Nektar++
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Friends Macros Pages
Static Public Member Functions | Static Public Attributes | Protected Member Functions | Protected Attributes | List of all members
Nektar::SolverUtils::DiffusionLDGNS Class Reference

#include <DiffusionLDGNS.h>

Inheritance diagram for Nektar::SolverUtils::DiffusionLDGNS:
Inheritance graph
[legend]
Collaboration diagram for Nektar::SolverUtils::DiffusionLDGNS:
Collaboration graph
[legend]

Static Public Member Functions

static DiffusionSharedPtr create (std::string diffType)
 

Static Public Attributes

static std::string type
 

Protected Member Functions

 DiffusionLDGNS ()
 
virtual void v_InitObject (LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
 
virtual void v_Diffuse (const int 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=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &pBwd=NullNekDoubleArrayofArray)
 Calculate weak DG Diffusion in the LDG form for the Navier-Stokes (NS) equations: More...
 
virtual void v_NumericalFluxO1 (const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &numericalFluxO1, const Array< OneD, Array< OneD, NekDouble > > &pFwd=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &pBwd=NullNekDoubleArrayofArray)
 Builds the numerical flux for the 1st order derivatives. More...
 
virtual void v_WeakPenaltyO1 (const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &inarray, const Array< OneD, Array< OneD, NekDouble > > &uplus, Array< OneD, Array< OneD, NekDouble > > &penaltyfluxO1)
 Imposes appropriate bcs for the 1st order derivatives. More...
 
virtual void v_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. More...
 
virtual void v_WeakPenaltyO2 (const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const int var, const int dir, const Array< OneD, const NekDouble > &qfield, const Array< OneD, const NekDouble > &qtemp, Array< OneD, NekDouble > &penaltyflux)
 Imposes appropriate bcs for the 2nd order derivatives. More...
 
virtual void v_SetHomoDerivs (Array< OneD, Array< OneD, NekDouble > > &deriv)
 
virtual Array< OneD, Array
< OneD, Array< OneD, NekDouble > > > & 		v_GetFluxTensor ()
 

Protected Attributes

Array< OneD, Array< OneD,
NekDouble > > 		m_traceVel
 
Array< OneD, Array< OneD,
NekDouble > > 		m_traceNormals
 
LibUtilities::SessionReaderSharedPtr m_session
 
NekDouble m_gamma
 
NekDouble m_gasConstant
 
NekDouble m_Twall
 
std::string m_ViscosityType
 
NekDouble m_mu
 
NekDouble m_thermalConductivity
 
NekDouble m_rhoInf
 
NekDouble m_pInf
 
Array< OneD, Array< OneD,
Array< OneD, NekDouble > > > 		m_viscTensor
 
Array< OneD, Array< OneD,
NekDouble > > 		m_homoDerivs
 
int m_spaceDim
 
int m_diffDim
 
- Protected Attributes inherited from Nektar::SolverUtils::Diffusion
DiffusionFluxVecCB m_fluxVector
 
DiffusionFluxVecCBNS m_fluxVectorNS
 
DiffusionArtificialDiffusion m_ArtificialDiffusionVector
 

Additional Inherited Members

- Public Member Functions inherited from Nektar::SolverUtils::Diffusion
SOLVER_UTILS_EXPORT void InitObject (LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
 
SOLVER_UTILS_EXPORT void Diffuse (const int nConvectiveFields, 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=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &pBwd=NullNekDoubleArrayofArray)
 
SOLVER_UTILS_EXPORT void FluxVec (Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &fluxvector)
 
template<typename FuncPointerT , typename ObjectPointerT >
void SetFluxVector (FuncPointerT func, ObjectPointerT obj)
 
void SetFluxVectorVec (DiffusionFluxVecCB fluxVector)
 
template<typename FuncPointerT , typename ObjectPointerT >
void SetFluxVectorNS (FuncPointerT func, ObjectPointerT obj)
 
template<typename FuncPointerT , typename ObjectPointerT >
void SetArtificialDiffusionVector (FuncPointerT func, ObjectPointerT obj)
 
void SetFluxVectorNS (DiffusionFluxVecCBNS fluxVector)
 
void SetHomoDerivs (Array< OneD, Array< OneD, NekDouble > > &deriv)
 
virtual Array< OneD, Array
< OneD, Array< OneD, NekDouble > > > & 		GetFluxTensor ()
 

Detailed Description

Definition at line 45 of file DiffusionLDGNS.h.

Constructor & Destructor Documentation

Nektar::SolverUtils::DiffusionLDGNS::DiffusionLDGNS ( )
protected

Definition at line 49 of file DiffusionLDGNS.cpp.

Referenced by create().

50  {
51  }

Member Function Documentation

static DiffusionSharedPtr Nektar::SolverUtils::DiffusionLDGNS::create ( std::string  diffType)
inlinestatic

Definition at line 48 of file DiffusionLDGNS.h.

References DiffusionLDGNS().

49  {
50  return DiffusionSharedPtr(new DiffusionLDGNS());
51  }
Nektar::SolverUtils::DiffusionSharedPtr
boost::shared_ptr< Diffusion > DiffusionSharedPtr
A shared pointer to an EquationSystem object.
Definition: Diffusion.h:162
void Nektar::SolverUtils::DiffusionLDGNS::v_Diffuse ( const int  nConvectiveFields,
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 = NullNekDoubleArrayofArray,
const Array< OneD, Array< OneD, NekDouble > > &  pBwd = NullNekDoubleArrayofArray 
)
protectedvirtual

Calculate weak DG Diffusion in the LDG form for the Navier-Stokes (NS) equations:

$ \langle\psi, \hat{u}\cdot n\rangle - \langle\nabla\psi \cdot u\rangle \langle\phi, \hat{q}\cdot n\rangle - (\nabla \phi \cdot q) \rangle $

The equations that need a diffusion operator are those related with the velocities and with the energy.

Implements Nektar::SolverUtils::Diffusion.

Definition at line 105 of file DiffusionLDGNS.cpp.

References m_diffDim, Nektar::SolverUtils::Diffusion::m_fluxVectorNS, m_homoDerivs, m_spaceDim, m_viscTensor, Vmath::Neg(), v_NumericalFluxO1(), v_NumericalFluxO2(), and Vmath::Vadd().

112  {
113  int i, j;
114  int nDim = fields[0]->GetCoordim(0);
115  int nScalars = inarray.num_elements();
116  int nPts = fields[0]->GetTotPoints();
117  int nCoeffs = fields[0]->GetNcoeffs();
118  int nTracePts = fields[0]->GetTrace()->GetTotPoints();
119 
120  Array<OneD, NekDouble> tmp1(nCoeffs);
121  Array<OneD, Array<OneD, NekDouble> > tmp2(nConvectiveFields);
122 
123  Array<OneD, Array<OneD, Array<OneD, NekDouble> > >
124  numericalFluxO1(m_spaceDim);
125  Array<OneD, Array<OneD, Array<OneD, NekDouble> > >
126  derivativesO1(m_spaceDim);
127 
128  for (j = 0; j < m_spaceDim; ++j)
129  {
130  numericalFluxO1[j] = Array<OneD, Array<OneD, NekDouble> >(
131  nScalars);
132  derivativesO1[j] = Array<OneD, Array<OneD, NekDouble> >(
133  nScalars);
134 
135  for (i = 0; i < nScalars; ++i)
136  {
137  numericalFluxO1[j][i] = Array<OneD, NekDouble>(
138  nTracePts, 0.0);
139  derivativesO1[j][i] = Array<OneD, NekDouble>(nPts, 0.0);
140  }
141  }
142 
143  // Compute the numerical fluxes for the first order derivatives
144  v_NumericalFluxO1(fields, inarray, numericalFluxO1, pFwd, pBwd);
145 
146  for (j = 0; j < nDim; ++j)
147  {
148  for (i = 0; i < nScalars; ++i)
149  {
150  fields[i]->IProductWRTDerivBase (j, inarray[i], tmp1);
151  Vmath::Neg (nCoeffs, tmp1, 1);
152  fields[i]->AddTraceIntegral (numericalFluxO1[j][i],
153  tmp1);
154  fields[i]->SetPhysState (false);
155  fields[i]->MultiplyByElmtInvMass(tmp1, tmp1);
156  fields[i]->BwdTrans (tmp1, derivativesO1[j][i]);
157  }
158  }
159 
160  // For 3D Homogeneous 1D only take derivatives in 3rd direction
161  if (m_diffDim == 1)
162  {
163  for (i = 0; i < nScalars; ++i)
164  {
165  derivativesO1[2][i] = m_homoDerivs[i];
166  }
167  }
168 
169  // Initialisation viscous tensor
170  m_viscTensor = Array<OneD, Array<OneD, Array<OneD, NekDouble> > >
171  (m_spaceDim);
172  Array<OneD, Array<OneD, NekDouble> > viscousFlux(nConvectiveFields);
173 
174  for (j = 0; j < m_spaceDim; ++j)
175  {
176  m_viscTensor[j] = Array<OneD, Array<OneD, NekDouble> >(
177  nScalars+1);
178  for (i = 0; i < nScalars+1; ++i)
179  {
180  m_viscTensor[j][i] = Array<OneD, NekDouble>(nPts, 0.0);
181  }
182  }
183 
184  for (i = 0; i < nConvectiveFields; ++i)
185  {
186  viscousFlux[i] = Array<OneD, NekDouble>(nTracePts, 0.0);
187  }
188 
189  m_fluxVectorNS(inarray, derivativesO1, m_viscTensor);
190 
191  // Compute u from q_{\eta} and q_{\xi}
192  // Obtain numerical fluxes
193  v_NumericalFluxO2(fields, inarray, m_viscTensor, viscousFlux);
194 
195  for (i = 0; i < nConvectiveFields; ++i)
196  {
197  tmp2[i] = Array<OneD, NekDouble>(nCoeffs, 0.0);
198 
199  for (j = 0; j < nDim; ++j)
200  {
201  fields[i]->IProductWRTDerivBase(j, m_viscTensor[j][i], tmp1);
202  Vmath::Vadd(nCoeffs, tmp1, 1, tmp2[i], 1, tmp2[i], 1);
203  }
204 
205  // Evaulate <\phi, \hat{F}\cdot n> - outarray[i]
206  Vmath::Neg (nCoeffs, tmp2[i], 1);
207  fields[i]->AddTraceIntegral (viscousFlux[i], tmp2[i]);
208  fields[i]->SetPhysState (false);
209  fields[i]->MultiplyByElmtInvMass(tmp2[i], tmp2[i]);
210  fields[i]->BwdTrans (tmp2[i], outarray[i]);
211  }
212  }
Nektar::SolverUtils::DiffusionLDGNS::m_homoDerivs
Array< OneD, Array< OneD, NekDouble > > m_homoDerivs
Definition: DiffusionLDGNS.h:72
Nektar::SolverUtils::Diffusion::m_fluxVectorNS
DiffusionFluxVecCBNS m_fluxVectorNS
Definition: Diffusion.h:130
Nektar::SolverUtils::DiffusionLDGNS::m_viscTensor
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_viscTensor
Definition: DiffusionLDGNS.h:70
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
Nektar::SolverUtils::DiffusionLDGNS::v_NumericalFluxO2
virtual void v_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.
Definition: DiffusionLDGNS.cpp:496
Nektar::SolverUtils::DiffusionLDGNS::v_NumericalFluxO1
virtual void v_NumericalFluxO1(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &numericalFluxO1, const Array< OneD, Array< OneD, NekDouble > > &pFwd=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &pBwd=NullNekDoubleArrayofArray)
Builds the numerical flux for the 1st order derivatives.
Definition: DiffusionLDGNS.cpp:218
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:299
virtual Array<OneD, Array<OneD, Array<OneD, NekDouble> > >& Nektar::SolverUtils::DiffusionLDGNS::v_GetFluxTensor ( )
inlineprotectedvirtual

Reimplemented from Nektar::SolverUtils::Diffusion.

Definition at line 123 of file DiffusionLDGNS.h.

References m_viscTensor.

124  {
125  return m_viscTensor;
126  }
Nektar::SolverUtils::DiffusionLDGNS::m_viscTensor
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > m_viscTensor
Definition: DiffusionLDGNS.h:70
void Nektar::SolverUtils::DiffusionLDGNS::v_InitObject ( LibUtilities::SessionReaderSharedPtr  pSession,
Array< OneD, MultiRegions::ExpListSharedPtr >  pFields 
)
protectedvirtual

Reimplemented from Nektar::SolverUtils::Diffusion.

Definition at line 53 of file DiffusionLDGNS.cpp.

References m_diffDim, m_gamma, m_gasConstant, m_mu, m_pInf, m_rhoInf, m_session, m_spaceDim, m_thermalConductivity, m_traceNormals, m_traceVel, m_Twall, and m_ViscosityType.

56  {
57  m_session = pSession;
58  m_session->LoadParameter ("Gamma", m_gamma, 1.4);
59  m_session->LoadParameter ("GasConstant", m_gasConstant, 287.058);
60  m_session->LoadParameter ("Twall", m_Twall, 300.15);
61  m_session->LoadSolverInfo("ViscosityType", m_ViscosityType,
62  "Constant");
63  m_session->LoadParameter ("mu", m_mu, 1.78e-05);
64  m_session->LoadParameter ("thermalConductivity",
65  m_thermalConductivity, 0.0257);
66  m_session->LoadParameter ("rhoInf", m_rhoInf, 1.225);
67  m_session->LoadParameter ("pInf", m_pInf, 101325);
68 
69  // Setting up the normals
70  int i;
71  int nDim = pFields[0]->GetCoordim(0);
72  int nTracePts = pFields[0]->GetTrace()->GetTotPoints();
73 
74  m_spaceDim = nDim;
75  if (pSession->DefinesSolverInfo("HOMOGENEOUS"))
76  {
77  m_spaceDim = 3;
78  }
79 
80  m_diffDim = m_spaceDim - nDim;
81 
82  m_traceVel = Array<OneD, Array<OneD, NekDouble> >(m_spaceDim);
83  m_traceNormals = Array<OneD, Array<OneD, NekDouble> >(m_spaceDim);
84  for(i = 0; i < m_spaceDim; ++i)
85  {
86  m_traceVel[i] = Array<OneD, NekDouble> (nTracePts, 0.0);
87  m_traceNormals[i] = Array<OneD, NekDouble> (nTracePts);
88  }
89  pFields[0]->GetTrace()->GetNormals(m_traceNormals);
90  }
Nektar::SolverUtils::DiffusionLDGNS::m_traceNormals
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Definition: DiffusionLDGNS.h:59
Nektar::SolverUtils::DiffusionLDGNS::m_session
LibUtilities::SessionReaderSharedPtr m_session
Definition: DiffusionLDGNS.h:60
Nektar::SolverUtils::DiffusionLDGNS::m_traceVel
Array< OneD, Array< OneD, NekDouble > > m_traceVel
Definition: DiffusionLDGNS.h:58
void Nektar::SolverUtils::DiffusionLDGNS::v_NumericalFluxO1 ( const Array< OneD, MultiRegions::ExpListSharedPtr > &  fields,
const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &  numericalFluxO1,
const Array< OneD, Array< OneD, NekDouble > > &  pFwd = NullNekDoubleArrayofArray,
const Array< OneD, Array< OneD, NekDouble > > &  pBwd = NullNekDoubleArrayofArray 
)
protectedvirtual

Builds the numerical flux for the 1st order derivatives.

Definition at line 218 of file DiffusionLDGNS.cpp.

References m_spaceDim, m_traceNormals, Nektar::NullNekDoubleArrayofArray, Vmath::Svtvp(), v_WeakPenaltyO1(), and Vmath::Vmul().

Referenced by v_Diffuse().

225  {
226  int i, j;
227  int nTracePts = fields[0]->GetTrace()->GetTotPoints();
228  int nScalars = inarray.num_elements();
229  int nDim = fields[0]->GetCoordim(0);
230 
231  Array<OneD, NekDouble > Vn (nTracePts, 0.0);
232 
233  // Get the normal velocity Vn
234  for(i = 0; i < nDim; ++i)
235  {
236  Vmath::Svtvp(nTracePts, 1.0, m_traceNormals[i], 1,
237  Vn, 1, Vn, 1);
238  }
239 
240  // Store forwards/backwards space along trace space
241  Array<OneD, NekDouble> Fwd;
242  Array<OneD, NekDouble> Bwd;
243  Array<OneD, Array<OneD, NekDouble> > numflux(nScalars);
244 
245  for (i = 0; i < nScalars; ++i)
246  {
247  if (pFwd == NullNekDoubleArrayofArray ||
248  pBwd == NullNekDoubleArrayofArray)
249  {
250  Fwd = Array<OneD, NekDouble>(nTracePts);
251  Bwd = Array<OneD, NekDouble>(nTracePts);
252  fields[i]->GetFwdBwdTracePhys(inarray[i], Fwd, Bwd);
253  }
254  else
255  {
256  Fwd = pFwd[i];
257  Bwd = pBwd[i];
258  }
259  numflux[i] = Array<OneD, NekDouble>(nTracePts);
260  fields[0]->GetTrace()->Upwind(Vn, Fwd, Bwd, numflux[i]);
261  }
262 
263  // Extract internal values of the scalar variables for Neumann bcs
264  Array< OneD, Array<OneD, NekDouble > > uplus(nScalars);
265 
266  for (i = 0; i < nScalars; ++i)
267  {
268  uplus[i] = Array<OneD, NekDouble>(nTracePts, 0.0);
269  fields[i]->ExtractTracePhys(inarray[i], uplus[i]);
270  }
271 
272  // Modify the values in case of boundary interfaces
273  if (fields[0]->GetBndCondExpansions().num_elements())
274  {
275  v_WeakPenaltyO1(fields, inarray, uplus, numflux);
276  }
277 
278  // Splitting the numerical flux into the dimensions
279  for (j = 0; j < m_spaceDim; ++j)
280  {
281  for (i = 0; i < nScalars; ++i)
282  {
283  Vmath::Vmul(nTracePts, m_traceNormals[j], 1,
284  numflux[i], 1, numericalFluxO1[j][i], 1);
285  }
286  }
287  }
Nektar::SolverUtils::DiffusionLDGNS::m_traceNormals
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Definition: DiffusionLDGNS.h:59
Vmath::Svtvp
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:485
Nektar::SolverUtils::DiffusionLDGNS::v_WeakPenaltyO1
virtual void v_WeakPenaltyO1(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &inarray, const Array< OneD, Array< OneD, NekDouble > > &uplus, Array< OneD, Array< OneD, NekDouble > > &penaltyfluxO1)
Imposes appropriate bcs for the 1st order derivatives.
Definition: DiffusionLDGNS.cpp:293
Nektar::NullNekDoubleArrayofArray
static Array< OneD, Array< OneD, NekDouble > > NullNekDoubleArrayofArray
Definition: SharedArray.hpp:786
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:183
void Nektar::SolverUtils::DiffusionLDGNS::v_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 
)
protectedvirtual

Build the numerical flux for the 2nd order derivatives.

Definition at line 496 of file DiffusionLDGNS.cpp.

References m_traceNormals, Vmath::Svtvp(), v_WeakPenaltyO2(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by v_Diffuse().

501  {
502  int i, j;
503  int nTracePts = fields[0]->GetTrace()->GetTotPoints();
504  int nVariables = fields.num_elements();
505  int nDim = fields[0]->GetCoordim(0);
506 
507  Array<OneD, NekDouble > Vn (nTracePts, 0.0);
508 
509  Array<OneD, NekDouble > qFwd (nTracePts);
510  Array<OneD, NekDouble > qBwd (nTracePts);
511  Array<OneD, NekDouble > qfluxtemp(nTracePts, 0.0);
512 
513  // Get the normal velocity Vn
514  for(i = 0; i < nDim; ++i)
515  {
516  Vmath::Svtvp(nTracePts, 1.0, m_traceNormals[i], 1,
517  Vn, 1, Vn, 1);
518  }
519 
520  Array<OneD, NekDouble > qtemp(nTracePts);
521 
522  // Evaulate Riemann flux
523  // qflux = \hat{q} \cdot u = q \cdot n
524  // Notice: i = 1 (first row of the viscous tensor is zero)
525  for (i = 1; i < nVariables; ++i)
526  {
527  qflux[i] = Array<OneD, NekDouble> (nTracePts, 0.0);
528  for (j = 0; j < nDim; ++j)
529  {
530  // Compute qFwd and qBwd value of qfield in position 'ji'
531  fields[i]->GetFwdBwdTracePhys(qfield[j][i], qFwd, qBwd);
532 
533  // Get Riemann flux of qflux --> LDG implies upwind
534  fields[i]->GetTrace()->Upwind(Vn, qBwd, qFwd, qfluxtemp);
535 
536  // Multiply the Riemann flux by the trace normals
537  Vmath::Vmul(nTracePts, m_traceNormals[j], 1, qfluxtemp, 1,
538  qfluxtemp, 1);
539 
540  // Extract the physical values of the solution at the boundaries
541  fields[i]->ExtractTracePhys(qfield[j][i], qtemp);
542 
543  // Impose weak boundary condition with flux
544  if (fields[0]->GetBndCondExpansions().num_elements())
545  {
546  v_WeakPenaltyO2(fields, i, j, qfield[j][i], qtemp, qfluxtemp);
547  }
548 
549  // Store the final flux into qflux
550  Vmath::Vadd(nTracePts, qfluxtemp, 1, qflux[i], 1,
551  qflux[i], 1);
552  }
553  }
554  }
Nektar::SolverUtils::DiffusionLDGNS::m_traceNormals
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Definition: DiffusionLDGNS.h:59
Vmath::Svtvp
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:485
Nektar::SolverUtils::DiffusionLDGNS::v_WeakPenaltyO2
virtual void v_WeakPenaltyO2(const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const int var, const int dir, const Array< OneD, const NekDouble > &qfield, const Array< OneD, const NekDouble > &qtemp, Array< OneD, NekDouble > &penaltyflux)
Imposes appropriate bcs for the 2nd order derivatives.
Definition: DiffusionLDGNS.cpp:561
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:299
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:183
virtual void Nektar::SolverUtils::DiffusionLDGNS::v_SetHomoDerivs ( Array< OneD, Array< OneD, NekDouble > > &  deriv)
inlineprotectedvirtual

Reimplemented from Nektar::SolverUtils::Diffusion.

Definition at line 117 of file DiffusionLDGNS.h.

119  {
120  m_homoDerivs = deriv;
121  }
Nektar::SolverUtils::DiffusionLDGNS::m_homoDerivs
Array< OneD, Array< OneD, NekDouble > > m_homoDerivs
Definition: DiffusionLDGNS.h:72
void Nektar::SolverUtils::DiffusionLDGNS::v_WeakPenaltyO1 ( const Array< OneD, MultiRegions::ExpListSharedPtr > &  fields,
const Array< OneD, Array< OneD, NekDouble > > &  inarray,
const Array< OneD, Array< OneD, NekDouble > > &  uplus,
Array< OneD, Array< OneD, NekDouble > > &  penaltyfluxO1 
)
protectedvirtual

Imposes appropriate bcs for the 1st order derivatives.

Definition at line 293 of file DiffusionLDGNS.cpp.

References Nektar::SpatialDomains::eDirichlet, Nektar::SpatialDomains::eNeumann, m_gamma, m_gasConstant, m_Twall, Vmath::Smul(), Vmath::Vadd(), Vmath::Vcopy(), Vmath::Vdiv(), Vmath::Vmul(), Vmath::Vsub(), and Vmath::Zero().

Referenced by v_NumericalFluxO1().

298  {
299  int cnt;
300  int i, j, e;
301  int id1, id2;
302 
303  int nBndEdgePts, nBndEdges, nBndRegions;
304 
305  int nTracePts = fields[0]->GetTrace()->GetTotPoints();
306  int nScalars = inarray.num_elements();
307 
308  Array<OneD, NekDouble> tmp1(nTracePts, 0.0);
309  Array<OneD, NekDouble> tmp2(nTracePts, 0.0);
310  Array<OneD, NekDouble> Tw(nTracePts, m_Twall);
311 
312  Array< OneD, Array<OneD, NekDouble > > scalarVariables(nScalars);
313 
314  // Extract internal values of the scalar variables for Neumann bcs
315  for (i = 0; i < nScalars; ++i)
316  {
317  scalarVariables[i] = Array<OneD, NekDouble>(nTracePts, 0.0);
318  }
319 
320  // Compute boundary conditions for velocities
321  for (i = 0; i < nScalars-1; ++i)
322  {
323  // Note that cnt has to loop on nBndRegions and nBndEdges
324  // and has to be reset to zero per each equation
325  cnt = 0;
326  nBndRegions = fields[i+1]->
327  GetBndCondExpansions().num_elements();
328  for (j = 0; j < nBndRegions; ++j)
329  {
330  nBndEdges = fields[i+1]->
331  GetBndCondExpansions()[j]->GetExpSize();
332  for (e = 0; e < nBndEdges; ++e)
333  {
334  nBndEdgePts = fields[i+1]->
335  GetBndCondExpansions()[j]->GetExp(e)->GetTotPoints();
336 
337  id1 = fields[i+1]->
338  GetBndCondExpansions()[j]->GetPhys_Offset(e);
339 
340  id2 = fields[0]->GetTrace()->
341  GetPhys_Offset(fields[0]->GetTraceMap()->
342  GetBndCondTraceToGlobalTraceMap(cnt++));
343 
344  // Reinforcing bcs for velocity in case of Wall bcs
345  if (boost::iequals(fields[i]->GetBndConditions()[j]->
346  GetUserDefined(),"WallViscous") ||
347  boost::iequals(fields[i]->GetBndConditions()[j]->
348  GetUserDefined(),"WallAdiabatic"))
349  {
350  Vmath::Zero(nBndEdgePts,
351  &scalarVariables[i][id2], 1);
352 
353  }
354 
355  // Imposing velocity bcs if not Wall
356  else if (fields[i]->GetBndConditions()[j]->
357  GetBoundaryConditionType() ==
358  SpatialDomains::eDirichlet)
359  {
360  Vmath::Vdiv(nBndEdgePts,
361  &(fields[i+1]->GetBndCondExpansions()[j]->
362  UpdatePhys())[id1], 1,
363  &(fields[0]->GetBndCondExpansions()[j]->
364  UpdatePhys())[id1], 1,
365  &scalarVariables[i][id2], 1);
366  }
367 
368  // For Dirichlet boundary condition: uflux = u_bcs
369  if (fields[i]->GetBndConditions()[j]->
370  GetBoundaryConditionType() ==
371  SpatialDomains::eDirichlet)
372  {
373  Vmath::Vcopy(nBndEdgePts,
374  &scalarVariables[i][id2], 1,
375  &penaltyfluxO1[i][id2], 1);
376  }
377 
378  // For Neumann boundary condition: uflux = u_+
379  else if ((fields[i]->GetBndConditions()[j])->
380  GetBoundaryConditionType() ==
381  SpatialDomains::eNeumann)
382  {
383  Vmath::Vcopy(nBndEdgePts,
384  &uplus[i][id2], 1,
385  &penaltyfluxO1[i][id2], 1);
386  }
387 
388  // Building kinetic energy to be used for T bcs
389  Vmath::Vmul(nBndEdgePts,
390  &scalarVariables[i][id2], 1,
391  &scalarVariables[i][id2], 1,
392  &tmp1[id2], 1);
393 
394  Vmath::Smul(nBndEdgePts, 0.5,
395  &tmp1[id2], 1,
396  &tmp1[id2], 1);
397 
398  Vmath::Vadd(nBndEdgePts,
399  &tmp2[id2], 1,
400  &tmp1[id2], 1,
401  &tmp2[id2], 1);
402  }
403  }
404  }
405 
406  // Compute boundary conditions for temperature
407  cnt = 0;
408  nBndRegions = fields[nScalars]->
409  GetBndCondExpansions().num_elements();
410  for (j = 0; j < nBndRegions; ++j)
411  {
412  nBndEdges = fields[nScalars]->
413  GetBndCondExpansions()[j]->GetExpSize();
414  for (e = 0; e < nBndEdges; ++e)
415  {
416  nBndEdgePts = fields[nScalars]->
417  GetBndCondExpansions()[j]->GetExp(e)->GetTotPoints();
418 
419  id1 = fields[nScalars]->
420  GetBndCondExpansions()[j]->GetPhys_Offset(e);
421 
422  id2 = fields[0]->GetTrace()->
423  GetPhys_Offset(fields[0]->GetTraceMap()->
424  GetBndCondTraceToGlobalTraceMap(cnt++));
425 
426  // Imposing Temperature Twall at the wall
427  if (boost::iequals(fields[i]->GetBndConditions()[j]->
428  GetUserDefined(),"WallViscous"))
429  {
430  Vmath::Vcopy(nBndEdgePts,
431  &Tw[0], 1,
432  &scalarVariables[nScalars-1][id2], 1);
433  }
434  // Imposing Temperature through condition on the Energy
435  // for no wall boundaries (e.g. farfield)
436  else if (fields[i]->GetBndConditions()[j]->
437  GetBoundaryConditionType() ==
438  SpatialDomains::eDirichlet)
439  {
440  // Divide E by rho
441  Vmath::Vdiv(nBndEdgePts,
442  &(fields[nScalars]->
443  GetBndCondExpansions()[j]->
444  GetPhys())[id1], 1,
445  &(fields[0]->
446  GetBndCondExpansions()[j]->
447  GetPhys())[id1], 1,
448  &scalarVariables[nScalars-1][id2], 1);
449 
450  // Subtract kinetic energy to E/rho
451  Vmath::Vsub(nBndEdgePts,
452  &scalarVariables[nScalars-1][id2], 1,
453  &tmp2[id2], 1,
454  &scalarVariables[nScalars-1][id2], 1);
455 
456  // Multiply by constant factor (gamma-1)/R
457  Vmath::Smul(nBndEdgePts, (m_gamma - 1)/m_gasConstant,
458  &scalarVariables[nScalars-1][id2], 1,
459  &scalarVariables[nScalars-1][id2], 1);
460  }
461 
462  // For Dirichlet boundary condition: uflux = u_bcs
463  if (fields[nScalars]->GetBndConditions()[j]->
464  GetBoundaryConditionType() ==
465  SpatialDomains::eDirichlet &&
466  !boost::iequals(
467  fields[nScalars]->GetBndConditions()[j]
468  ->GetUserDefined(), "WallAdiabatic"))
469  {
470  Vmath::Vcopy(nBndEdgePts,
471  &scalarVariables[nScalars-1][id2], 1,
472  &penaltyfluxO1[nScalars-1][id2], 1);
473 
474  }
475 
476  // For Neumann boundary condition: uflux = u_+
477  else if (((fields[nScalars]->GetBndConditions()[j])->
478  GetBoundaryConditionType() ==
479  SpatialDomains::eNeumann) ||
480  boost::iequals(fields[nScalars]->GetBndConditions()[j]->
481  GetUserDefined(), "WallAdiabatic"))
482  {
483  Vmath::Vcopy(nBndEdgePts,
484  &uplus[nScalars-1][id2], 1,
485  &penaltyfluxO1[nScalars-1][id2], 1);
486 
487  }
488  }
489  }
490  }
Vmath::Vdiv
void Vdiv(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x/y.
Definition: Vmath.cpp:241
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:213
Vmath::Vsub
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:343
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:373
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:299
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:183
void Nektar::SolverUtils::DiffusionLDGNS::v_WeakPenaltyO2 ( const Array< OneD, MultiRegions::ExpListSharedPtr > &  fields,
const int  var,
const int  dir,
const Array< OneD, const NekDouble > &  qfield,
const Array< OneD, const NekDouble > &  qtemp,
Array< OneD, NekDouble > &  penaltyflux 
)
protectedvirtual

Imposes appropriate bcs for the 2nd order derivatives.

Definition at line 561 of file DiffusionLDGNS.cpp.

References ASSERTL0, Nektar::SpatialDomains::eDirichlet, Nektar::SpatialDomains::eNeumann, m_spaceDim, m_traceNormals, Vmath::Vmul(), and Vmath::Zero().

Referenced by v_NumericalFluxO2().

568  {
569  int cnt = 0;
570  int nBndEdges, nBndEdgePts;
571  int i, e;
572  int id2;
573 
574  int nBndRegions = fields[var]->GetBndCondExpansions().num_elements();
575 
576  // Loop on the boundary regions to apply appropriate bcs
577  for (i = 0; i < nBndRegions; ++i)
578  {
579  // Number of boundary regions related to region 'i'
580  nBndEdges = fields[var]->
581  GetBndCondExpansions()[i]->GetExpSize();
582 
583  // Weakly impose bcs by modifying flux values
584  for (e = 0; e < nBndEdges; ++e)
585  {
586  nBndEdgePts = fields[var]->
587  GetBndCondExpansions()[i]->GetExp(e)->GetTotPoints();
588 
589  id2 = fields[0]->GetTrace()->
590  GetPhys_Offset(fields[0]->GetTraceMap()->
591  GetBndCondTraceToGlobalTraceMap(cnt++));
592 
593  // In case of Dirichlet bcs:
594  // uflux = gD
595  if(fields[var]->GetBndConditions()[i]->
596  GetBoundaryConditionType() == SpatialDomains::eDirichlet
597  && !boost::iequals(fields[var]->GetBndConditions()[i]->
598  GetUserDefined(), "WallAdiabatic"))
599  {
600  Vmath::Vmul(nBndEdgePts,
601  &m_traceNormals[dir][id2], 1,
602  &qtemp[id2], 1,
603  &penaltyflux[id2], 1);
604  }
605  // 3.4) In case of Neumann bcs:
606  // uflux = u+
607  else if((fields[var]->GetBndConditions()[i])->
608  GetBoundaryConditionType() == SpatialDomains::eNeumann)
609  {
610  ASSERTL0(false,
611  "Neumann bcs not implemented for LDGNS");
612 
613  /*
614  Vmath::Vmul(nBndEdgePts,
615  &m_traceNormals[dir][id2], 1,
616  &(fields[var]->
617  GetBndCondExpansions()[i]->
618  UpdatePhys())[id1], 1,
619  &penaltyflux[id2], 1);
620  */
621  }
622  else if(boost::iequals(fields[var]->GetBndConditions()[i]->
623  GetUserDefined(), "WallAdiabatic"))
624  {
625  if ((var == m_spaceDim + 1))
626  {
627  Vmath::Zero(nBndEdgePts, &penaltyflux[id2], 1);
628  }
629  else
630  {
631 
632  Vmath::Vmul(nBndEdgePts,
633  &m_traceNormals[dir][id2], 1,
634  &qtemp[id2], 1,
635  &penaltyflux[id2], 1);
636 
637  }
638  }
639  }
640  }
641  }
Nektar::SolverUtils::DiffusionLDGNS::m_traceNormals
Array< OneD, Array< OneD, NekDouble > > m_traceNormals
Definition: DiffusionLDGNS.h:59
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:373
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:183

Member Data Documentation

int Nektar::SolverUtils::DiffusionLDGNS::m_diffDim
protected

Definition at line 75 of file DiffusionLDGNS.h.

Referenced by v_Diffuse(), and v_InitObject().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_gamma
protected

Definition at line 61 of file DiffusionLDGNS.h.

Referenced by v_InitObject(), and v_WeakPenaltyO1().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_gasConstant
protected

Definition at line 62 of file DiffusionLDGNS.h.

Referenced by v_InitObject(), and v_WeakPenaltyO1().

Array<OneD, Array<OneD, NekDouble> > Nektar::SolverUtils::DiffusionLDGNS::m_homoDerivs
protected

Definition at line 72 of file DiffusionLDGNS.h.

Referenced by v_Diffuse().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_mu
protected

Definition at line 65 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_pInf
protected

Definition at line 68 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_rhoInf
protected

Definition at line 67 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

LibUtilities::SessionReaderSharedPtr Nektar::SolverUtils::DiffusionLDGNS::m_session
protected

Definition at line 60 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

int Nektar::SolverUtils::DiffusionLDGNS::m_spaceDim
protected

Definition at line 74 of file DiffusionLDGNS.h.

Referenced by v_Diffuse(), v_InitObject(), v_NumericalFluxO1(), and v_WeakPenaltyO2().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_thermalConductivity
protected

Definition at line 66 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

Array<OneD, Array<OneD, NekDouble> > Nektar::SolverUtils::DiffusionLDGNS::m_traceNormals
protected

Definition at line 59 of file DiffusionLDGNS.h.

Referenced by v_InitObject(), v_NumericalFluxO1(), v_NumericalFluxO2(), and v_WeakPenaltyO2().

Array<OneD, Array<OneD, NekDouble> > Nektar::SolverUtils::DiffusionLDGNS::m_traceVel
protected

Definition at line 58 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

NekDouble Nektar::SolverUtils::DiffusionLDGNS::m_Twall
protected

Definition at line 63 of file DiffusionLDGNS.h.

Referenced by v_InitObject(), and v_WeakPenaltyO1().

std::string Nektar::SolverUtils::DiffusionLDGNS::m_ViscosityType
protected

Definition at line 64 of file DiffusionLDGNS.h.

Referenced by v_InitObject().

Array<OneD, Array<OneD, Array<OneD, NekDouble> > > Nektar::SolverUtils::DiffusionLDGNS::m_viscTensor
protected

Definition at line 70 of file DiffusionLDGNS.h.

Referenced by v_Diffuse(), and v_GetFluxTensor().

std::string Nektar::SolverUtils::DiffusionLDGNS::type
static
Initial value:
= GetDiffusionFactory().
RegisterCreatorFunction("LDGNS", DiffusionLDGNS::create)

Definition at line 53 of file DiffusionLDGNS.h.

Generated on Wed Mar 8 2017 12:30:01 for Nektar++ by   doxygen 1.8.8