Nektar++
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#include <EigenValuesAdvection.h>
Public Member Functions | |
virtual | ~EigenValuesAdvection () |
Public Member Functions inherited from Nektar::SolverUtils::EquationSystem | |
virtual SOLVER_UTILS_EXPORT | ~EquationSystem () |
Destructor. More... | |
SOLVER_UTILS_EXPORT void | SetUpTraceNormals (void) |
SOLVER_UTILS_EXPORT void | InitObject () |
Initialises the members of this object. More... | |
SOLVER_UTILS_EXPORT void | DoInitialise () |
Perform any initialisation necessary before solving the problem. More... | |
SOLVER_UTILS_EXPORT void | DoSolve () |
Solve the problem. More... | |
SOLVER_UTILS_EXPORT void | TransCoeffToPhys () |
Transform from coefficient to physical space. More... | |
SOLVER_UTILS_EXPORT void | TransPhysToCoeff () |
Transform from physical to coefficient space. More... | |
SOLVER_UTILS_EXPORT void | Output () |
Perform output operations after solve. More... | |
SOLVER_UTILS_EXPORT NekDouble | LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray) |
Linf error computation. More... | |
SOLVER_UTILS_EXPORT std::string | GetSessionName () |
Get Session name. More... | |
template<class T > | |
boost::shared_ptr< T > | as () |
SOLVER_UTILS_EXPORT void | ResetSessionName (std::string newname) |
Reset Session name. More... | |
SOLVER_UTILS_EXPORT LibUtilities::SessionReaderSharedPtr | GetSession () |
Get Session name. More... | |
SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr | GetPressure () |
Get pressure field if available. More... | |
SOLVER_UTILS_EXPORT void | PrintSummary (std::ostream &out) |
Print a summary of parameters and solver characteristics. More... | |
SOLVER_UTILS_EXPORT void | SetLambda (NekDouble lambda) |
Set parameter m_lambda. More... | |
SOLVER_UTILS_EXPORT void | EvaluateFunction (Array< OneD, Array< OneD, NekDouble > > &pArray, std::string pFunctionName, const NekDouble pTime=0.0, const int domain=0) |
Evaluates a function as specified in the session file. More... | |
SOLVER_UTILS_EXPORT void | EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, Array< OneD, NekDouble > > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0) |
Populate given fields with the function from session. More... | |
SOLVER_UTILS_EXPORT void | EvaluateFunction (std::vector< std::string > pFieldNames, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const std::string &pName, const NekDouble &pTime=0.0, const int domain=0) |
Populate given fields with the function from session. More... | |
SOLVER_UTILS_EXPORT void | EvaluateFunction (std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, const NekDouble &pTime=0.0, const int domain=0) |
SOLVER_UTILS_EXPORT std::string | DescribeFunction (std::string pFieldName, const std::string &pFunctionName, const int domain) |
Provide a description of a function for a given field name. More... | |
SOLVER_UTILS_EXPORT void | InitialiseBaseFlow (Array< OneD, Array< OneD, NekDouble > > &base) |
Perform initialisation of the base flow. More... | |
SOLVER_UTILS_EXPORT void | SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0) |
Initialise the data in the dependent fields. More... | |
SOLVER_UTILS_EXPORT void | EvaluateExactSolution (int field, Array< OneD, NekDouble > &outfield, const NekDouble time) |
Evaluates an exact solution. More... | |
SOLVER_UTILS_EXPORT NekDouble | L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln, bool Normalised=false) |
Compute the L2 error between fields and a given exact solution. More... | |
SOLVER_UTILS_EXPORT NekDouble | L2Error (unsigned int field, bool Normalised=false) |
Compute the L2 error of the fields. More... | |
SOLVER_UTILS_EXPORT Array < OneD, NekDouble > | ErrorExtraPoints (unsigned int field) |
Compute error (L2 and L_inf) over an larger set of quadrature points return [L2 Linf]. More... | |
SOLVER_UTILS_EXPORT void | WeakAdvectionGreensDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray) |
Compute the inner product . More... | |
SOLVER_UTILS_EXPORT void | WeakAdvectionDivergenceForm (const Array< OneD, Array< OneD, NekDouble > > &F, Array< OneD, NekDouble > &outarray) |
Compute the inner product . More... | |
SOLVER_UTILS_EXPORT void | WeakAdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, bool UseContCoeffs=false) |
Compute the inner product . More... | |
f SOLVER_UTILS_EXPORT void | AdvectionNonConservativeForm (const Array< OneD, Array< OneD, NekDouble > > &V, const Array< OneD, const NekDouble > &u, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wk=NullNekDouble1DArray) |
Compute the non-conservative advection. More... | |
SOLVER_UTILS_EXPORT void | WeakDGAdvection (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false, int nvariables=0) |
Calculate the weak discontinuous Galerkin advection. More... | |
SOLVER_UTILS_EXPORT void | WeakDGDiffusion (const Array< OneD, Array< OneD, NekDouble > > &InField, Array< OneD, Array< OneD, NekDouble > > &OutField, bool NumericalFluxIncludesNormal=true, bool InFieldIsInPhysSpace=false) |
Calculate weak DG Diffusion in the LDG form. More... | |
SOLVER_UTILS_EXPORT void | Checkpoint_Output (const int n) |
Write checkpoint file of m_fields. More... | |
SOLVER_UTILS_EXPORT void | Checkpoint_Output (const int n, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables) |
Write checkpoint file of custom data fields. More... | |
SOLVER_UTILS_EXPORT void | Checkpoint_BaseFlow (const int n) |
Write base flow file of m_fields. More... | |
SOLVER_UTILS_EXPORT void | WriteFld (const std::string &outname) |
Write field data to the given filename. More... | |
SOLVER_UTILS_EXPORT void | WriteFld (const std::string &outname, MultiRegions::ExpListSharedPtr &field, std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables) |
Write input fields to the given filename. More... | |
SOLVER_UTILS_EXPORT void | ImportFld (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields) |
Input field data from the given file. More... | |
SOLVER_UTILS_EXPORT void | ImportFldToMultiDomains (const std::string &infile, Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const int ndomains) |
Input field data from the given file to multiple domains. More... | |
SOLVER_UTILS_EXPORT void | ImportFld (const std::string &infile, std::vector< std::string > &fieldStr, Array< OneD, Array< OneD, NekDouble > > &coeffs) |
Output a field. Input field data into array from the given file. More... | |
SOLVER_UTILS_EXPORT void | ImportFld (const std::string &infile, MultiRegions::ExpListSharedPtr &pField, std::string &pFieldName) |
Output a field. Input field data into ExpList from the given file. More... | |
SOLVER_UTILS_EXPORT void | ScanForHistoryPoints () |
Builds map of which element holds each history point. More... | |
SOLVER_UTILS_EXPORT void | WriteHistoryData (std::ostream &out) |
Probe each history point and write to file. More... | |
SOLVER_UTILS_EXPORT void | SessionSummary (SummaryList &vSummary) |
Write out a session summary. More... | |
SOLVER_UTILS_EXPORT Array < OneD, MultiRegions::ExpListSharedPtr > & | UpdateFields () |
SOLVER_UTILS_EXPORT LibUtilities::FieldMetaDataMap & | UpdateFieldMetaDataMap () |
Get hold of FieldInfoMap so it can be updated. More... | |
SOLVER_UTILS_EXPORT NekDouble | GetFinalTime () |
Return final time. More... | |
SOLVER_UTILS_EXPORT int | GetNcoeffs () |
SOLVER_UTILS_EXPORT int | GetNcoeffs (const int eid) |
SOLVER_UTILS_EXPORT int | GetNumExpModes () |
SOLVER_UTILS_EXPORT const Array< OneD, int > | GetNumExpModesPerExp () |
SOLVER_UTILS_EXPORT int | GetNvariables () |
SOLVER_UTILS_EXPORT const std::string | GetVariable (unsigned int i) |
SOLVER_UTILS_EXPORT int | GetTraceTotPoints () |
SOLVER_UTILS_EXPORT int | GetTraceNpoints () |
SOLVER_UTILS_EXPORT int | GetExpSize () |
SOLVER_UTILS_EXPORT int | GetPhys_Offset (int n) |
SOLVER_UTILS_EXPORT int | GetCoeff_Offset (int n) |
SOLVER_UTILS_EXPORT int | GetTotPoints () |
SOLVER_UTILS_EXPORT int | GetTotPoints (int n) |
SOLVER_UTILS_EXPORT int | GetNpoints () |
SOLVER_UTILS_EXPORT int | GetNumElmVelocity () |
SOLVER_UTILS_EXPORT int | GetSteps () |
SOLVER_UTILS_EXPORT NekDouble | GetTimeStep () |
SOLVER_UTILS_EXPORT void | CopyFromPhysField (const int i, Array< OneD, NekDouble > &output) |
SOLVER_UTILS_EXPORT void | CopyToPhysField (const int i, Array< OneD, NekDouble > &output) |
SOLVER_UTILS_EXPORT void | SetSteps (const int steps) |
SOLVER_UTILS_EXPORT void | ZeroPhysFields () |
SOLVER_UTILS_EXPORT void | FwdTransFields () |
SOLVER_UTILS_EXPORT void | GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux) |
SOLVER_UTILS_EXPORT void | GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &fluxX, Array< OneD, Array< OneD, NekDouble > > &fluxY) |
SOLVER_UTILS_EXPORT void | GetFluxVector (const int i, const int j, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux) |
SOLVER_UTILS_EXPORT void | NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux) |
SOLVER_UTILS_EXPORT void | NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numfluxX, Array< OneD, Array< OneD, NekDouble > > &numfluxY) |
SOLVER_UTILS_EXPORT void | NumFluxforScalar (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &uflux) |
SOLVER_UTILS_EXPORT void | NumFluxforVector (const Array< OneD, Array< OneD, NekDouble > > &ufield, Array< OneD, Array< OneD, Array< OneD, NekDouble > > > &qfield, Array< OneD, Array< OneD, NekDouble > > &qflux) |
SOLVER_UTILS_EXPORT void | SetModifiedBasis (const bool modbasis) |
SOLVER_UTILS_EXPORT int | NoCaseStringCompare (const std::string &s1, const std::string &s2) |
Perform a case-insensitive string comparison. More... | |
SOLVER_UTILS_EXPORT int | GetCheckpointNumber () |
SOLVER_UTILS_EXPORT void | SetCheckpointNumber (int num) |
SOLVER_UTILS_EXPORT int | GetCheckpointSteps () |
SOLVER_UTILS_EXPORT void | SetCheckpointSteps (int num) |
SOLVER_UTILS_EXPORT void | SetTime (const NekDouble time) |
SOLVER_UTILS_EXPORT void | SetInitialStep (const int step) |
SOLVER_UTILS_EXPORT void | SetBoundaryConditions (NekDouble time) |
Evaluates the boundary conditions at the given time. More... | |
virtual SOLVER_UTILS_EXPORT bool | v_NegatedOp () |
Virtual function to identify if operator is negated in DoSolve. More... | |
Static Public Member Functions | |
static EquationSystemSharedPtr | create (const LibUtilities::SessionReaderSharedPtr &pSession) |
Creates an instance of this class. More... | |
Static Public Attributes | |
static std::string | className = GetEquationSystemFactory().RegisterCreatorFunction("EigenValuesAdvection", EigenValuesAdvection::create, "Eigenvalues of the weak advection operator.") |
Name of class. More... | |
Protected Member Functions | |
EigenValuesAdvection (const LibUtilities::SessionReaderSharedPtr &pSession) | |
virtual void | v_InitObject () |
Initialisation object for EquationSystem. More... | |
virtual void | v_DoInitialise () |
Virtual function for initialisation implementation. More... | |
virtual void | v_DoSolve () |
Virtual function for solve implementation. More... | |
virtual void | v_GetFluxVector (const int i, Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &flux) |
virtual void | v_NumericalFlux (Array< OneD, Array< OneD, NekDouble > > &physfield, Array< OneD, Array< OneD, NekDouble > > &numflux) |
Protected Member Functions inherited from Nektar::SolverUtils::EquationSystem | |
SOLVER_UTILS_EXPORT | EquationSystem (const LibUtilities::SessionReaderSharedPtr &pSession) |
Initialises EquationSystem class members. More... | |
int | nocase_cmp (const std::string &s1, const std::string &s2) |
virtual SOLVER_UTILS_EXPORT NekDouble | v_LinfError (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray) |
Virtual function for the L_inf error computation between fields and a given exact solution. More... | |
virtual SOLVER_UTILS_EXPORT NekDouble | v_L2Error (unsigned int field, const Array< OneD, NekDouble > &exactsoln=NullNekDouble1DArray, bool Normalised=false) |
Virtual function for the L_2 error computation between fields and a given exact solution. More... | |
virtual SOLVER_UTILS_EXPORT void | v_TransCoeffToPhys () |
Virtual function for transformation to physical space. More... | |
virtual SOLVER_UTILS_EXPORT void | v_TransPhysToCoeff () |
Virtual function for transformation to coefficient space. More... | |
virtual SOLVER_UTILS_EXPORT void | v_GenerateSummary (SummaryList &l) |
Virtual function for generating summary information. More... | |
virtual SOLVER_UTILS_EXPORT void | v_SetInitialConditions (NekDouble initialtime=0.0, bool dumpInitialConditions=true, const int domain=0) |
virtual SOLVER_UTILS_EXPORT void | v_EvaluateExactSolution (unsigned int field, Array< OneD, NekDouble > &outfield, const NekDouble time) |
SOLVER_UTILS_EXPORT void | SetUpBaseFields (SpatialDomains::MeshGraphSharedPtr &mesh) |
SOLVER_UTILS_EXPORT void | ImportFldBase (std::string pInfile, SpatialDomains::MeshGraphSharedPtr pGraph) |
virtual SOLVER_UTILS_EXPORT void | v_Output (void) |
virtual SOLVER_UTILS_EXPORT MultiRegions::ExpListSharedPtr | v_GetPressure (void) |
virtual SOLVER_UTILS_EXPORT void | v_ExtraFldOutput (std::vector< Array< OneD, NekDouble > > &fieldcoeffs, std::vector< std::string > &variables) |
Protected Attributes | |
Array< OneD, Array< OneD, NekDouble > > | m_velocity |
Protected Attributes inherited from Nektar::SolverUtils::EquationSystem | |
LibUtilities::CommSharedPtr | m_comm |
Communicator. More... | |
LibUtilities::SessionReaderSharedPtr | m_session |
The session reader. More... | |
LibUtilities::FieldIOSharedPtr | m_fld |
Field input/output. More... | |
std::map< std::string, Array < OneD, Array< OneD, float > > > | m_interpWeights |
Map of the interpolation weights for a specific filename. More... | |
std::map< std::string, Array < OneD, Array< OneD, unsigned int > > > | m_interpInds |
Map of the interpolation indices for a specific filename. More... | |
Array< OneD, MultiRegions::ExpListSharedPtr > | m_fields |
Array holding all dependent variables. More... | |
Array< OneD, MultiRegions::ExpListSharedPtr > | m_base |
Base fields. More... | |
Array< OneD, MultiRegions::ExpListSharedPtr > | m_derivedfields |
Array holding all dependent variables. More... | |
SpatialDomains::BoundaryConditionsSharedPtr | m_boundaryConditions |
Pointer to boundary conditions object. More... | |
SpatialDomains::MeshGraphSharedPtr | m_graph |
Pointer to graph defining mesh. More... | |
std::string | m_sessionName |
Name of the session. More... | |
NekDouble | m_time |
Current time of simulation. More... | |
int | m_initialStep |
Number of the step where the simulation should begin. More... | |
NekDouble | m_fintime |
Finish time of the simulation. More... | |
NekDouble | m_timestep |
Time step size. More... | |
NekDouble | m_lambda |
Lambda constant in real system if one required. More... | |
std::set< std::string > | m_loadedFields |
NekDouble | m_checktime |
Time between checkpoints. More... | |
int | m_nchk |
Number of checkpoints written so far. More... | |
int | m_steps |
Number of steps to take. More... | |
int | m_checksteps |
Number of steps between checkpoints. More... | |
int | m_spacedim |
Spatial dimension (>= expansion dim). More... | |
int | m_expdim |
Expansion dimension. More... | |
bool | m_singleMode |
Flag to determine if single homogeneous mode is used. More... | |
bool | m_halfMode |
Flag to determine if half homogeneous mode is used. More... | |
bool | m_multipleModes |
Flag to determine if use multiple homogenenous modes are used. More... | |
bool | m_useFFT |
Flag to determine if FFT is used for homogeneous transform. More... | |
bool | m_homogen_dealiasing |
Flag to determine if dealiasing is used for homogeneous simulations. More... | |
bool | m_specHP_dealiasing |
Flag to determine if dealisising is usde for the Spectral/hp element discretisation. More... | |
enum MultiRegions::ProjectionType | m_projectionType |
Type of projection; e.g continuous or discontinuous. More... | |
Array< OneD, Array< OneD, NekDouble > > | m_traceNormals |
Array holding trace normals for DG simulations in the forwards direction. More... | |
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > | m_gradtan |
1 x nvariable x nq More... | |
Array< OneD, Array< OneD, Array< OneD, NekDouble > > > | m_tanbasis |
2 x m_spacedim x nq More... | |
Array< OneD, bool > | m_checkIfSystemSingular |
Flag to indicate if the fields should be checked for singularity. More... | |
LibUtilities::FieldMetaDataMap | m_fieldMetaDataMap |
Map to identify relevant solver info to dump in output fields. More... | |
int | m_NumQuadPointsError |
Number of Quadrature points used to work out the error. More... | |
enum HomogeneousType | m_HomogeneousType |
NekDouble | m_LhomX |
physical length in X direction (if homogeneous) More... | |
NekDouble | m_LhomY |
physical length in Y direction (if homogeneous) More... | |
NekDouble | m_LhomZ |
physical length in Z direction (if homogeneous) More... | |
int | m_npointsX |
number of points in X direction (if homogeneous) More... | |
int | m_npointsY |
number of points in Y direction (if homogeneous) More... | |
int | m_npointsZ |
number of points in Z direction (if homogeneous) More... | |
int | m_HomoDirec |
number of homogenous directions More... | |
Friends | |
class | MemoryManager< EigenValuesAdvection > |
Additional Inherited Members | |
Protected Types inherited from Nektar::SolverUtils::EquationSystem | |
enum | HomogeneousType { eHomogeneous1D, eHomogeneous2D, eHomogeneous3D, eNotHomogeneous } |
Parameter for homogeneous expansions. More... | |
Definition at line 45 of file EigenValuesAdvection.h.
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virtual |
Definition at line 72 of file EigenValuesAdvection.cpp.
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protected |
Definition at line 46 of file EigenValuesAdvection.cpp.
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inlinestatic |
Creates an instance of this class.
Definition at line 51 of file EigenValuesAdvection.h.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr().
Virtual function for initialisation implementation.
By default, nothing needs initialising at the EquationSystem level.
Reimplemented from Nektar::SolverUtils::EquationSystem.
Definition at line 67 of file EigenValuesAdvection.cpp.
Virtual function for solve implementation.
Feeding the weak Advection oprator with a vector (inarray) Looping on inarray and changing the position of the only non-zero entry we simulate the multiplication by the identity matrix. The results stored in outarray is one of the columns of the weak advection oprators which are then stored in MATRIX for the futher eigenvalues calculation.
The result is stored in outarray (is the j-th columns of the weak advection operator). We now store it in MATRIX(j)
Set the j-th entry of inarray back to zero
Calulating the eigenvalues of the weak advection operator stored in (MATRIX) using Lapack routines
Reimplemented from Nektar::SolverUtils::EquationSystem.
Definition at line 77 of file EigenValuesAdvection.cpp.
References Nektar::SolverUtils::EquationSystem::AdvectionNonConservativeForm(), Nektar::MultiRegions::eDiscontinuous, Nektar::MultiRegions::eGalerkin, Nektar::MultiRegions::eMixed_CG_Discontinuous, Nektar::SolverUtils::EquationSystem::GetNcoeffs(), Nektar::SolverUtils::EquationSystem::GetNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_projectionType, m_velocity, Vmath::Neg(), Vmath::Vcopy(), and Nektar::SolverUtils::EquationSystem::WeakDGAdvection().
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protectedvirtual |
Reimplemented from Nektar::SolverUtils::EquationSystem.
Definition at line 227 of file EigenValuesAdvection.cpp.
References ASSERTL1, Nektar::SolverUtils::EquationSystem::GetNpoints(), m_velocity, and Vmath::Vmul().
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protectedvirtual |
Initialisation object for EquationSystem.
Continuous field
Setting up the normals
Setting up the normals
Reimplemented from Nektar::SolverUtils::EquationSystem.
Definition at line 52 of file EigenValuesAdvection.cpp.
References Nektar::SolverUtils::EquationSystem::EvaluateFunction(), Nektar::SolverUtils::EquationSystem::m_spacedim, m_velocity, and Nektar::SolverUtils::EquationSystem::v_InitObject().
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protectedvirtual |
Reimplemented from Nektar::SolverUtils::EquationSystem.
Definition at line 239 of file EigenValuesAdvection.cpp.
References Nektar::SolverUtils::EquationSystem::GetTraceNpoints(), Nektar::SolverUtils::EquationSystem::m_fields, Nektar::SolverUtils::EquationSystem::m_spacedim, Nektar::SolverUtils::EquationSystem::m_traceNormals, m_velocity, Vmath::Vmul(), and Vmath::Vvtvp().
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friend |
Definition at line 48 of file EigenValuesAdvection.h.
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static |
Name of class.
Definition at line 58 of file EigenValuesAdvection.h.
Definition at line 63 of file EigenValuesAdvection.h.
Referenced by v_DoSolve(), v_GetFluxVector(), v_InitObject(), and v_NumericalFlux().