Nektar++
DiffusionLFRNS.h
Go to the documentation of this file.
1 ///////////////////////////////////////////////////////////////////////////////
2 //
3 // File: DiffusionLFRNS.h
4 //
5 // For more information, please see: http://www.nektar.info
6 //
7 // The MIT License
8 //
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 // Permission is hereby granted, free of charge, to any person obtaining a
14 // copy of this software and associated documentation files (the "Software"),
15 // to deal in the Software without restriction, including without limitation
16 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
17 // and/or sell copies of the Software, and to permit persons to whom the
18 // Software is furnished to do so, subject to the following conditions:
19 //
20 // The above copyright notice and this permission notice shall be included
21 // in all copies or substantial portions of the Software.
22 //
23 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
24 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
25 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
26 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
27 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
28 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
29 // DEALINGS IN THE SOFTWARE.
30 //
31 // Description: LFRNS diffusion class.
32 //
33 ///////////////////////////////////////////////////////////////////////////////
34 
35 #ifndef NEKTAR_SOLVERUTILS_DIFFUSIONLFRNS
36 #define NEKTAR_SOLVERUTILS_DIFFUSIONLFRNS
37 
39 
40 namespace Nektar
41 {
42 namespace SolverUtils
43 {
44 class DiffusionLFRNS : public Diffusion
45 {
46 public:
47  static DiffusionSharedPtr create(std::string diffType)
48  {
49  return DiffusionSharedPtr(new DiffusionLFRNS(diffType));
50  }
51 
52  static std::string type[];
53 
56 
61 
70 
71 protected:
72  DiffusionLFRNS(std::string diffType);
73 
80  std::string m_ViscosityType;
85 
97 
100 
102 
105 
106  std::string m_diffType;
107 
108  virtual void v_InitObject(
111 
112  virtual void v_Diffuse(
113  const std::size_t nConvective,
115  const Array<OneD, Array<OneD, NekDouble>> &inarray,
116  Array<OneD, Array<OneD, NekDouble>> &outarray,
117  const Array<OneD, Array<OneD, NekDouble>> &pFwd,
118  const Array<OneD, Array<OneD, NekDouble>> &pBwd) override;
119 
120  virtual void v_SetHomoDerivs(
121  Array<OneD, Array<OneD, NekDouble>> &deriv) override
122  {
123  m_homoDerivs = deriv;
124  }
125 
127  override
128  {
129  return m_viscTensor;
130  }
131 
132 private:
135 
138 
139  void NumericalFluxO1(
141  const Array<OneD, Array<OneD, NekDouble>> &inarray,
142  Array<OneD, Array<OneD, Array<OneD, NekDouble>>> &numericalFluxO1);
143 
144  void WeakPenaltyO1(
146  const Array<OneD, Array<OneD, NekDouble>> &inarray,
147  Array<OneD, Array<OneD, NekDouble>> &penaltyfluxO1);
148 
149  void NumericalFluxO2(
151  const Array<OneD, Array<OneD, NekDouble>> &ufield,
154 
155  void WeakPenaltyO2(
157  const int var, const int dir,
158  const Array<OneD, const NekDouble> &qfield,
159  Array<OneD, NekDouble> &penaltyflux);
160 
161  void DerCFlux_1D(const int nConvectiveFields,
163  const Array<OneD, const NekDouble> &flux,
164  const Array<OneD, const NekDouble> &iFlux,
165  Array<OneD, NekDouble> &derCFlux);
166 
167  void DerCFlux_2D(const int nConvectiveFields, const int direction,
169  const Array<OneD, const NekDouble> &flux,
170  const Array<OneD, NekDouble> &iFlux,
171  Array<OneD, NekDouble> &derCFlux);
172 
173  void DivCFlux_2D(const int nConvectiveFields,
175  const Array<OneD, const NekDouble> &fluxX1,
176  const Array<OneD, const NekDouble> &fluxX2,
177  const Array<OneD, const NekDouble> &numericalFlux,
178  Array<OneD, NekDouble> &divCFlux);
179 
180  void DivCFlux_2D_Gauss(
181  const int nConvectiveFields,
183  const Array<OneD, const NekDouble> &fluxX1,
184  const Array<OneD, const NekDouble> &fluxX2,
185  const Array<OneD, const NekDouble> &numericalFlux,
186  Array<OneD, NekDouble> &divCFlux);
187 };
188 
189 typedef std::shared_ptr<DiffusionLFRNS> DiffusionLFRNSSharedPtr;
190 } // namespace SolverUtils
191 } // namespace Nektar
192 
193 #endif
void 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_SetHomoDerivs(Array< OneD, Array< OneD, NekDouble >> &deriv) override
Array< OneD, Array< OneD, NekDouble > > m_traceVel
Array< OneD, Array< OneD, NekDouble > > m_divFD
Array< OneD, NekDouble > m_jac
virtual void v_Diffuse(const std::size_t nConvective, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray, const Array< OneD, Array< OneD, NekDouble >> &pFwd, const Array< OneD, Array< OneD, NekDouble >> &pBwd) override
Calculate FR Diffusion for the Navier-Stokes (NS) equations using an LDG interface flux.
void 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.
Array< OneD, Array< OneD, NekDouble > > m_viscFlux
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_tmp2
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e1
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DFC2
void WeakPenaltyO1(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, NekDouble >> &penaltyfluxO1)
Imposes appropriate bcs for the 1st order derivatives.
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi2
void NumericalFluxO2(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, NekDouble > > m_divFC
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DFC1
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi3
Array< OneD, Array< OneD, NekDouble > > m_gmat
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e3
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e2
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi2
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_viscTensor
void 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: 50–72...
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_tmp1
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi3
Array< OneD, Array< OneD, NekDouble > > m_Q2D_e0
void 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.
void 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, Array< OneD, NekDouble > > > m_IF1
void 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, Array< OneD, NekDouble > > > m_D1
DiffusionLFRNS(std::string diffType)
DiffusionLFRNS uses the Flux Reconstruction (FR) approach to compute the diffusion term....
LibUtilities::SessionReaderSharedPtr m_session
Array< OneD, Array< OneD, NekDouble > > m_homoDerivs
virtual Array< OneD, Array< OneD, Array< OneD, NekDouble > > > & v_GetFluxTensor() override
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_BD1
Array< OneD, Array< OneD, NekDouble > > m_dGR_xi1
static DiffusionSharedPtr create(std::string diffType)
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DU1
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_DD1
void WeakPenaltyO2(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const int var, const int dir, const Array< OneD, const NekDouble > &qfield, Array< OneD, NekDouble > &penaltyflux)
Imposes appropriate bcs for the 2nd order derivatives.
void NumericalFluxO1(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble >> &inarray, Array< OneD, Array< OneD, Array< OneD, NekDouble >>> &numericalFluxO1)
Builds the numerical flux for the 1st order derivatives.
virtual void v_InitObject(LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields) override
Initiliase DiffusionLFRNS objects and store them before starting the time-stepping.
Array< OneD, Array< OneD, NekDouble > > m_dGL_xi1
std::shared_ptr< SessionReader > SessionReaderSharedPtr
std::shared_ptr< SolverUtils::Diffusion > DiffusionSharedPtr
A shared pointer to an EquationSystem object.
Definition: Diffusion.h:550
std::shared_ptr< DiffusionLFRNS > DiffusionLFRNSSharedPtr
The above copyright notice and this permission notice shall be included.
Definition: CoupledSolver.h:2
std::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:75
double NekDouble