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DiffusionLFR.h
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1 ///////////////////////////////////////////////////////////////////////////////
2 //
3 // File: DiffusionLFR.h
4 //
5 // For more information, please see: http://www.nektar.info
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7 // The MIT License
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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
11 // Computing and Imaging Institute, University of Utah (USA).
12 //
13 // License for the specific language governing rights and limitations under
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31 //
32 // Description: LFR diffusion class.
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #ifndef NEKTAR_SOLVERUTILS_DIFFUSIONLFR
37 #define NEKTAR_SOLVERUTILS_DIFFUSIONLFR
38 
40 
41 namespace Nektar
42 {
43  namespace SolverUtils
44  {
45  class DiffusionLFR : public Diffusion
46  {
47  public:
48  static DiffusionSharedPtr create(std::string diffType)
49  {
50  return DiffusionSharedPtr(new DiffusionLFR(diffType));
51  }
52 
53  static std::string type[];
54 
57 
62 
71 
72  protected:
73  DiffusionLFR(std::string diffType);
74 
77 
88 
91 
92  std::string m_diffType;
93 
94  virtual void v_InitObject(
97 
98  virtual void v_SetupMetrics(
101 
102  virtual void v_SetupCFunctions(
105 
106  virtual void v_Diffuse(
107  const int nConvectiveFields,
109  const Array<OneD, Array<OneD, NekDouble> > &inarray,
110  Array<OneD, Array<OneD, NekDouble> > &outarray);
111 
112  virtual void v_NumFluxforScalar(
114  const Array<OneD, Array<OneD, NekDouble> > &ufield,
116 
117  virtual void v_WeakPenaltyforScalar(
119  const int var,
120  const Array<OneD, const NekDouble> &ufield,
121  Array<OneD, NekDouble> &penaltyflux);
122 
123  virtual void v_NumFluxforVector(
125  const Array<OneD, Array<OneD, NekDouble> > &ufield,
127  Array<OneD, Array<OneD, NekDouble> > &qflux);
128 
129  virtual void v_WeakPenaltyforVector(
131  const int var,
132  const int dir,
133  const Array<OneD, const NekDouble> &qfield,
134  Array<OneD, NekDouble> &penaltyflux,
135  NekDouble C11);
136 
137  virtual void v_DerCFlux_1D(
138  const int nConvectiveFields,
140  const Array<OneD, const NekDouble> &flux,
141  const Array<OneD, const NekDouble> &iFlux,
142  Array<OneD, NekDouble> &derCFlux);
143 
144  virtual void v_DerCFlux_2D(
145  const int nConvectiveFields,
146  const int direction,
148  const Array<OneD, const NekDouble> &flux,
149  const Array<OneD, NekDouble> &iFlux,
150  Array<OneD, NekDouble> &derCFlux);
151 
152  virtual void v_DivCFlux_2D(
153  const int nConvectiveFields,
155  const Array<OneD, const NekDouble> &fluxX1,
156  const Array<OneD, const NekDouble> &fluxX2,
157  const Array<OneD, const NekDouble> &numericalFlux,
158  Array<OneD, NekDouble> &divCFlux);
159 
160  virtual void v_DivCFlux_2D_Gauss(
161  const int nConvectiveFields,
163  const Array<OneD, const NekDouble> &fluxX1,
164  const Array<OneD, const NekDouble> &fluxX2,
165  const Array<OneD, const NekDouble> &numericalFlux,
166  Array<OneD, NekDouble> &divCFlux);
167  };
168  }
169 }
170 
171 #endif
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi1
Definition: DiffusionLFR.h:63
virtual void v_DivCFlux_2D(const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const NekDouble > &fluxX1, const Array< OneD, const NekDouble > &fluxX2, const Array< OneD, const NekDouble > &numericalFlux, Array< OneD, NekDouble > &divCFlux)
Compute the divergence of the corrective flux for 2D problems.
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi3
Definition: DiffusionLFR.h:67
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e2
Definition: DiffusionLFR.h:60
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e3
Definition: DiffusionLFR.h:61
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi1
Definition: DiffusionLFR.h:64
virtual void v_NumFluxforVector(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux)
Build the numerical flux for the 2nd order derivatives.
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DU1
Definition: DiffusionLFR.h:79
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi2
Definition: DiffusionLFR.h:65
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
boost::shared_ptr< SessionReader > SessionReaderSharedPtr
Definition: MeshPartition.h:51
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi3
Definition: DiffusionLFR.h:68
Array< OneD, NekDouble > m_jac
Definition: DiffusionLFR.h:55
static DiffusionSharedPtr create(std::string diffType)
Definition: DiffusionLFR.h:48
Array< OneD, Array< OneD, NekDouble > > m_divFC
Definition: DiffusionLFR.h:87
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Definition: DiffusionLFR.h:75
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi2
Definition: DiffusionLFR.h:66
virtual void v_InitObject(LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
Initiliase DiffusionLFR objects and store them before starting the time-stepping. ...
virtual void v_SetupCFunctions(LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
Setup the derivatives of the correction functions. For more details see J Sci Comput (2011) 47: 50–7...
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e1
Definition: DiffusionLFR.h:59
virtual void v_WeakPenaltyforScalar(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const int var, const Array< OneD, const NekDouble > &ufield, Array< OneD, NekDouble > &penaltyflux)
Imposes appropriate bcs for the 1st order derivatives.
virtual void v_NumFluxforScalar(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux)
Builds the numerical flux for the 1st order derivatives.
boost::shared_ptr< Diffusion > DiffusionSharedPtr
A shared pointer to an EquationSystem object.
Definition: Diffusion.h:164
double NekDouble
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DFC1
Definition: DiffusionLFR.h:80
virtual void v_SetupMetrics(LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
Setup the metric terms to compute the contravariant fluxes. (i.e. this special metric terms transform...
virtual void v_DerCFlux_1D(const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const NekDouble > &flux, const Array< OneD, const NekDouble > &iFlux, Array< OneD, NekDouble > &derCFlux)
Compute the derivative of the corrective flux for 1D problems.
virtual void v_DerCFlux_2D(const int nConvectiveFields, const int direction, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const NekDouble > &flux, const Array< OneD, NekDouble > &iFlux, Array< OneD, NekDouble > &derCFlux)
Compute the derivative of the corrective flux wrt a given coordinate for 2D problems.
Array< OneD, Array< OneD, NekDouble > > m_gmat
Definition: DiffusionLFR.h:56
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e0
Definition: DiffusionLFR.h:58
DiffusionLFR(std::string diffType)
DiffusionLFR uses the Flux Reconstruction (FR) approach to compute the diffusion term. The implementation is only for segments, quadrilaterals and hexahedra at the moment.
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DFC2
Definition: DiffusionLFR.h:85
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_tmp1
Definition: DiffusionLFR.h:89
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_tmp2
Definition: DiffusionLFR.h:90
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_IF1
Definition: DiffusionLFR.h:78
virtual void v_WeakPenaltyforVector(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const int var, const int dir, const Array< OneD, const NekDouble > &qfield, Array< OneD, NekDouble > &penaltyflux, NekDouble C11)
Imposes appropriate bcs for the 2nd order derivatives.
virtual void v_Diffuse(const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
Calculate FR Diffusion for the linear problems using an LDG interface flux.
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DD1
Definition: DiffusionLFR.h:83
Array< OneD, Array< OneD, NekDouble > > m_divFD
Definition: DiffusionLFR.h:86
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_D1
Definition: DiffusionLFR.h:82
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_BD1
Definition: DiffusionLFR.h:81
LibUtilities::SessionReaderSharedPtr m_session
Definition: DiffusionLFR.h:76
virtual void v_DivCFlux_2D_Gauss(const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, const NekDouble > &fluxX1, const Array< OneD, const NekDouble > &fluxX2, const Array< OneD, const NekDouble > &numericalFlux, Array< OneD, NekDouble > &divCFlux)
Compute the divergence of the corrective flux for 2D problems where POINTSTYPE="GaussGaussLegendre".
Array< OneD, Array< OneD, NekDouble > > m_IF2
Definition: DiffusionLFR.h:84