCollDir1,
125  bool doCheckCollDir2);
126 
127  protected:
128 
129  /** \brief This function evaluates the expansion at a single
130  * (arbitrary) point of the domain
131  *
132  *
133  * Based on the value of the expansion at the quadrature points,
134  * this function calculates the value of the expansion at an
135  * arbitrary single points (with coordinates \f$ \mathbf{x_c}\f$
136  * given by the pointer \a coords). This operation, equivalent to
137  * \f[ u(\mathbf{x_c}) = \sum_p \phi_p(\mathbf{x_c}) \hat{u}_p \f]
138  * is evaluated using Lagrangian interpolants through the quadrature
139  * points:
140  * \f[ u(\mathbf{x_c}) = \sum_p h_p(\mathbf{x_c}) u_p\f]
141  *
142  * This function requires that the physical value array
143  * \f$\mathbf{u}\f$ (implemented as the attribute #phys)
144  * is set.
145  *
146  * \param coords the coordinates of the single point
147  * \return returns the value of the expansion at the single point
148  */
149  STD_REGIONS_EXPORT virtual NekDouble v_PhysEvaluate(
150  const Array<OneD, const NekDouble>& coords,
151  const Array<OneD, const NekDouble>& physvals);
152 
153 
154  STD_REGIONS_EXPORT virtual NekDouble v_PhysEvaluate(
155  const Array<OneD, DNekMatSharedPtr >& I,
156  const Array<OneD, const NekDouble >& physvals);
157 
158  STD_REGIONS_EXPORT virtual void v_BwdTrans_SumFacKernel(
159  const Array<OneD, const NekDouble>& base0,
160  const Array<OneD, const NekDouble>& base1,
161  const Array<OneD, const NekDouble>& base2,
162  const Array<OneD, const NekDouble>& inarray,
163  Array<OneD, NekDouble>& outarray,
164  Array<OneD, NekDouble>& wsp,
165  bool doCheckCollDir0,
166  bool doCheckCollDir1,
167  bool doCheckCollDir2) = 0;
168 
169  STD_REGIONS_EXPORT virtual void v_IProductWRTBase_SumFacKernel(
170  const Array<OneD, const NekDouble>& base0,
171  const Array<OneD, const NekDouble>& base1,
172  const Array<OneD, const NekDouble>& base2,
173  const Array<OneD, const NekDouble>& inarray,
174  Array<OneD, NekDouble>& outarray,
175  Array<OneD, NekDouble>& wsp,
176  bool doCheckCollDir0,
177  bool doCheckCollDir1,
178  bool doCheckCollDir2) = 0;
179 
180  STD_REGIONS_EXPORT virtual void v_LaplacianMatrixOp_MatFree(
181  const Array<OneD, const NekDouble> &inarray,
182  Array<OneD,NekDouble> &outarray,
183  const StdRegions::StdMatrixKey &mkey);
184 
185  STD_REGIONS_EXPORT virtual void v_HelmholtzMatrixOp_MatFree(
186  const Array<OneD, const NekDouble> &inarray,
187  Array<OneD,NekDouble> &outarray,
188  const StdRegions::StdMatrixKey &mkey);
189 
190  STD_REGIONS_EXPORT virtual NekDouble v_Integral(
191  const Array<OneD, const NekDouble>& inarray);
192 
193  STD_REGIONS_EXPORT virtual void v_NegateFaceNormal(
194  const int face);
195 
196  std::map<int, NormalVector> m_faceNormals;
197  std::map<int, bool> m_negatedNormals;
198 
199  private:
200 
201  virtual int v_GetShapeDimension() const
202  {
203  return 3;
204  }
205 
206  virtual int v_GetCoordim(void)
207  {
208  return 3;
209  }
210  STD_REGIONS_EXPORT const NormalVector & v_GetSurfaceNormal(const int id) const;
211  STD_REGIONS_EXPORT const NormalVector & v_GetFaceNormal(const int face) const;
212 
213  };
214 
215  STD_REGIONS_EXPORT LibUtilities::BasisKey EvaluateTriFaceBasisKey(
216  const int facedir,
217  const LibUtilities::BasisType faceDirBasisType,
218  const int numpoints,
219  const int nummodes);
220 
221  STD_REGIONS_EXPORT LibUtilities::BasisKey EvaluateQuadFaceBasisKey(
222  const int facedir,
223  const LibUtilities::BasisType faceDirBasisType,
224  const int numpoints,
225  const int nummodes);
226  } //end of namespace
227 } //end of namespace
228 
229 #endif //STDEXP3D_H
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