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Nektar::LinearisedAdvection Class Reference

#include <LinearisedAdvection.h>

Inheritance diagram for Nektar::LinearisedAdvection:
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Collaboration diagram for Nektar::LinearisedAdvection:
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Static Public Member Functions

static
SolverUtils::AdvectionSharedPtr 		create (std::string)
 Creates an instance of this class.

Static Public Attributes

static std::string className
 Name of class.

Protected Member Functions

DNekBlkMatSharedPtr GetFloquetBlockMatrix (FloquetMatType mattype, bool UseContCoeffs=false) const
DNekBlkMatSharedPtr GenFloquetBlockMatrix (FloquetMatType mattype, bool UseContCoeffs=false) const
 LinearisedAdvection ()
virtual ~LinearisedAdvection ()
virtual void v_InitObject (LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
 Initialises the advection object.
virtual void v_Advect (const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &advVel, const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble &time)
 Advects a vector field.
virtual void v_SetBaseFlow (const Array< OneD, Array< OneD, NekDouble > > &inarray)
 Overrides the base flow used during linearised advection.
void UpdateBase (const NekDouble m_slices, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble m_time, const NekDouble m_period)
void DFT (const string file, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const NekDouble m_slices)
void ImportFldBase (std::string pInfile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, int slice)
 Import Base flow.

Protected Attributes

LibUtilities::SessionReaderSharedPtr m_session
MultiRegions::ProjectionType m_projectionType
int m_spacedim
int m_expdim
Array< OneD, Array< OneD,
NekDouble > > 		m_baseflow
 Storage for base flow.
int m_slices
NekDouble m_period
Array< OneD, Array< OneD,
NekDouble > > 		m_interp
LibUtilities::NektarFFTSharedPtr m_FFT
Array< OneD, NekDouble > m_tmpIN
Array< OneD, NekDouble > m_tmpOUT
bool m_useFFTW
bool m_SingleMode
 flag to determine if use single mode or not
bool m_HalfMode
 flag to determine if use half mode or not
bool m_MultipleModes
 flag to determine if use multiple mode or not
bool m_homogen_dealiasing
MultiRegions::CoeffState m_CoeffState
FloquetBlockMatrixMapShPtr m_FloquetBlockMat
- Protected Attributes inherited from Nektar::SolverUtils::Advection
AdvectionFluxVecCB m_fluxVector
 Callback function to the flux vector (set when advection is in conservative form).
RiemannSolverSharedPtr m_riemann
 Riemann solver for DG-type schemes.
int m_spaceDim
 Storage for space dimension. Used for homogeneous extension.

Private Types

enum  FloquetMatType { eForwardsCoeff, eForwardsPhys }
enum  HomogeneousType { eHomogeneous1D, eHomogeneous2D, eHomogeneous3D, eNotHomogeneous }
 Parameter for homogeneous expansions. More...
typedef map< FloquetMatType,
DNekBlkMatSharedPtr > 		FloquetBlockMatrixMap
 A map between matrix keys and their associated block matrices.
typedef boost::shared_ptr
< FloquetBlockMatrixMap > 		FloquetBlockMatrixMapShPtr
 A shared pointer to a BlockMatrixMap.

Private Attributes

bool m_useFFT
 flag to determine if use or not the FFT for transformations
enum HomogeneousType m_HomogeneousType
NekDouble m_LhomX
 physical length in X direction (if homogeneous)
NekDouble m_LhomY
 physical length in Y direction (if homogeneous)
NekDouble m_LhomZ
 physical length in Z direction (if homogeneous)
int m_npointsX
 number of points in X direction (if homogeneous)
int m_npointsY
 number of points in Y direction (if homogeneous)
int m_npointsZ
 number of points in Z direction (if homogeneous)
int m_HomoDirec
 number of homogenous directions
int m_NumMode
 Mode to use in case of single mode analysis.
SpatialDomains::BoundaryConditionsSharedPtr m_boundaryConditions

Friends

class MemoryManager< LinearisedAdvection >

Additional Inherited Members

- Public Member Functions inherited from Nektar::SolverUtils::Advection
SOLVER_UTILS_EXPORT void InitObject (LibUtilities::SessionReaderSharedPtr pSession, Array< OneD, MultiRegions::ExpListSharedPtr > pFields)
 Interface function to initialise the advection object.
SOLVER_UTILS_EXPORT void Advect (const int nConvectiveFields, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const Array< OneD, Array< OneD, NekDouble > > &advVel, const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble &time)
 Interface function to advect the vector field.
template<typename FuncPointerT , typename ObjectPointerT >
void SetFluxVector (FuncPointerT func, ObjectPointerT obj)
 Set the flux vector callback function.
void SetRiemannSolver (RiemannSolverSharedPtr riemann)
 Set a Riemann solver object for this advection object.
void SetFluxVector (AdvectionFluxVecCB fluxVector)
 Set the flux vector callback function.
void SetBaseFlow (const Array< OneD, Array< OneD, NekDouble > > &inarray)
 Set the base flow used for linearised advection objects.

Detailed Description

Definition at line 47 of file LinearisedAdvection.h.

Member Typedef Documentation

typedef map< FloquetMatType, DNekBlkMatSharedPtr> Nektar::LinearisedAdvection::FloquetBlockMatrixMap
private

A map between matrix keys and their associated block matrices.

Definition at line 57 of file LinearisedAdvection.h.

typedef boost::shared_ptr<FloquetBlockMatrixMap> Nektar::LinearisedAdvection::FloquetBlockMatrixMapShPtr
private

A shared pointer to a BlockMatrixMap.

Definition at line 59 of file LinearisedAdvection.h.

Member Enumeration Documentation

enum Nektar::LinearisedAdvection::FloquetMatType
private
Enumerator:
eForwardsCoeff 
eForwardsPhys 

Definition at line 49 of file LinearisedAdvection.h.

{
eForwardsCoeff,
eForwardsPhys
};
enum Nektar::LinearisedAdvection::HomogeneousType
private

Parameter for homogeneous expansions.

Enumerator:
eHomogeneous1D 
eHomogeneous2D 
eHomogeneous3D 
eNotHomogeneous 

Definition at line 149 of file LinearisedAdvection.h.

{
eHomogeneous1D,
eHomogeneous2D,
eHomogeneous3D,
eNotHomogeneous
};

Constructor & Destructor Documentation

Nektar::LinearisedAdvection::LinearisedAdvection ( )
protected

Constructor. Creates ...

Parameters
\param

Definition at line 64 of file LinearisedAdvection.cpp.

:
Advection()
{
}
Nektar::LinearisedAdvection::~LinearisedAdvection ( )
protectedvirtual

Definition at line 274 of file LinearisedAdvection.cpp.

{
}

Member Function Documentation

static SolverUtils::AdvectionSharedPtr Nektar::LinearisedAdvection::create ( std::string  )
inlinestatic

Creates an instance of this class.

Definition at line 65 of file LinearisedAdvection.h.

{
return MemoryManager<LinearisedAdvection>::AllocateSharedPtr();
}
void Nektar::LinearisedAdvection::DFT ( const string  file,
Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields,
const NekDouble  m_slices 
)
protected

Definition at line 758 of file LinearisedAdvection.cpp.

References Nektar::LibUtilities::NekFactory< tKey, tBase, >::CreateInstance(), eForwardsPhys, Nektar::eWrapper, GetFloquetBlockMatrix(), Nektar::LibUtilities::GetNektarFFTFactory(), ImportFldBase(), m_baseflow, m_FFT, m_interp, m_slices, m_tmpIN, m_tmpOUT, Vmath::Smul(), Vmath::Vcopy(), and Vmath::Zero().

Referenced by v_InitObject().

{
int npoints=m_baseflow[0].num_elements();
//Convected fields
int ConvectedFields=m_baseflow.num_elements()-1;
m_interp= Array<OneD, Array<OneD, NekDouble> > (ConvectedFields);
for(int i=0; i<ConvectedFields;++i)
{
m_interp[i]=Array<OneD,NekDouble>(npoints*m_slices);
}
//Import the slides into auxiliary vector
//The base flow should be stored in the form filename_i.bse
for (int i=0; i< m_slices; ++i)
{
char chkout[16] = "";
sprintf(chkout, "%d", i);
ImportFldBase(file+"_"+chkout+".bse",pFields,i);
}
// Discrete Fourier Transform of the fields
for(int k=0; k< ConvectedFields;++k)
{
#ifdef NEKTAR_USING_FFTW
//Discrete Fourier Transform using FFTW
Array<OneD, NekDouble> fft_in(npoints*m_slices);
Array<OneD, NekDouble> fft_out(npoints*m_slices);
Array<OneD, NekDouble> m_tmpIN(m_slices);
Array<OneD, NekDouble> m_tmpOUT(m_slices);
//Shuffle the data
for(int j= 0; j < m_slices; ++j)
{
Vmath::Vcopy(npoints,&m_interp[k][j*npoints],1,&(fft_in[j]),m_slices);
}
m_FFT = LibUtilities::GetNektarFFTFactory().CreateInstance("NekFFTW", m_slices);
//FFT Transform
for(int i=0; i<npoints; i++)
{
m_FFT->FFTFwdTrans(m_tmpIN =fft_in + i*m_slices, m_tmpOUT =fft_out + i*m_slices);
}
//Reshuffle data
for(int s = 0; s < m_slices; ++s)
{
Vmath::Vcopy(npoints,&fft_out[s],m_slices,&m_interp[k][s*npoints],1);
}
Vmath::Zero(fft_in.num_elements(),&fft_in[0],1);
Vmath::Zero(fft_out.num_elements(),&fft_out[0],1);
#else
//Discrete Fourier Transform using MVM
DNekBlkMatSharedPtr blkmat;
blkmat = GetFloquetBlockMatrix(eForwardsPhys);
int nrows = blkmat->GetRows();
int ncols = blkmat->GetColumns();
Array<OneD, NekDouble> sortedinarray(ncols);
Array<OneD, NekDouble> sortedoutarray(nrows);
//Shuffle the data
for(int j= 0; j < m_slices; ++j)
{
Vmath::Vcopy(npoints,&m_interp[k][j*npoints],1,&(sortedinarray[j]),m_slices);
}
// Create NekVectors from the given data arrays
NekVector<NekDouble> in (ncols,sortedinarray,eWrapper);
NekVector<NekDouble> out(nrows,sortedoutarray,eWrapper);
// Perform matrix-vector multiply.
out = (*blkmat)*in;
//Reshuffle data
for(int s = 0; s < m_slices; ++s)
{
Vmath::Vcopy(npoints,&sortedoutarray[s],m_slices,&m_interp[k][s*npoints],1);
}
for(int r=0; r<sortedinarray.num_elements();++r)
{
sortedinarray[0]=0;
sortedoutarray[0]=0;
}
#endif
//scaling of the Fourier coefficients
NekDouble j=-1;
for (int i = 2; i < m_slices; i += 2)
{
Vmath::Smul(2*npoints,j,&m_interp[k][i*npoints],1,&m_interp[k][i*npoints],1);
j=-j;
}
}
}
DNekBlkMatSharedPtr Nektar::LinearisedAdvection::GenFloquetBlockMatrix ( FloquetMatType  mattype,
bool  UseContCoeffs = false 
) const
protected
DNekBlkMatSharedPtr Nektar::LinearisedAdvection::GetFloquetBlockMatrix ( FloquetMatType  mattype,
bool  UseContCoeffs = false 
) const
protected

Definition at line 719 of file LinearisedAdvection.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eDIAGONAL, Nektar::LibUtilities::eFourier, Nektar::LibUtilities::eFourierEvenlySpaced, Nektar::StdRegions::eFwdTrans, Nektar::StdRegions::StdExpansion::GetStdMatrix(), m_baseflow, and m_slices.

Referenced by DFT().

{
DNekMatSharedPtr loc_mat;
DNekBlkMatSharedPtr BlkMatrix;
int n_exp = 0;
n_exp = m_baseflow[0].num_elements(); // will operatore on m_phys
Array<OneD,unsigned int> nrows(n_exp);
Array<OneD,unsigned int> ncols(n_exp);
nrows = Array<OneD, unsigned int>(n_exp,m_slices);
ncols = Array<OneD, unsigned int>(n_exp,m_slices);
MatrixStorage blkmatStorage = eDIAGONAL;
BlkMatrix = MemoryManager<DNekBlkMat>
::AllocateSharedPtr(nrows,ncols,blkmatStorage);
const LibUtilities::PointsKey Pkey(m_slices,LibUtilities::eFourierEvenlySpaced);
const LibUtilities::BasisKey BK(LibUtilities::eFourier,m_slices,Pkey);
StdRegions::StdSegExp StdSeg(BK);
StdRegions::StdMatrixKey matkey(StdRegions::eFwdTrans,
StdSeg.DetShapeType(),
StdSeg);
loc_mat = StdSeg.GetStdMatrix(matkey);
// set up array of block matrices.
for(int i = 0; i < n_exp; ++i)
{
BlkMatrix->SetBlock(i,i,loc_mat);
}
return BlkMatrix;
}
void Nektar::LinearisedAdvection::ImportFldBase ( std::string  pInfile,
Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields,
int  slice 
)
protected

Import Base flow.

Import field from infile and load into m_fields. This routine will also perform a BwdTrans to ensure data is in both the physical and coefficient storage.

Parameters
infileFilename to read.

Definition at line 586 of file LinearisedAdvection.cpp.

References ASSERTL0, m_baseflow, m_HalfMode, m_interp, m_MultipleModes, m_npointsZ, m_session, m_SingleMode, Vmath::Vcopy(), and Vmath::Zero().

Referenced by DFT(), and v_InitObject().

{
std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef;
std::vector<std::vector<NekDouble> > FieldData;
int nqtot = m_baseflow[0].num_elements();
int nvar = m_session->GetVariables().size();
int s;
Array<OneD, NekDouble> tmp_coeff(pFields[0]->GetNcoeffs(), 0.0);
//Get Homogeneous
LibUtilities::FieldIOSharedPtr fld =
MemoryManager<LibUtilities::FieldIO>::AllocateSharedPtr(
m_session->GetComm());
fld->Import(pInfile, FieldDef, FieldData);
if(m_session->DefinesSolverInfo("HOMOGENEOUS"))
{
std::string HomoStr = m_session->GetSolverInfo("HOMOGENEOUS");
}
// copy FieldData into m_fields
for(int j = 0; j < nvar; ++j)
{
for(int i = 0; i < FieldDef.size(); ++i)
{
if((m_session->DefinesSolverInfo("HOMOGENEOUS") &&
(m_session->GetSolverInfo("HOMOGENEOUS")=="HOMOGENEOUS1D" ||
m_session->GetSolverInfo("HOMOGENEOUS")=="1D" ||
m_session->GetSolverInfo("HOMOGENEOUS")=="Homo1D")) &&
m_MultipleModes==false)
{
// w-component must be ignored and set to zero.
if (j != nvar - 2)
{
// p component (it is 4th variable of the 3D and corresponds 3nd variable of 2D)
s = (j == nvar - 1) ? 2 : j;
//extraction of the 2D
pFields[j]->ExtractDataToCoeffs(
FieldDef[i],
FieldData[i],
FieldDef[i]->m_fields[s],
tmp_coeff);
}
//Put zero on higher modes
int ncplane = (pFields[0]->GetNcoeffs()) / m_npointsZ;
if (m_npointsZ > 2)
{
Vmath::Zero(ncplane*(m_npointsZ-2),
&tmp_coeff[2*ncplane], 1);
}
}
// 2D cases and Homogeneous1D Base Flows
else
{
bool flag = FieldDef[i]->m_fields[j] ==
m_session->GetVariable(j);
ASSERTL0(flag, (std::string("Order of ") + pInfile
+ std::string(" data and that defined in "
"m_boundaryconditions differs")).c_str());
pFields[j]->ExtractDataToCoeffs(FieldDef[i], FieldData[i],
FieldDef[i]->m_fields[j],
tmp_coeff);
}
}
if(m_SingleMode || m_HalfMode)
{
//pFields[j]->SetWaveSpace(true);
pFields[j]->GetPlane(0)->BwdTrans(tmp_coeff, m_baseflow[j]);
if(m_SingleMode)
{
//copy the bwd into the second plane for single Mode Analysis
int ncplane=(pFields[0]->GetNpoints())/m_npointsZ;
Vmath::Vcopy(ncplane,&m_baseflow[j][0],1,&m_baseflow[j][ncplane],1);
}
}
else
{
pFields[j]->BwdTrans(tmp_coeff, m_baseflow[j]);
}
}
if(m_session->DefinesParameter("N_slices"))
{
int nConvectiveFields = pFields.num_elements()-1;
for(int i=0; i<nConvectiveFields;++i)
{
Vmath::Vcopy(nqtot, &m_baseflow[i][0], 1, &m_interp[i][slice*nqtot], 1);
}
}
}
void Nektar::LinearisedAdvection::UpdateBase ( const NekDouble  m_slices,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const NekDouble  m_time,
const NekDouble  m_period 
)
protected

Definition at line 694 of file LinearisedAdvection.cpp.

References m_baseflow, m_period, m_slices, Vmath::Svtvp(), and Vmath::Vcopy().

Referenced by v_Advect().

{
int npoints=m_baseflow[0].num_elements();
NekDouble BetaT=2*M_PI*fmod (m_time, m_period) / m_period;
NekDouble phase;
Array<OneD, NekDouble> auxiliary(npoints);
Vmath::Vcopy(npoints,&inarray[0],1,&outarray[0],1);
Vmath::Svtvp(npoints, cos(0.5*m_slices*BetaT),&inarray[npoints],1,&outarray[0],1,&outarray[0],1);
for (int i = 2; i < m_slices; i += 2)
{
phase = (i>>1) * BetaT;
Vmath::Svtvp(npoints, cos(phase),&inarray[i*npoints],1,&outarray[0],1,&outarray[0],1);
Vmath::Svtvp(npoints, sin(phase), &inarray[(i+1)*npoints], 1, &outarray[0], 1,&outarray[0],1);
}
}
void Nektar::LinearisedAdvection::v_Advect ( const int  nConvectiveFields,
const Array< OneD, MultiRegions::ExpListSharedPtr > &  fields,
const Array< OneD, Array< OneD, NekDouble > > &  advVel,
const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray,
const NekDouble &  time 
)
protectedvirtual

Advects a vector field.

Implements Nektar::SolverUtils::Advection.

Definition at line 281 of file LinearisedAdvection.cpp.

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eFunctionTypeFile, m_baseflow, m_CoeffState, m_HalfMode, m_homogen_dealiasing, m_interp, m_period, m_session, m_SingleMode, m_slices, Vmath::Neg(), UpdateBase(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Vvtvp().

{
int nqtot = fields[0]->GetTotPoints();
ASSERTL1(nConvectiveFields == inarray.num_elements(),"Number of convective fields and Inarray are not compatible");
Array<OneD, NekDouble > Deriv = Array<OneD, NekDouble> (nqtot*nConvectiveFields);
for(int n = 0; n < nConvectiveFields; ++n)
{
int ndim = advVel.num_elements();
int nPointsTot = fields[0]->GetNpoints();
Array<OneD, NekDouble> grad0,grad1,grad2;
//Evaluation of the gradiend of each component of the base flow
//\nabla U
Array<OneD, NekDouble> grad_base_u0,grad_base_u1,grad_base_u2;
// \nabla V
Array<OneD, NekDouble> grad_base_v0,grad_base_v1,grad_base_v2;
// \nabla W
Array<OneD, NekDouble> grad_base_w0,grad_base_w1,grad_base_w2;
grad0 = Array<OneD, NekDouble> (nPointsTot);
grad_base_u0 = Array<OneD, NekDouble> (nPointsTot);
grad_base_v0 = Array<OneD, NekDouble> (nPointsTot);
grad_base_w0 = Array<OneD, NekDouble> (nPointsTot);
//Evaluation of the base flow for periodic cases
//(it requires fld files)
if(m_slices>1)
{
if (m_session->GetFunctionType("BaseFlow", 0)
== LibUtilities::eFunctionTypeFile)
{
for(int i=0; i<ndim;++i)
{
UpdateBase(m_slices,m_interp[i],m_baseflow[i],time,m_period);
}
}
else
{
ASSERTL0(false, "Periodic Base flow requires filename_ files");
}
}
//Evaluate the linearised advection term
switch(ndim)
{
// 1D
case 1:
fields[0]->PhysDeriv(inarray[n],grad0);
fields[0]->PhysDeriv(m_baseflow[0],grad_base_u0);
//Evaluate U du'/dx
Vmath::Vmul(nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U du'/dx+ u' dU/dx
Vmath::Vvtvp(nPointsTot,grad_base_u0,1,advVel[0],1,outarray[n],1,outarray[n],1);
break;
//2D
case 2:
grad1 = Array<OneD, NekDouble> (nPointsTot);
grad_base_u1 = Array<OneD, NekDouble> (nPointsTot);
grad_base_v1 = Array<OneD, NekDouble> (nPointsTot);
fields[0]->PhysDeriv(inarray[n],grad0,grad1);
//Derivates of the base flow
fields[0]-> PhysDeriv(m_baseflow[0], grad_base_u0, grad_base_u1);
fields[0]-> PhysDeriv(m_baseflow[1], grad_base_v0, grad_base_v1);
//Since the components of the velocity are passed one by
//one, it is necessary to distinguish which term is
//consider
switch (n)
{
//x-equation
case 0:
// Evaluate U du'/dx
Vmath::Vmul (nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U du'/dx+ V du'/dy
Vmath::Vvtvp(nPointsTot,grad1,1,m_baseflow[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy)+u' dU/dx
Vmath::Vvtvp(nPointsTot,grad_base_u0,1,advVel[0],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy +u' dU/dx)+v' dU/dy
Vmath::Vvtvp(nPointsTot,grad_base_u1,1,advVel[1],1,outarray[n],1,outarray[n],1);
break;
//y-equation
case 1:
// Evaluate U dv'/dx
Vmath::Vmul (nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U dv'/dx+ V dv'/dy
Vmath::Vvtvp(nPointsTot,grad1,1,m_baseflow[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U dv'/dx+ V dv'/dy)+u' dV/dx
Vmath::Vvtvp(nPointsTot,grad_base_v0,1,advVel[0],1,outarray[n],1,outarray[n],1);
//Evaluate (U dv'/dx+ V dv'/dy +u' dv/dx)+v' dV/dy
Vmath::Vvtvp(nPointsTot,grad_base_v1,1,advVel[1],1,outarray[n],1,outarray[n],1);
break;
}
break;
//3D
case 3:
grad1 = Array<OneD, NekDouble> (nPointsTot);
grad2 = Array<OneD, NekDouble> (nPointsTot);
grad_base_u1 = Array<OneD, NekDouble> (nPointsTot);
grad_base_v1 = Array<OneD, NekDouble> (nPointsTot);
grad_base_w1 = Array<OneD, NekDouble> (nPointsTot);
grad_base_u2 = Array<OneD, NekDouble> (nPointsTot);
grad_base_v2 = Array<OneD, NekDouble> (nPointsTot);
grad_base_w2 = Array<OneD, NekDouble> (nPointsTot);
fields[0]->PhysDeriv(m_baseflow[0], grad_base_u0, grad_base_u1,grad_base_u2);
fields[0]->PhysDeriv(m_baseflow[1], grad_base_v0, grad_base_v1,grad_base_v2);
fields[0]->PhysDeriv(m_baseflow[2], grad_base_w0, grad_base_w1, grad_base_w2);
//HalfMode has W(x,y,t)=0
if(m_HalfMode || m_SingleMode)
{
for(int i=0; i<grad_base_u2.num_elements();++i)
{
grad_base_u2[i]=0;
grad_base_v2[i]=0;
grad_base_w2[i]=0;
}
}
fields[0]->PhysDeriv(inarray[n], grad0, grad1, grad2);
switch (n)
{
//x-equation
case 0:
if(m_homogen_dealiasing)
{
//U du'/dx
fields[0]->DealiasedProd(m_baseflow[0],grad0,grad0,m_CoeffState);
//V du'/dy
fields[0]->DealiasedProd(m_baseflow[1],grad1,grad1,m_CoeffState);
//W du'/dx
fields[0]->DealiasedProd(m_baseflow[2],grad2,grad2,m_CoeffState);
// u' dU/dx
fields[0]->DealiasedProd(advVel[0],grad_base_u0,grad_base_u0,m_CoeffState);
// v' dU/dy
fields[0]->DealiasedProd(advVel[1],grad_base_u1,grad_base_u1,m_CoeffState);
// w' dU/dz
fields[0]->DealiasedProd(advVel[2],grad_base_u2,grad_base_u2,m_CoeffState);
Vmath::Vadd(nPointsTot,grad0,1,grad1,1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad2,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_u0,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_u1,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_u2,1,outarray[n],1,outarray[n],1);
}
else
{
//Evaluate U du'/dx
Vmath::Vmul (nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U du'/dx+ V du'/dy
Vmath::Vvtvp(nPointsTot,grad1,1,m_baseflow[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy)+u' dU/dx
Vmath::Vvtvp(nPointsTot,grad_base_u0,1,advVel[0],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy +u' dU/dx)+v' dU/dy
Vmath::Vvtvp(nPointsTot,grad_base_u1,1,advVel[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy +u' dU/dx +v' dU/dy) + W du'/dz
Vmath::Vvtvp(nPointsTot,grad2,1,m_baseflow[2],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy +u' dU/dx +v' dU/dy + W du'/dz)+ w' dU/dz
Vmath::Vvtvp(nPointsTot,grad_base_u2,1,advVel[2],1,outarray[n],1,outarray[n],1);
}
break;
//y-equation
case 1:
if(m_homogen_dealiasing)
{
//U dv'/dx
fields[0]->DealiasedProd(m_baseflow[0],grad0,grad0,m_CoeffState);
//V dv'/dy
fields[0]->DealiasedProd(m_baseflow[1],grad1,grad1,m_CoeffState);
//W dv'/dx
fields[0]->DealiasedProd(m_baseflow[2],grad2,grad2,m_CoeffState);
// u' dV/dx
fields[0]->DealiasedProd(advVel[0],grad_base_v0,grad_base_v0,m_CoeffState);
// v' dV/dy
fields[0]->DealiasedProd(advVel[1],grad_base_v1,grad_base_v1,m_CoeffState);
// w' dV/dz
fields[0]->DealiasedProd(advVel[2],grad_base_v2,grad_base_v2,m_CoeffState);
Vmath::Vadd(nPointsTot,grad0,1,grad1,1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad2,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_v0,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_v1,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_v2,1,outarray[n],1,outarray[n],1);
}
else
{
//Evaluate U dv'/dx
Vmath::Vmul (nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U dv'/dx+ V dv'/dy
Vmath::Vvtvp(nPointsTot,grad1,1,m_baseflow[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U dv'/dx+ V dv'/dy)+u' dV/dx
Vmath::Vvtvp(nPointsTot,grad_base_v0,1,advVel[0],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V du'/dy +u' dV/dx)+v' dV/dy
Vmath::Vvtvp(nPointsTot,grad_base_v1,1,advVel[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V dv'/dy +u' dV/dx +v' dV/dy) + W du'/dz
Vmath::Vvtvp(nPointsTot,grad2,1,m_baseflow[2],1,outarray[n],1,outarray[n],1);
//Evaluate (U du'/dx+ V dv'/dy +u' dV/dx +v' dV/dy + W dv'/dz)+ w' dV/dz
Vmath::Vvtvp(nPointsTot,grad_base_v2,1,advVel[2],1,outarray[n],1,outarray[n],1);
}
break;
//z-equation
case 2:
if(m_homogen_dealiasing)
{
//U dw'/dx
fields[0]->DealiasedProd(m_baseflow[0],grad0,grad0,m_CoeffState);
//V dw'/dy
fields[0]->DealiasedProd(m_baseflow[1],grad1,grad1,m_CoeffState);
//W dw'/dx
fields[0]->DealiasedProd(m_baseflow[2],grad2,grad2,m_CoeffState);
// u' dW/dx
fields[0]->DealiasedProd(advVel[0],grad_base_w0,grad_base_w0,m_CoeffState);
// v' dW/dy
fields[0]->DealiasedProd(advVel[1],grad_base_w1,grad_base_w1,m_CoeffState);
// w' dW/dz
fields[0]->DealiasedProd(advVel[2],grad_base_w2,grad_base_w2,m_CoeffState);
Vmath::Vadd(nPointsTot,grad0,1,grad1,1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad2,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_w0,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_w1,1,outarray[n],1,outarray[n],1);
Vmath::Vadd(nPointsTot,grad_base_w2,1,outarray[n],1,outarray[n],1);
}
else
{
//Evaluate U dw'/dx
Vmath::Vmul (nPointsTot,grad0,1,m_baseflow[0],1,outarray[n],1);
//Evaluate U dw'/dx+ V dw'/dx
Vmath::Vvtvp(nPointsTot,grad1,1,m_baseflow[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U dw'/dx+ V dw'/dx)+u' dW/dx
Vmath::Vvtvp(nPointsTot,grad_base_w0,1,advVel[0],1,outarray[n],1,outarray[n],1);
//Evaluate (U dw'/dx+ V dw'/dx +w' dW/dx)+v' dW/dy
Vmath::Vvtvp(nPointsTot,grad_base_w1,1,advVel[1],1,outarray[n],1,outarray[n],1);
//Evaluate (U dw'/dx+ V dw'/dx +u' dW/dx +v' dW/dy) + W dw'/dz
Vmath::Vvtvp(nPointsTot,grad2,1,m_baseflow[2],1,outarray[n],1,outarray[n],1);
//Evaluate (U dw'/dx+ V dw'/dx +u' dW/dx +v' dW/dy + W dw'/dz)+ w' dW/dz
Vmath::Vvtvp(nPointsTot,grad_base_w2,1,advVel[2],1,outarray[n],1,outarray[n],1);
}
break;
}
break;
default:
ASSERTL0(false,"dimension unknown");
}
Vmath::Neg(nqtot,outarray[n],1);
}
}
void Nektar::LinearisedAdvection::v_InitObject ( LibUtilities::SessionReaderSharedPtr  pSession,
Array< OneD, MultiRegions::ExpListSharedPtr >  pFields 
)
protectedvirtual

Initialises the advection object.

This function should be overridden in derived classes to initialise the specific advection data members. However, this base class function should be called as the first statement of the overridden function to ensure the base class is correctly initialised in order.

Parameters
pSessionSession information.
pFieldsExpansion lists for scalar fields.

Reimplemented from Nektar::SolverUtils::Advection.

Definition at line 70 of file LinearisedAdvection.cpp.

References ASSERTL0, DFT(), Nektar::MultiRegions::eDiscontinuous, Nektar::LibUtilities::eFunctionTypeFile, Nektar::MultiRegions::eGalerkin, eHomogeneous1D, eHomogeneous2D, eHomogeneous3D, Nektar::MultiRegions::eLocal, eNotHomogeneous, ImportFldBase(), m_baseflow, m_boundaryConditions, m_CoeffState, m_expdim, m_HalfMode, m_HomoDirec, m_homogen_dealiasing, m_HomogeneousType, m_LhomX, m_LhomY, m_LhomZ, m_MultipleModes, m_npointsX, m_npointsY, m_npointsZ, m_period, m_projectionType, m_session, m_SingleMode, m_slices, m_spacedim, and m_useFFT.

{
Advection::v_InitObject(pSession, pFields);
m_session = pSession;
m_boundaryConditions = MemoryManager<SpatialDomains::BoundaryConditions>
::AllocateSharedPtr(m_session, pFields[0]->GetGraph());
m_spacedim = pFields[0]->GetGraph()->GetSpaceDimension();
m_expdim = pFields[0]->GetGraph()->GetMeshDimension();
m_CoeffState = MultiRegions::eLocal;
//Setting parameters for homogeneous problems
m_HomoDirec = 0;
m_useFFT = false;
m_HomogeneousType = eNotHomogeneous;
m_SingleMode = false;
m_HalfMode = false;
m_MultipleModes = false;
m_homogen_dealiasing = false;
if(m_session->DefinesSolverInfo("HOMOGENEOUS"))
{
std::string HomoStr = m_session->GetSolverInfo("HOMOGENEOUS");
m_spacedim = 3;
if((HomoStr == "HOMOGENEOUS1D")||(HomoStr == "Homogeneous1D")||
(HomoStr == "1D")||(HomoStr == "Homo1D"))
{
m_HomogeneousType = eHomogeneous1D;
m_LhomZ = m_session->GetParameter("LZ");
m_HomoDirec = 1;
m_homogen_dealiasing = pSession->DefinesSolverInfo("DEALIASING");
if(m_session->DefinesSolverInfo("ModeType"))
{
m_session->MatchSolverInfo("ModeType","SingleMode",m_SingleMode,false);
m_session->MatchSolverInfo("ModeType","HalfMode",m_HalfMode,false);
m_session->MatchSolverInfo("ModeType","MultipleModes",m_MultipleModes,false);
}
if(m_session->DefinesSolverInfo("ModeType"))
{
if(m_SingleMode)
{
m_npointsZ=2;
}
else if(m_HalfMode)
{
m_npointsZ=1;
}
else if(m_MultipleModes)
{
m_npointsZ = m_session->GetParameter("HomModesZ");
}
else
{
ASSERTL0(false, "SolverInfo ModeType not valid");
}
}
else
{
m_session->LoadParameter("HomModesZ",m_npointsZ);
}
}
if((HomoStr == "HOMOGENEOUS2D")||(HomoStr == "Homogeneous2D")||
(HomoStr == "2D")||(HomoStr == "Homo2D"))
{
m_HomogeneousType = eHomogeneous2D;
m_session->LoadParameter("HomModesY", m_npointsY);
m_session->LoadParameter("LY", m_LhomY);
m_session->LoadParameter("HomModesZ", m_npointsZ);
m_session->LoadParameter("LZ", m_LhomZ);
m_HomoDirec = 2;
}
if((HomoStr == "HOMOGENEOUS3D")||(HomoStr == "Homogeneous3D")||
(HomoStr == "3D")||(HomoStr == "Homo3D"))
{
m_HomogeneousType = eHomogeneous3D;
m_session->LoadParameter("HomModesX",m_npointsX);
m_session->LoadParameter("LX", m_LhomX );
m_session->LoadParameter("HomModesY",m_npointsY);
m_session->LoadParameter("LY", m_LhomY );
m_session->LoadParameter("HomModesZ",m_npointsZ);
m_session->LoadParameter("LZ", m_LhomZ );
m_HomoDirec = 3;
}
if(m_session->DefinesSolverInfo("USEFFT"))
{
m_useFFT = true;
}
}
else
{
m_npointsZ = 1; // set to default value so can use to identify 2d or 3D (homogeneous) expansions
}
if(m_session->DefinesSolverInfo("PROJECTION"))
{
std::string ProjectStr
= m_session->GetSolverInfo("PROJECTION");
if((ProjectStr == "Continuous")||(ProjectStr == "Galerkin")||
(ProjectStr == "CONTINUOUS")||(ProjectStr == "GALERKIN"))
{
m_projectionType = MultiRegions::eGalerkin;
}
else if(ProjectStr == "DisContinuous")
{
m_projectionType = MultiRegions::eDiscontinuous;
}
else
{
ASSERTL0(false,"PROJECTION value not recognised");
}
}
else
{
cerr << "Projection type not specified in SOLVERINFO,"
"defaulting to continuous Galerkin" << endl;
m_projectionType = MultiRegions::eGalerkin;
}
int nvar = m_session->GetVariables().size();
m_baseflow = Array<OneD, Array<OneD, NekDouble> >(nvar);
for (int i = 0; i < nvar; ++i)
{
m_baseflow[i] = Array<OneD, NekDouble>(pFields[i]->GetTotPoints(), 0.0);
}
ASSERTL0(m_session->DefinesFunction("BaseFlow"),
"Base flow must be defined for linearised forms.");
string file = m_session->GetFunctionFilename("BaseFlow", 0);
//Periodic base flows
if(m_session->DefinesParameter("N_slices"))
{
m_session->LoadParameter("N_slices",m_slices);
if(m_slices>1)
{
DFT(file,pFields,m_slices);
}
else
{
ASSERTL0(false,"Number of slices must be a positive number greater than 1");
}
}
//Steady base-flow
else
{
m_slices=1;
//BaseFlow from file
if (m_session->GetFunctionType("BaseFlow", m_session->GetVariable(0))
== LibUtilities::eFunctionTypeFile)
{
ImportFldBase(file,pFields,1);
}
//analytic base flow
else
{
int nq = pFields[0]->GetNpoints();
Array<OneD,NekDouble> x0(nq);
Array<OneD,NekDouble> x1(nq);
Array<OneD,NekDouble> x2(nq);
// get the coordinates (assuming all fields have the same
// discretisation)
pFields[0]->GetCoords(x0,x1,x2);
for(unsigned int i = 0 ; i < pFields.num_elements(); i++)
{
LibUtilities::EquationSharedPtr ifunc
= m_session->GetFunction("BaseFlow", i);
ifunc->Evaluate(x0,x1,x2,m_baseflow[i]);
}
}
}
if(m_session->DefinesParameter("period"))
{
m_period=m_session->GetParameter("period");
}
else
{
m_period=(m_session->GetParameter("TimeStep")*m_slices)/(m_slices-1.);
}
}
void Nektar::LinearisedAdvection::v_SetBaseFlow ( const Array< OneD, Array< OneD, NekDouble > > &  inarray)
protectedvirtual

Overrides the base flow used during linearised advection.

Reimplemented from Nektar::SolverUtils::Advection.

Definition at line 552 of file LinearisedAdvection.cpp.

References ASSERTL1, m_baseflow, m_session, npts, and Vmath::Vcopy().

{
if (m_session->GetSolverInfo("EqType") == "UnsteadyNavierStokes")
{
// The SFD method is only applied to the velocity variables in
// incompressible
ASSERTL1(inarray.num_elements() == (m_baseflow.num_elements() - 1),
"Number of base flow variables does not match what is "
"expected.");
}
else
{
ASSERTL1(inarray.num_elements() == (m_baseflow.num_elements()),
"Number of base flow variables does not match what is expected.");
}
int npts = inarray[0].num_elements();
for (int i = 0; i < inarray.num_elements(); ++i)
{
ASSERTL1(npts == m_baseflow[i].num_elements(),
"Size of base flow array does not match expected.");
Vmath::Vcopy(npts, inarray[i], 1, m_baseflow[i], 1);
}
}

Friends And Related Function Documentation

friend class MemoryManager< LinearisedAdvection >
friend

Definition at line 62 of file LinearisedAdvection.h.

Member Data Documentation

string Nektar::LinearisedAdvection::className
static
Initial value:
SolverUtils::GetAdvectionFactory().RegisterCreatorFunction(
"Linearised",
LinearisedAdvection::create)

Name of class.

Definition at line 69 of file LinearisedAdvection.h.

Array<OneD, Array<OneD, NekDouble> > Nektar::LinearisedAdvection::m_baseflow
protected

Storage for base flow.

Definition at line 79 of file LinearisedAdvection.h.

Referenced by DFT(), GetFloquetBlockMatrix(), ImportFldBase(), UpdateBase(), v_Advect(), v_InitObject(), and v_SetBaseFlow().

SpatialDomains::BoundaryConditionsSharedPtr Nektar::LinearisedAdvection::m_boundaryConditions
private

Definition at line 174 of file LinearisedAdvection.h.

Referenced by v_InitObject().

MultiRegions::CoeffState Nektar::LinearisedAdvection::m_CoeffState
protected

Definition at line 99 of file LinearisedAdvection.h.

Referenced by v_Advect(), and v_InitObject().

int Nektar::LinearisedAdvection::m_expdim
protected

Definition at line 76 of file LinearisedAdvection.h.

Referenced by v_InitObject().

LibUtilities::NektarFFTSharedPtr Nektar::LinearisedAdvection::m_FFT
protected

Definition at line 88 of file LinearisedAdvection.h.

Referenced by DFT().

FloquetBlockMatrixMapShPtr Nektar::LinearisedAdvection::m_FloquetBlockMat
protected

Definition at line 107 of file LinearisedAdvection.h.

bool Nektar::LinearisedAdvection::m_HalfMode
protected

flag to determine if use half mode or not

Definition at line 95 of file LinearisedAdvection.h.

Referenced by ImportFldBase(), v_Advect(), and v_InitObject().

int Nektar::LinearisedAdvection::m_HomoDirec
private

number of homogenous directions

Definition at line 170 of file LinearisedAdvection.h.

Referenced by v_InitObject().

bool Nektar::LinearisedAdvection::m_homogen_dealiasing
protected

Definition at line 98 of file LinearisedAdvection.h.

Referenced by v_Advect(), and v_InitObject().

enum HomogeneousType Nektar::LinearisedAdvection::m_HomogeneousType
private

Definition at line 160 of file LinearisedAdvection.h.

Referenced by v_InitObject().

Array<OneD, Array<OneD, NekDouble> > Nektar::LinearisedAdvection::m_interp
protected

Definition at line 86 of file LinearisedAdvection.h.

Referenced by DFT(), ImportFldBase(), and v_Advect().

NekDouble Nektar::LinearisedAdvection::m_LhomX
private

physical length in X direction (if homogeneous)

Definition at line 162 of file LinearisedAdvection.h.

Referenced by v_InitObject().

NekDouble Nektar::LinearisedAdvection::m_LhomY
private

physical length in Y direction (if homogeneous)

Definition at line 163 of file LinearisedAdvection.h.

Referenced by v_InitObject().

NekDouble Nektar::LinearisedAdvection::m_LhomZ
private

physical length in Z direction (if homogeneous)

Definition at line 164 of file LinearisedAdvection.h.

Referenced by v_InitObject().

bool Nektar::LinearisedAdvection::m_MultipleModes
protected

flag to determine if use multiple mode or not

Definition at line 97 of file LinearisedAdvection.h.

Referenced by ImportFldBase(), and v_InitObject().

int Nektar::LinearisedAdvection::m_npointsX
private

number of points in X direction (if homogeneous)

Definition at line 166 of file LinearisedAdvection.h.

Referenced by v_InitObject().

int Nektar::LinearisedAdvection::m_npointsY
private

number of points in Y direction (if homogeneous)

Definition at line 167 of file LinearisedAdvection.h.

Referenced by v_InitObject().

int Nektar::LinearisedAdvection::m_npointsZ
private

number of points in Z direction (if homogeneous)

Definition at line 168 of file LinearisedAdvection.h.

Referenced by ImportFldBase(), and v_InitObject().

int Nektar::LinearisedAdvection::m_NumMode
private

Mode to use in case of single mode analysis.

Definition at line 172 of file LinearisedAdvection.h.

NekDouble Nektar::LinearisedAdvection::m_period
protected

Definition at line 84 of file LinearisedAdvection.h.

Referenced by UpdateBase(), v_Advect(), and v_InitObject().

MultiRegions::ProjectionType Nektar::LinearisedAdvection::m_projectionType
protected

Definition at line 74 of file LinearisedAdvection.h.

Referenced by v_InitObject().

LibUtilities::SessionReaderSharedPtr Nektar::LinearisedAdvection::m_session
protected

Definition at line 72 of file LinearisedAdvection.h.

Referenced by ImportFldBase(), v_Advect(), v_InitObject(), and v_SetBaseFlow().

bool Nektar::LinearisedAdvection::m_SingleMode
protected

flag to determine if use single mode or not

Definition at line 93 of file LinearisedAdvection.h.

Referenced by ImportFldBase(), v_Advect(), and v_InitObject().

int Nektar::LinearisedAdvection::m_slices
protected

Definition at line 82 of file LinearisedAdvection.h.

Referenced by DFT(), GetFloquetBlockMatrix(), UpdateBase(), v_Advect(), and v_InitObject().

int Nektar::LinearisedAdvection::m_spacedim
protected

Definition at line 75 of file LinearisedAdvection.h.

Referenced by v_InitObject().

Array<OneD,NekDouble> Nektar::LinearisedAdvection::m_tmpIN
protected

Definition at line 89 of file LinearisedAdvection.h.

Referenced by DFT().

Array<OneD,NekDouble> Nektar::LinearisedAdvection::m_tmpOUT
protected

Definition at line 90 of file LinearisedAdvection.h.

Referenced by DFT().

bool Nektar::LinearisedAdvection::m_useFFT
private

flag to determine if use or not the FFT for transformations

Definition at line 158 of file LinearisedAdvection.h.

Referenced by v_InitObject().

bool Nektar::LinearisedAdvection::m_useFFTW
protected

Definition at line 91 of file LinearisedAdvection.h.

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