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Nektar::CoupledLocalToGlobalC0ContMap Class Reference

#include <CoupledLocalToGlobalC0ContMap.h>

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Public Member Functions

 CoupledLocalToGlobalC0ContMap (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph, const SpatialDomains::BoundaryConditionsSharedPtr &boundaryConditions, const Array< OneD, MultiRegions::ExpListSharedPtr > &fields, const MultiRegions::ExpListSharedPtr &pressure, const int nz_loc, const bool CheeckForSingularSys=true)
 
void FindEdgeIdToAddMeanPressure (std::vector< std::map< int, int > > &ReorderedGraphVertId, int &nel, const LocalRegions::ExpansionVector &locExpVector, int &edgeId, int &vertId, int &firstNonDirGraphVertId, std::map< int, int > &IsDirEdgeDof, MultiRegions::BottomUpSubStructuredGraphSharedPtr &bottomUpGraph, Array< OneD, int > &AddMeanPressureToEdgeId)
 
- Public Member Functions inherited from Nektar::MultiRegions::AssemblyMapCG
 AssemblyMapCG (const LibUtilities::SessionReaderSharedPtr &pSession, const std::string variable="DefaultVar")
 Default constructor. More...
 
 AssemblyMapCG (const LibUtilities::SessionReaderSharedPtr &pSession, const int numLocalCoeffs, const ExpList &locExp, const BndCondExp &bndCondExp=NullExpListSharedPtrArray, const BndCond &bndConditions=SpatialDomains::NullBoundaryConditionShPtrArray, const bool checkIfSingular=false, const std::string variable="defaultVar", const PeriodicMap &periodicVerts=NullPeriodicMap, const PeriodicMap &periodicEdges=NullPeriodicMap, const PeriodicMap &periodicFaces=NullPeriodicMap)
 General constructor for expansions of all dimensions without boundary conditions. More...
 
virtual ~AssemblyMapCG ()
 Destructor. More...
 
std::map< int, std::vector
< ExtraDirDof > > & 		GetExtraDirDofs ()
 
- Public Member Functions inherited from Nektar::MultiRegions::AssemblyMap
 AssemblyMap ()
 Default constructor. More...
 
 AssemblyMap (const LibUtilities::SessionReaderSharedPtr &pSession, const std::string variable="DefaultVar")
 Constructor with a communicator. More...
 
 AssemblyMap (AssemblyMap *oldLevelMap, const BottomUpSubStructuredGraphSharedPtr &multiLevelGraph)
 Constructor for next level in multi-level static condensation. More...
 
virtual ~AssemblyMap ()
 Destructor. More...
 
LibUtilities::CommSharedPtr GetComm ()
 Retrieves the communicator. More...
 
size_t GetHash () const
 Retrieves the hash of this map. More...
 
int GetLocalToGlobalMap (const int i) const
 
int GetGlobalToUniversalMap (const int i) const
 
int GetGlobalToUniversalMapUnique (const int i) const
 
const Array< OneD, const int > & GetLocalToGlobalMap ()
 
const Array< OneD, const int > & GetGlobalToUniversalMap ()
 
const Array< OneD, const int > & GetGlobalToUniversalMapUnique ()
 
NekDouble GetLocalToGlobalSign (const int i) const
 
const Array< OneD, NekDouble > & GetLocalToGlobalSign () const
 
void LocalToGlobal (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global, bool useComm=true) const
 
void LocalToGlobal (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global, bool useComm=true) const
 
void GlobalToLocal (const Array< OneD, const NekDouble > &global, Array< OneD, NekDouble > &loc) const
 
void GlobalToLocal (const NekVector< NekDouble > &global, NekVector< NekDouble > &loc) const
 
void Assemble (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global) const
 
void Assemble (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global) const
 
void UniversalAssemble (Array< OneD, NekDouble > &pGlobal) const
 
void UniversalAssemble (NekVector< NekDouble > &pGlobal) const
 
void UniversalAssemble (Array< OneD, NekDouble > &pGlobal, int offset) const
 
int GetLocalToGlobalBndMap (const int i) const
 Retrieve the global index of a given local boundary mode. More...
 
const Array< OneD, const int > & GetLocalToGlobalBndMap ()
 Retrieve the global indices of the local boundary modes. More...
 
const Array< OneD, const int > & GetGlobalToUniversalBndMap ()
 
const Array< OneD, const int > & GetGlobalToUniversalBndMapUnique ()
 
bool GetSignChange ()
 Returns true if using a modal expansion requiring a change of sign of some modes. More...
 
NekDouble GetLocalToGlobalBndSign (const int i) const
 Retrieve the sign change of a given local boundary mode. More...
 
Array< OneD, const NekDouble > GetLocalToGlobalBndSign () const
 Retrieve the sign change for all local boundary modes. More...
 
int GetBndCondCoeffsToGlobalCoeffsMap (const int i)
 Retrieves the global index corresponding to a boundary expansion mode. More...
 
const Array< OneD, const int > & GetBndCondCoeffsToGlobalCoeffsMap ()
 Retrieves the global indices corresponding to the boundary expansion modes. More...
 
NekDouble GetBndCondCoeffsToGlobalCoeffsSign (const int i)
 Returns the modal sign associated with a given boundary expansion mode. More...
 
int GetBndCondTraceToGlobalTraceMap (const int i)
 Returns the global index of the boundary trace giving the index on the boundary expansion. More...
 
const Array< OneD, const int > & GetBndCondTraceToGlobalTraceMap ()
 
int GetNumGlobalDirBndCoeffs () const
 Returns the number of global Dirichlet boundary coefficients. More...
 
int GetNumLocalDirBndCoeffs () const
 Returns the number of local Dirichlet boundary coefficients. More...
 
int GetNumGlobalBndCoeffs () const
 Returns the total number of global boundary coefficients. More...
 
int GetNumLocalBndCoeffs () const
 Returns the total number of local boundary coefficients. More...
 
int GetNumLocalCoeffs () const
 Returns the total number of local coefficients. More...
 
int GetNumGlobalCoeffs () const
 Returns the total number of global coefficients. More...
 
bool GetSingularSystem () const
 Retrieves if the system is singular (true) or not (false) More...
 
void GlobalToLocalBnd (const NekVector< NekDouble > &global, NekVector< NekDouble > &loc, int offset) const
 
void GlobalToLocalBnd (const NekVector< NekDouble > &global, NekVector< NekDouble > &loc) const
 
void GlobalToLocalBnd (const Array< OneD, const NekDouble > &global, Array< OneD, NekDouble > &loc, int offset) const
 
void GlobalToLocalBnd (const Array< OneD, const NekDouble > &global, Array< OneD, NekDouble > &loc) const
 
void LocalBndToGlobal (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global, int offset) const
 
void LocalBndToGlobal (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global) const
 
void LocalBndToGlobal (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global, int offset) const
 
void LocalBndToGlobal (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global) const
 
void AssembleBnd (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global, int offset) const
 
void AssembleBnd (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global) const
 
void AssembleBnd (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global, int offset) const
 
void AssembleBnd (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global) const
 
void UniversalAssembleBnd (Array< OneD, NekDouble > &pGlobal) const
 
void UniversalAssembleBnd (NekVector< NekDouble > &pGlobal) const
 
void UniversalAssembleBnd (Array< OneD, NekDouble > &pGlobal, int offset) const
 
int GetFullSystemBandWidth () const
 
int GetNumNonDirVertexModes () const
 
int GetNumNonDirEdgeModes () const
 
int GetNumNonDirFaceModes () const
 
int GetNumDirEdges () const
 
int GetNumDirFaces () const
 
int GetNumNonDirEdges () const
 
int GetNumNonDirFaces () const
 
void PrintStats (std::ostream &out, std::string variable, bool printHeader=true) const
 
const Array< OneD, const int > & GetExtraDirEdges ()
 
boost::shared_ptr< AssemblyMap > LinearSpaceMap (const ExpList &locexp, GlobalSysSolnType solnType)
 
int GetBndSystemBandWidth () const
 Returns the bandwidth of the boundary system. More...
 
int GetStaticCondLevel () const
 Returns the level of static condensation for this map. More...
 
int GetNumPatches () const
 Returns the number of patches in this static condensation level. More...
 
const Array< OneD, const
unsigned int > & 		GetNumLocalBndCoeffsPerPatch ()
 Returns the number of local boundary coefficients in each patch. More...
 
const Array< OneD, const
unsigned int > & 		GetNumLocalIntCoeffsPerPatch ()
 Returns the number of local interior coefficients in each patch. More...
 
const AssemblyMapSharedPtr GetNextLevelLocalToGlobalMap () const
 Returns the local to global mapping for the next level in the multi-level static condensation. More...
 
void SetNextLevelLocalToGlobalMap (AssemblyMapSharedPtr pNextLevelLocalToGlobalMap)
 
const PatchMapSharedPtr & GetPatchMapFromPrevLevel (void) const
 Returns the patch map from the previous level of the multi-level static condensation. More...
 
bool AtLastLevel () const
 Returns true if this is the last level in the multi-level static condensation. More...
 
GlobalSysSolnType GetGlobalSysSolnType () const
 Returns the method of solving global systems. More...
 
PreconditionerType GetPreconType () const
 
NekDouble GetIterativeTolerance () const
 
int GetMaxIterations () const
 
int GetSuccessiveRHS () const
 
int GetLowestStaticCondLevel () const
 

Additional Inherited Members

- Protected Member Functions inherited from Nektar::MultiRegions::AssemblyMapCG
int CreateGraph (const ExpList &locExp, const BndCondExp &bndCondExp, const Array< OneD, const BndCond > &bndConditions, const bool checkIfSystemSingular, const PeriodicMap &periodicVerts, const PeriodicMap &periodicEdges, const PeriodicMap &periodicFaces, DofGraph &graph, BottomUpSubStructuredGraphSharedPtr &bottomUpGraph, std::set< int > &extraDirVerts, std::set< int > &extraDirEdges, int &firstNonDirGraphVertId, int &nExtraDirichlet, int mdswitch=1)
 
void SetUpUniversalC0ContMap (const ExpList &locExp, const PeriodicMap &perVerts=NullPeriodicMap, const PeriodicMap &perEdges=NullPeriodicMap, const PeriodicMap &perFaces=NullPeriodicMap)
 
void CalculateFullSystemBandWidth ()
 Calculate the bandwith of the full matrix system. More...
 
virtual int v_GetLocalToGlobalMap (const int i) const
 
virtual int v_GetGlobalToUniversalMap (const int i) const
 
virtual int v_GetGlobalToUniversalMapUnique (const int i) const
 
virtual const Array< OneD,
const int > & 		v_GetLocalToGlobalMap ()
 
virtual const Array< OneD,
const int > & 		v_GetGlobalToUniversalMap ()
 
virtual const Array< OneD,
const int > & 		v_GetGlobalToUniversalMapUnique ()
 
virtual NekDouble v_GetLocalToGlobalSign (const int i) const
 
virtual const Array< OneD,
NekDouble > & 		v_GetLocalToGlobalSign () const
 
virtual void v_LocalToGlobal (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global, bool useComm) const
 
virtual void v_LocalToGlobal (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global, bool useComm) const
 
virtual void v_GlobalToLocal (const Array< OneD, const NekDouble > &global, Array< OneD, NekDouble > &loc) const
 
virtual void v_GlobalToLocal (const NekVector< NekDouble > &global, NekVector< NekDouble > &loc) const
 
virtual void v_Assemble (const Array< OneD, const NekDouble > &loc, Array< OneD, NekDouble > &global) const
 
virtual void v_Assemble (const NekVector< NekDouble > &loc, NekVector< NekDouble > &global) const
 
virtual void v_UniversalAssemble (Array< OneD, NekDouble > &pGlobal) const
 
virtual void v_UniversalAssemble (NekVector< NekDouble > &pGlobal) const
 
virtual void v_UniversalAssemble (Array< OneD, NekDouble > &pGlobal, int offset) const
 
virtual int v_GetFullSystemBandWidth () const
 
virtual int v_GetNumNonDirVertexModes () const
 
virtual int v_GetNumNonDirEdgeModes () const
 
virtual int v_GetNumNonDirFaceModes () const
 
virtual int v_GetNumDirEdges () const
 
virtual int v_GetNumDirFaces () const
 
virtual int v_GetNumNonDirEdges () const
 
virtual int v_GetNumNonDirFaces () const
 
virtual const Array< OneD,
const int > & 		v_GetExtraDirEdges ()
 
virtual AssemblyMapSharedPtr v_LinearSpaceMap (const ExpList &locexp, GlobalSysSolnType solnType)
 Construct an AssemblyMapCG object which corresponds to the linear space of the current object. More...
 
- Protected Member Functions inherited from Nektar::MultiRegions::AssemblyMap
void CalculateBndSystemBandWidth ()
 Calculates the bandwidth of the boundary system. More...
 
void GlobalToLocalBndWithoutSign (const Array< OneD, const NekDouble > &global, Array< OneD, NekDouble > &loc)
 
- Protected Attributes inherited from Nektar::MultiRegions::AssemblyMapCG
Array< OneD, int > m_localToGlobalMap
 Integer map of local coeffs to global space. More...
 
Array< OneD, NekDouble > m_localToGlobalSign
 Integer sign of local coeffs to global space. More...
 
int m_fullSystemBandWidth
 Bandwith of the full matrix system (no static condensation). More...
 
Array< OneD, int > m_globalToUniversalMap
 Integer map of process coeffs to universal space. More...
 
Array< OneD, int > m_globalToUniversalMapUnique
 Integer map of unique process coeffs to universal space (signed) More...
 
int m_numNonDirVertexModes
 Number of non Dirichlet vertex modes. More...
 
int m_numNonDirEdgeModes
 Number of non Dirichlet edge modes. More...
 
int m_numNonDirFaceModes
 Number of non Dirichlet face modes. More...
 
int m_numDirEdges
 Number of Dirichlet edges. More...
 
int m_numDirFaces
 Number of Dirichlet faces. More...
 
int m_numNonDirEdges
 Number of Dirichlet edges. More...
 
int m_numNonDirFaces
 Number of Dirichlet faces. More...
 
int m_numLocalBndCondCoeffs
 Number of local boundary condition coefficients. More...
 
Array< OneD, int > m_extraDirEdges
 Extra dirichlet edges in parallel. More...
 
int m_numLocDirBndCondDofs
 Number of local boundary condition degrees of freedom. More...
 
int m_maxStaticCondLevel
 Maximum static condensation level. More...
 
std::map< int, std::vector
< ExtraDirDof > > 		m_extraDirDofs
 Map indicating degrees of freedom which are Dirichlet but whose value is stored on another processor. More...
 
- Protected Attributes inherited from Nektar::MultiRegions::AssemblyMap
LibUtilities::SessionReaderSharedPtr m_session
 Session object. More...
 
LibUtilities::CommSharedPtr m_comm
 Communicator. More...
 
size_t m_hash
 Hash for map. More...
 
int m_numLocalBndCoeffs
 Number of local boundary coefficients. More...
 
int m_numGlobalBndCoeffs
 Total number of global boundary coefficients. More...
 
int m_numLocalDirBndCoeffs
 Number of Local Dirichlet Boundary Coefficients. More...
 
int m_numGlobalDirBndCoeffs
 Number of Global Dirichlet Boundary Coefficients. More...
 
bool m_systemSingular
 Flag indicating if the system is singular or not. More...
 
int m_numLocalCoeffs
 Total number of local coefficients. More...
 
int m_numGlobalCoeffs
 Total number of global coefficients. More...
 
bool m_signChange
 Flag indicating if modes require sign reversal. More...
 
Array< OneD, int > m_localToGlobalBndMap
 Integer map of local boundary coeffs to global space. More...
 
Array< OneD, NekDouble > m_localToGlobalBndSign
 Integer sign of local boundary coeffs to global space. More...
 
Array< OneD, int > m_bndCondCoeffsToGlobalCoeffsMap
 Integer map of bnd cond coeffs to global coefficients. More...
 
Array< OneD, NekDouble > m_bndCondCoeffsToGlobalCoeffsSign
 Integer map of bnd cond coeffs to global coefficients. More...
 
Array< OneD, int > m_bndCondTraceToGlobalTraceMap
 Integer map of bnd cond trace number to global trace number. More...
 
Array< OneD, int > m_globalToUniversalBndMap
 Integer map of process coeffs to universal space. More...
 
Array< OneD, int > m_globalToUniversalBndMapUnique
 Integer map of unique process coeffs to universal space (signed) More...
 
GlobalSysSolnType m_solnType
 The solution type of the global system. More...
 
int m_bndSystemBandWidth
 The bandwith of the global bnd system. More...
 
PreconditionerType m_preconType
 Type type of preconditioner to use in iterative solver. More...
 
int m_maxIterations
 Maximum iterations for iterative solver. More...
 
NekDouble m_iterativeTolerance
 Tolerance for iterative solver. More...
 
int m_successiveRHS
 sucessive RHS for iterative solver More...
 
Gs::gs_data * m_gsh
 
Gs::gs_data * m_bndGsh
 
int m_staticCondLevel
 The level of recursion in the case of multi-level static condensation. More...
 
int m_numPatches
 The number of patches (~elements) in the current level. More...
 
Array< OneD, unsigned int > m_numLocalBndCoeffsPerPatch
 The number of bnd dofs per patch. More...
 
Array< OneD, unsigned int > m_numLocalIntCoeffsPerPatch
 The number of int dofs per patch. More...
 
AssemblyMapSharedPtr m_nextLevelLocalToGlobalMap
 Map from the patches of the previous level to the patches of the current level. More...
 
int m_lowestStaticCondLevel
 Lowest static condensation level. More...
 

Detailed Description

Definition at line 45 of file CoupledLocalToGlobalC0ContMap.h.

Constructor & Destructor Documentation

Nektar::CoupledLocalToGlobalC0ContMap::CoupledLocalToGlobalC0ContMap ( const LibUtilities::SessionReaderSharedPtr &  pSession,
const SpatialDomains::MeshGraphSharedPtr &  graph,
const SpatialDomains::BoundaryConditionsSharedPtr &  boundaryConditions,
const Array< OneD, MultiRegions::ExpListSharedPtr > &  fields,
const MultiRegions::ExpListSharedPtr &  pressure,
const int  nz_loc,
const bool  CheckforSingularSys = true 
)

This is an vector extension of MultiRegions::AssemblyMapCG::SetUp2DExpansionC0ContMap related to the Linearised Navier Stokes problem

STEP 1: Wrap boundary conditions vector in an array (since routine is set up for multiple fields) and call the graph re-odering subroutine to obtain the reordered values

: Fix this so that we can extract normals from edges

STEP 2a: Set the mean pressure modes to edges depending on type of direct solver technique;

STEP 2: Count out the number of Dirichlet vertices and edges first

STEP 3: Set up an array which contains the offset information of the different graph vertices.

This basically means to identify how many global degrees of freedom the individual graph vertices correspond. Obviously, the graph vertices corresponding to the mesh-vertices account for a single global DOF. However, the graph vertices corresponding to the element edges correspond to 2*(N-2) global DOF where N is equal to the number of boundary modes on this edge.

STEP 4: Now, all ingredients are ready to set up the actual local to global mapping.

The remainder of the map consists of the element-interior degrees of freedom. This leads to the block-diagonal submatrix as each element-interior mode is globally orthogonal to modes in all other elements.

STEP 5: The boundary condition mapping is generated from the same vertex renumbering and fill in a unique interior map.

Definition at line 53 of file CoupledLocalToGlobalC0ContMap.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::MultiRegions::AssemblyMapCG::CreateGraph(), Nektar::MultiRegions::DeterminePeriodicEdgeOrientId(), Nektar::MultiRegions::eDirectMultiLevelStaticCond, Nektar::SpatialDomains::eDirichlet, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, FindEdgeIdToAddMeanPressure(), Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetVertexMap(), Nektar::iterator, Nektar::NekConstants::kNekZeroTol, Nektar::MultiRegions::AssemblyMap::m_bndCondCoeffsToGlobalCoeffsMap, Nektar::MultiRegions::AssemblyMap::m_localToGlobalBndMap, Nektar::MultiRegions::AssemblyMap::m_localToGlobalBndSign, Nektar::MultiRegions::AssemblyMapCG::m_localToGlobalMap, Nektar::MultiRegions::AssemblyMapCG::m_localToGlobalSign, Nektar::MultiRegions::AssemblyMap::m_nextLevelLocalToGlobalMap, Nektar::MultiRegions::AssemblyMap::m_numGlobalBndCoeffs, Nektar::MultiRegions::AssemblyMap::m_numGlobalCoeffs, Nektar::MultiRegions::AssemblyMap::m_numGlobalDirBndCoeffs, Nektar::MultiRegions::AssemblyMap::m_numLocalBndCoeffs, Nektar::MultiRegions::AssemblyMap::m_numLocalBndCoeffsPerPatch, Nektar::MultiRegions::AssemblyMap::m_numLocalCoeffs, Nektar::MultiRegions::AssemblyMap::m_numLocalDirBndCoeffs, Nektar::MultiRegions::AssemblyMap::m_numLocalIntCoeffsPerPatch, Nektar::MultiRegions::AssemblyMap::m_numPatches, Nektar::MultiRegions::AssemblyMap::m_session, Nektar::MultiRegions::AssemblyMap::m_signChange, Nektar::MultiRegions::AssemblyMap::m_staticCondLevel, Nektar::MultiRegions::AssemblyMap::m_systemSingular, Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), and Vmath::Vmax().

60  :
61  AssemblyMapCG(pSession)
62  {
63  int i,j,k,n;
64  int cnt = 0,offset=0;
65  int meshVertId;
66  int meshEdgeId;
67  int bndEdgeCnt;
68  int globalId;
69  int nEdgeCoeffs;
70  int nEdgeInteriorCoeffs;
71  int firstNonDirGraphVertId;
72  int nLocBndCondDofs = 0;
73  int nLocDirBndCondDofs = 0;
74  int nExtraDirichlet = 0;
75  StdRegions::StdExpansion2DSharedPtr locExpansion;
76  LocalRegions::SegExpSharedPtr bndSegExp;
77  LibUtilities::BasisType bType;
78  StdRegions::Orientation edgeOrient;
79  Array<OneD, unsigned int> edgeInteriorMap;
80  Array<OneD, int> edgeInteriorSign;
81  int nvel = fields.num_elements();
82  MultiRegions::PeriodicMap::const_iterator pIt;
83 
84  const LocalRegions::ExpansionVector &locExpVector = *(fields[0]->GetExp());
85  int id, diff;
86  int nel = fields[0]->GetNumElmts();
87 
88  MultiRegions::PeriodicMap periodicVerts;
89  MultiRegions::PeriodicMap periodicEdges;
90  MultiRegions::PeriodicMap periodicFaces;
91  vector<map<int,int> > ReorderedGraphVertId(3);
92  MultiRegions::BottomUpSubStructuredGraphSharedPtr bottomUpGraph;
93  int staticCondLevel = 0;
94 
95  if(CheckforSingularSys) //all singularity checking by setting flag to true
96  {
97  m_systemSingular = true;
98  }
99  else // Turn off singular checking by setting flag to false
100  {
101  m_systemSingular = false;
102  }
103 
104  /**
105  * STEP 1: Wrap boundary conditions vector in an array
106  * (since routine is set up for multiple fields) and call
107  * the graph re-odering subroutine to obtain the reordered
108  * values
109  */
110 
111  // Obtain any periodic information and allocate default mapping array
112  fields[0]->GetPeriodicEntities(periodicVerts,periodicEdges,periodicFaces);
113 
114 
115  const Array<OneD, const MultiRegions::ExpListSharedPtr> bndCondExp = fields[0]->GetBndCondExpansions();
116 
117  Array<OneD, Array<OneD, const SpatialDomains::BoundaryConditionShPtr> > bndConditionsVec(nvel);
118  for(i = 0; i < nvel; ++i)
119  {
120  bndConditionsVec[i] = fields[i]->GetBndConditions();
121  }
122 
123  map<int,int> IsDirVertDof;
124  map<int,int> IsDirEdgeDof;
125  map<int,int>::iterator mapIt;
126 
127  SpatialDomains::Geometry1DSharedPtr g;
128  for(j = 0; j < bndCondExp.num_elements(); ++j)
129  {
130  map<int,int> BndExpVids;
131  // collect unique list of vertex ids for this expansion
132  for(k = 0; k < bndCondExp[j]->GetNumElmts(); ++k)
133  {
134  g = bndCondExp[j]->GetExp(k)->as<LocalRegions::Expansion1D>()
135  ->GetGeom1D();
136  BndExpVids[g->GetVid(0)] = g->GetVid(0);
137  BndExpVids[g->GetVid(1)] = g->GetVid(1);
138  }
139 
140  for(i = 0; i < nvel; ++i)
141  {
142  if(bndConditionsVec[i][j]->GetBoundaryConditionType()==SpatialDomains::eDirichlet)
143  {
144  // set number of Dirichlet conditions along edge
145  for(k = 0; k < bndCondExp[j]->GetNumElmts(); ++k)
146  {
147  IsDirEdgeDof[bndCondExp[j]->GetExp(k)
148  ->as<LocalRegions::Expansion1D>()
149  ->GetGeom1D()->GetEid()] += 1;
150  }
151 
152 
153  // Set number of Dirichlet conditions at vertices
154  // with a clamp on its maximum value being nvel to
155  // handle corners between expansions
156  for(mapIt = BndExpVids.begin(); mapIt != BndExpVids.end(); mapIt++)
157  {
158  id = IsDirVertDof[mapIt->second]+1;
159  IsDirVertDof[mapIt->second] = (id > nvel)?nvel:id;
160  }
161  }
162  else
163  {
164  // Check to see that edge normals have non-zero
165  // component in this direction since otherwise
166  // also can be singular.
167  /// @TODO: Fix this so that we can extract normals from edges
168  for(k = 0; k < bndCondExp[j]->GetNumElmts(); ++k)
169  {
170  Array<OneD,Array<OneD,NekDouble> > locnorm;
171  LocalRegions::Expansion1DSharedPtr loc_exp
172  = bndCondExp[j]->GetExp(k)
173  ->as<LocalRegions::Expansion1D>();
174  locnorm = loc_exp->GetLeftAdjacentElementExp()->GetEdgeNormal(loc_exp->GetLeftAdjacentElementEdge());
175  //locnorm = bndCondExp[j]->GetExp(k)->Get GetMetricInfo()->GetNormal();
176 
177  int ndir = locnorm.num_elements();
178  if(i < ndir) // account for Fourier version where n can be larger then ndir
179  {
180  for(int l = 0; l < locnorm[0].num_elements(); ++l)
181  {
182  if(fabs(locnorm[i][l]) > NekConstants::kNekZeroTol)
183  {
184  m_systemSingular = false;
185  break;
186  }
187  }
188  }
189  if(m_systemSingular == false)
190  {
191  break;
192  }
193  }
194  }
195  }
196  }
197 
198  Array<OneD, map<int,int> >Dofs(2);
199 
200  Array<OneD, int> AddMeanPressureToEdgeId(nel,-1);
201  int edgeId,vertId;
202 
203 
204  // special case of singular problem - need to fix one pressure
205  // dof to a dirichlet edge. Since we attached pressure dof to
206  // last velocity component of edge need to make sure this
207  // component is Dirichlet
208  if(m_systemSingular)
209  {
210  id = -1;
211  for(i = 0; i < bndConditionsVec[0].num_elements(); ++i)
212  {
213  if(bndConditionsVec[nvel-1][i]->GetBoundaryConditionType() == SpatialDomains::eDirichlet)
214  {
215  id = bndCondExp[i]->GetExp(0)
216  ->as<LocalRegions::Expansion1D>()->GetGeom1D()
217  ->GetEid();
218  break;
219  }
220  }
221 
222  ASSERTL0(id != -1," Did not find an edge to attach singular pressure degree of freedom");
223 
224  // determine element with this edge id. There may be a
225  // more direct way of getting element from spatialDomains
226  for(i = 0; i < nel; ++i)
227  {
228  for(j = 0; j < locExpVector[i]->GetNverts(); ++j)
229  {
230  edgeId = (locExpVector[i]->as<LocalRegions::Expansion2D>()
231  ->GetGeom2D())->GetEid(j);
232 
233  if(edgeId == id)
234  {
235  AddMeanPressureToEdgeId[i] = id;
236  break;
237  }
238  }
239 
240  if(AddMeanPressureToEdgeId[i] != -1)
241  {
242  break;
243  }
244  }
245  }
246 
247 
248  for(i = 0; i < nel; ++i)
249  {
250  for(j = 0; j < locExpVector[i]->GetNverts(); ++j)
251  {
252  vertId = (locExpVector[i]->as<LocalRegions::Expansion2D>()
253  ->GetGeom2D())->GetVid(j);
254  if(Dofs[0].count(vertId) == 0)
255  {
256  Dofs[0][vertId] = nvel*nz_loc;
257 
258  // Adjust for a Dirichlet boundary condition to give number to be solved
259  if(IsDirVertDof.count(vertId) != 0)
260  {
261  Dofs[0][vertId] -= IsDirVertDof[vertId]*nz_loc;
262  }
263  }
264 
265  edgeId = (locExpVector[i]->as<LocalRegions::Expansion2D>()
266  ->GetGeom2D())->GetEid(j);
267  if(Dofs[1].count(edgeId) == 0)
268  {
269  Dofs[1][edgeId] = nvel*(locExpVector[i]->GetEdgeNcoeffs(j)-2)*nz_loc;
270  }
271 
272  // Adjust for Dirichlet boundary conditions to give number to be solved
273  if(IsDirEdgeDof.count(edgeId) != 0)
274  {
275  Dofs[1][edgeId] -= IsDirEdgeDof[edgeId]*nz_loc*(locExpVector[i]->GetEdgeNcoeffs(j)-2);
276  }
277  }
278  }
279 
280  set<int> extraDirVerts, extraDirEdges;
281 
282  CreateGraph(*fields[0], bndCondExp, bndConditionsVec, false,
283  periodicVerts, periodicEdges, periodicFaces,
284  ReorderedGraphVertId, bottomUpGraph, extraDirVerts,
285  extraDirEdges, firstNonDirGraphVertId, nExtraDirichlet, 4);
286  /*
287  SetUp2DGraphC0ContMap(*fields[0],
288  bndCondExp,
289  bndConditionsVec,
290  periodicVerts, periodicEdges,
291  Dofs, ReorderedGraphVertId,
292  firstNonDirGraphVertId, nExtraDirichlet,
293  bottomUpGraph, extraDir, false, 4);
294  */
295 
296  /**
297  * STEP 2a: Set the mean pressure modes to edges depending on
298  * type of direct solver technique;
299  */
300 
301  // determine which edge to add mean pressure dof based on
302  // ensuring that at least one pressure dof from an internal
303  // patch is associated with its boundary system
304  if(m_session->MatchSolverInfoAsEnum("GlobalSysSoln", MultiRegions::eDirectMultiLevelStaticCond))
305  {
306 
307 
308  FindEdgeIdToAddMeanPressure(ReorderedGraphVertId,
309  nel, locExpVector,
310  edgeId, vertId, firstNonDirGraphVertId, IsDirEdgeDof,
311  bottomUpGraph,
312  AddMeanPressureToEdgeId);
313  }
314 
315  // Set unset elmts to non-Dirichlet edges.
316  // special case of singular problem - need to fix one
317  // pressure dof to a dirichlet edge
318  for(i = 0; i < nel; ++i)
319  {
320  for(j = 0; j < locExpVector[i]->GetNverts(); ++j)
321  {
322  edgeId = (locExpVector[i]->as<LocalRegions::Expansion2D>()
323  ->GetGeom2D())->GetEid(j);
324 
325  if(IsDirEdgeDof.count(edgeId) == 0) // interior edge
326  {
327  // setup AddMeanPressureToEdgeId to decide where to
328  // put pressure
329  if(AddMeanPressureToEdgeId[i] == -1)
330  {
331  AddMeanPressureToEdgeId[i] = edgeId;
332  }
333  }
334  }
335  ASSERTL0((AddMeanPressureToEdgeId[i] != -1),"Did not determine "
336  "an edge to attach mean pressure dof");
337  // Add the mean pressure degree of freedom to this edge
338  Dofs[1][AddMeanPressureToEdgeId[i]] += nz_loc;
339  }
340 
341  map<int,int> pressureEdgeOffset;
342 
343  /**
344  * STEP 2: Count out the number of Dirichlet vertices and edges first
345  */
346  for(i = 0; i < bndCondExp.num_elements(); i++)
347  {
348  for(j = 0; j < bndCondExp[i]->GetNumElmts(); j++)
349  {
350  bndSegExp = bndCondExp[i]->GetExp(j)
351  ->as<LocalRegions::SegExp>();
352  for(k = 0; k < nvel; ++k)
353  {
354  if(bndConditionsVec[k][i]->GetBoundaryConditionType()==SpatialDomains::eDirichlet)
355  {
356  nLocDirBndCondDofs += bndSegExp->GetNcoeffs()*nz_loc;
357  }
358  nLocBndCondDofs += bndSegExp->GetNcoeffs()*nz_loc;
359  }
360  }
361  }
362 
363  if(m_systemSingular)
364  {
365  m_numLocalDirBndCoeffs = nLocDirBndCondDofs+nExtraDirichlet+nz_loc;
366  }
367  else
368  {
369  m_numLocalDirBndCoeffs = nLocDirBndCondDofs+nExtraDirichlet;
370  }
371 
372  /**
373  * STEP 3: Set up an array which contains the offset information of
374  * the different graph vertices.
375  *
376  * This basically means to identify how many global degrees of
377  * freedom the individual graph vertices correspond. Obviously,
378  * the graph vertices corresponding to the mesh-vertices account
379  * for a single global DOF. However, the graph vertices
380  * corresponding to the element edges correspond to 2*(N-2) global DOF
381  * where N is equal to the number of boundary modes on this edge.
382  */
383  Array<OneD, int> graphVertOffset(nvel*nz_loc*(ReorderedGraphVertId[0].size() + ReorderedGraphVertId[1].size()),0);
384  graphVertOffset[0] = 0;
385 
386  m_signChange = false;
387 
388  for(i = 0; i < nel; ++i)
389  {
390  locExpansion = locExpVector[i]->as<StdRegions::StdExpansion2D>();
391 
392  for(j = 0; j < locExpansion->GetNedges(); ++j)
393  {
394  nEdgeCoeffs = locExpansion->GetEdgeNcoeffs(j);
395  meshEdgeId = (locExpansion->as<LocalRegions::Expansion2D>()
396  ->GetGeom2D())->GetEid(j);
397  meshVertId = (locExpansion->as<LocalRegions::Expansion2D>()
398  ->GetGeom2D())->GetVid(j);
399 
400  for(k = 0; k < nvel*nz_loc; ++k)
401  {
402  graphVertOffset[ReorderedGraphVertId[0][meshVertId]*nvel*nz_loc+k] = 1;
403  graphVertOffset[ReorderedGraphVertId[1][meshEdgeId]*nvel*nz_loc+k] = (nEdgeCoeffs-2);
404  }
405 
406  bType = locExpansion->GetEdgeBasisType(j);
407  // need a sign vector for modal expansions if nEdgeCoeffs >=4
408  if( (nEdgeCoeffs >= 4)&&
409  ( (bType == LibUtilities::eModified_A)||
410  (bType == LibUtilities::eModified_B) ) )
411  {
412  m_signChange = true;
413  }
414  }
415  }
416 
417  // Add mean pressure modes;
418  for(i = 0; i < nel; ++i)
419  {
420  graphVertOffset[(ReorderedGraphVertId[1][AddMeanPressureToEdgeId[i]]+1)*nvel*nz_loc-1] += nz_loc;
421  //graphVertOffset[(ReorderedGraphVertId[1][AddMeanPressureToEdgeId[i]])*nvel*nz_loc] += nz_loc;
422  }
423 
424  // Negate the vertices and edges with only a partial
425  // Dirichlet conditon. Essentially we check to see if an edge
426  // has a mixed Dirichlet with Neumann/Robin Condition and if
427  // so negate the offset associated with this vertex.
428 
429  map<int,int> DirVertChk;
430 
431  for(i = 0; i < bndConditionsVec[0].num_elements(); ++i)
432  {
433  cnt = 0;
434  for(j = 0; j < nvel; ++j)
435  {
436  if(bndConditionsVec[j][i]->GetBoundaryConditionType() == SpatialDomains::eDirichlet)
437  {
438  cnt ++;
439  }
440  }
441 
442  // Case where partial Dirichlet boundary condition
443  if((cnt > 0)&&(cnt < nvel))
444  {
445  for(j = 0; j < nvel; ++j)
446  {
447  if(bndConditionsVec[j][i]->GetBoundaryConditionType() == SpatialDomains::eDirichlet)
448  {
449  //negate graph offsets which should be
450  //Dirichlet conditions
451  for(k = 0; k < bndCondExp[i]->GetNumElmts(); ++k)
452  {
453  // vertices with mix condition;
454  id = bndCondExp[i]->GetExp(k)
455  ->as<LocalRegions::Expansion1D>()
456  ->GetGeom1D()->GetVid(0);
457  if(DirVertChk.count(id*nvel+j) == 0)
458  {
459  DirVertChk[id*nvel+j] = 1;
460  for(n = 0; n < nz_loc; ++n)
461  {
462  graphVertOffset[ReorderedGraphVertId[0][id]*nvel*nz_loc+j*nz_loc + n] *= -1;
463  }
464  }
465 
466  id = bndCondExp[i]->GetExp(k)
467  ->as<LocalRegions::Expansion1D>()
468  ->GetGeom1D()->GetVid(1);
469  if(DirVertChk.count(id*nvel+j) == 0)
470  {
471  DirVertChk[id*nvel+j] = 1;
472  for(n = 0; n < nz_loc; ++n)
473  {
474  graphVertOffset[ReorderedGraphVertId[0][id]*nvel*nz_loc+j*nz_loc+n] *= -1;
475  }
476  }
477 
478  // edges with mixed id;
479  id = bndCondExp[i]->GetExp(k)
480  ->as<LocalRegions::Expansion1D>()
481  ->GetGeom1D()->GetEid();
482  for(n = 0; n < nz_loc; ++n)
483  {
484  graphVertOffset[ReorderedGraphVertId[1][id]*nvel*nz_loc+j*nz_loc +n] *= -1;
485  }
486  }
487  }
488  }
489  }
490  }
491 
492 
493  cnt = 0;
494  // assemble accumulative list of full Dirichlet values.
495  for(i = 0; i < firstNonDirGraphVertId*nvel*nz_loc; ++i)
496  {
497  diff = abs(graphVertOffset[i]);
498  graphVertOffset[i] = cnt;
499  cnt += diff;
500  }
501 
502  // set Dirichlet values with negative values to Dirichlet value
503  for(i = firstNonDirGraphVertId*nvel*nz_loc; i < graphVertOffset.num_elements(); ++i)
504  {
505  if(graphVertOffset[i] < 0)
506  {
507  diff = -graphVertOffset[i];
508  graphVertOffset[i] = -cnt;
509  cnt += diff;
510  }
511  }
512 
513  // Accumulate all interior degrees of freedom with positive values
514  m_numGlobalDirBndCoeffs = cnt;
515 
516  // offset values
517  for(i = firstNonDirGraphVertId*nvel*nz_loc; i < graphVertOffset.num_elements(); ++i)
518  {
519  if(graphVertOffset[i] >= 0)
520  {
521  diff = graphVertOffset[i];
522  graphVertOffset[i] = cnt;
523  cnt += diff;
524  }
525  }
526 
527  // Finally set negative entries (corresponding to Dirichlet
528  // values ) to be positive
529  for(i = firstNonDirGraphVertId*nvel*nz_loc; i < graphVertOffset.num_elements(); ++i)
530  {
531  if(graphVertOffset[i] < 0)
532  {
533  graphVertOffset[i] = -graphVertOffset[i];
534  }
535  }
536 
537 
538  // Allocate the proper amount of space for the class-data and fill
539  // information that is already known
540  cnt = 0;
541  m_numLocalBndCoeffs = 0;
542  m_numLocalCoeffs = 0;
543 
544  for(i = 0; i < nel; ++i)
545  {
546  m_numLocalBndCoeffs += nz_loc*(nvel*locExpVector[i]->NumBndryCoeffs() + 1);
547  // add these coeffs up separately since
548  // pressure->GetNcoeffs can include the coefficient in
549  // multiple planes.
550  m_numLocalCoeffs += (pressure->GetExp(i)->GetNcoeffs()-1)*nz_loc;
551  }
552 
553  m_numLocalCoeffs += m_numLocalBndCoeffs;
554 
555 
556  m_localToGlobalMap = Array<OneD, int>(m_numLocalCoeffs,-1);
557  m_localToGlobalBndMap = Array<OneD, int>(m_numLocalBndCoeffs,-1);
558  m_bndCondCoeffsToGlobalCoeffsMap = Array<OneD, int>(nLocBndCondDofs,-1);
559 
560 
561  // Set default sign array.
562  m_localToGlobalSign = Array<OneD, NekDouble>(m_numLocalCoeffs,1.0);
563  m_localToGlobalBndSign = Array<OneD, NekDouble>(m_numLocalBndCoeffs,1.0);
564 
565  m_staticCondLevel = staticCondLevel;
566  m_numPatches = nel;
567 
568  m_numLocalBndCoeffsPerPatch = Array<OneD, unsigned int>(nel);
569  m_numLocalIntCoeffsPerPatch = Array<OneD, unsigned int>(nel);
570 
571  for(i = 0; i < nel; ++i)
572  {
573  m_numLocalBndCoeffsPerPatch[i] = (unsigned int) nz_loc*(nvel*locExpVector[i]->NumBndryCoeffs() + 1);
574  m_numLocalIntCoeffsPerPatch[i] = (unsigned int) nz_loc*(pressure->GetExp(i)->GetNcoeffs()-1);
575  }
576 
577  /**
578  * STEP 4: Now, all ingredients are ready to set up the actual
579  * local to global mapping.
580  *
581  * The remainder of the map consists of the element-interior
582  * degrees of freedom. This leads to the block-diagonal submatrix
583  * as each element-interior mode is globally orthogonal to modes
584  * in all other elements.
585  */
586  cnt = 0;
587  int nv,velnbndry;
588  Array<OneD, unsigned int> bmap;
589 
590 
591  // Loop over all the elements in the domain in shuffled
592  // ordering (element type consistency)
593  for(i = 0; i < nel; ++i)
594  {
595  locExpansion = locExpVector[i]->as<StdRegions::StdExpansion2D>();
596 
597  velnbndry = locExpansion->NumBndryCoeffs();
598 
599  // require an inverse ordering of the bmap system to store
600  // local numbering system which takes matrix these
601  // matrices. Therefore get hold of elemental bmap and set
602  // up an inverse map
603  map<int,int> inv_bmap;
604  locExpansion->GetBoundaryMap(bmap);
605  for(j = 0; j < bmap.num_elements(); ++j)
606  {
607  inv_bmap[bmap[j]] = j;
608  }
609 
610  // Loop over all edges (and vertices) of element i
611  for(j = 0; j < locExpansion->GetNedges(); ++j)
612  {
613  nEdgeInteriorCoeffs = locExpansion->GetEdgeNcoeffs(j)-2;
614  edgeOrient = (locExpansion->as<LocalRegions::Expansion2D>()
615  ->GetGeom2D())->GetEorient(j);
616  meshEdgeId = (locExpansion->as<LocalRegions::Expansion2D>()
617  ->GetGeom2D())->GetEid(j);
618  meshVertId = (locExpansion->as<LocalRegions::Expansion2D>()
619  ->GetGeom2D())->GetVid(j);
620 
621  pIt = periodicEdges.find(meshEdgeId);
622 
623  // See if this edge is periodic. If it is, then we map all
624  // edges to the one with lowest ID, and align all
625  // coefficients to this edge orientation.
626  if (pIt != periodicEdges.end())
627  {
628  pair<int, StdRegions::Orientation> idOrient =
629  DeterminePeriodicEdgeOrientId(
630  meshEdgeId, edgeOrient, pIt->second);
631  edgeOrient = idOrient.second;
632  }
633 
634  locExpansion->GetEdgeInteriorMap(j,edgeOrient,edgeInteriorMap,edgeInteriorSign);
635  // Set the global DOF for vertex j of element i
636 
637  for(nv = 0; nv < nvel*nz_loc; ++nv)
638  {
639  m_localToGlobalMap[cnt+nv*velnbndry+inv_bmap[locExpansion->GetVertexMap(j)]] = graphVertOffset[ReorderedGraphVertId[0][meshVertId]*nvel*nz_loc+ nv];
640  // Set the global DOF's for the interior modes of edge j
641  for(k = 0; k < nEdgeInteriorCoeffs; ++k)
642  {
643  m_localToGlobalMap[cnt+nv*velnbndry+inv_bmap[edgeInteriorMap[k]]] = graphVertOffset[ReorderedGraphVertId[1][meshEdgeId]*nvel*nz_loc+nv]+k;
644  }
645  }
646 
647  // Fill the sign vector if required
648  if(m_signChange)
649  {
650  for(nv = 0; nv < nvel*nz_loc; ++nv)
651  {
652  for(k = 0; k < nEdgeInteriorCoeffs; ++k)
653  {
654  m_localToGlobalSign[cnt+nv*velnbndry + inv_bmap[edgeInteriorMap[k]]] = (NekDouble) edgeInteriorSign[k];
655  }
656  }
657  }
658  }
659 
660  // use difference between two edges of the AddMeanPressureEdgeId to det nEdgeInteriorCoeffs.
661  nEdgeInteriorCoeffs = graphVertOffset[(ReorderedGraphVertId[1][AddMeanPressureToEdgeId[i]])*nvel*nz_loc+1] - graphVertOffset[(ReorderedGraphVertId[1][AddMeanPressureToEdgeId[i]])*nvel*nz_loc];
662 
663  int psize = pressure->GetExp(i)->GetNcoeffs();
664  for(n = 0; n < nz_loc; ++n)
665  {
666  m_localToGlobalMap[cnt + nz_loc*nvel*velnbndry + n*psize] = graphVertOffset[(ReorderedGraphVertId[1][AddMeanPressureToEdgeId[i]]+1)*nvel*nz_loc-1]+nEdgeInteriorCoeffs + pressureEdgeOffset[AddMeanPressureToEdgeId[i]];
667 
668  pressureEdgeOffset[AddMeanPressureToEdgeId[i]] += 1;
669  }
670 
671  cnt += (velnbndry*nvel+ psize)*nz_loc;
672  }
673 
674  // Set up the mapping for the boundary conditions
675  offset = cnt = 0;
676  for(nv = 0; nv < nvel; ++nv)
677  {
678  for(i = 0; i < bndCondExp.num_elements(); i++)
679  {
680  for(n = 0; n < nz_loc; ++n)
681  {
682  int ncoeffcnt = 0;
683  for(j = 0; j < bndCondExp[i]->GetNumElmts(); j++)
684  {
685  bndSegExp = bndCondExp[i]->GetExp(j)
686  ->as<LocalRegions::SegExp>();
687 
688  cnt = offset + bndCondExp[i]->GetCoeff_Offset(j);
689  for(k = 0; k < 2; k++)
690  {
691  meshVertId = (bndSegExp->GetGeom1D())->GetVid(k);
692  m_bndCondCoeffsToGlobalCoeffsMap[cnt+bndSegExp->GetVertexMap(k)] = graphVertOffset[ReorderedGraphVertId[0][meshVertId]*nvel*nz_loc+nv*nz_loc+n];
693  }
694 
695  meshEdgeId = (bndSegExp->GetGeom1D())->GetEid();
696  bndEdgeCnt = 0;
697  nEdgeCoeffs = bndSegExp->GetNcoeffs();
698  for(k = 0; k < nEdgeCoeffs; k++)
699  {
700  if(m_bndCondCoeffsToGlobalCoeffsMap[cnt+k] == -1)
701  {
702  m_bndCondCoeffsToGlobalCoeffsMap[cnt+k] =
703  graphVertOffset[ReorderedGraphVertId[1][meshEdgeId]*nvel*nz_loc+nv*nz_loc+n]+bndEdgeCnt;
704  bndEdgeCnt++;
705  }
706  }
707  ncoeffcnt += nEdgeCoeffs;
708  }
709  // Note: Can not use bndCondExp[i]->GetNcoeffs()
710  // due to homogeneous extension not returning just
711  // the value per plane
712  offset += ncoeffcnt;
713  }
714  }
715  }
716 
717  globalId = Vmath::Vmax(m_numLocalCoeffs,&m_localToGlobalMap[0],1)+1;
718  m_numGlobalBndCoeffs = globalId;
719 
720  /**
721  * STEP 5: The boundary condition mapping is generated from the
722  * same vertex renumbering and fill in a unique interior map.
723  */
724  cnt=0;
725  for(i = 0; i < m_numLocalCoeffs; ++i)
726  {
727  if(m_localToGlobalMap[i] == -1)
728  {
729  m_localToGlobalMap[i] = globalId++;
730  }
731  else
732  {
733  if(m_signChange)
734  {
735  m_localToGlobalBndSign[cnt]=m_localToGlobalSign[i];
736  }
737  m_localToGlobalBndMap[cnt++]=m_localToGlobalMap[i];
738  }
739  }
740  m_numGlobalCoeffs = globalId;
741 
742  // Set up the local to global map for the next level when using
743  // multi-level static condensation
744  if( m_session->MatchSolverInfoAsEnum("GlobalSysSoln", MultiRegions::eDirectMultiLevelStaticCond) )
745  {
746  if (m_staticCondLevel < (bottomUpGraph->GetNlevels()-1))
747  {
748  Array<OneD, int> vwgts_perm(
749  Dofs[0].size()+Dofs[1].size()-firstNonDirGraphVertId);
750  for(i = 0; i < locExpVector.size(); ++i)
751  {
752  locExpansion = locExpVector[i]
753  ->as<StdRegions::StdExpansion2D>();
754  for(j = 0; j < locExpansion->GetNverts(); ++j)
755  {
756  meshEdgeId = (locExpansion
757  ->as<LocalRegions::Expansion2D>()
758  ->GetGeom2D())->GetEid(j);
759  meshVertId = (locExpansion
760  ->as<LocalRegions::Expansion2D>()
761  ->GetGeom2D())->GetVid(j);
762 
763  if(ReorderedGraphVertId[0][meshVertId] >=
764  firstNonDirGraphVertId)
765  {
766  vwgts_perm[ReorderedGraphVertId[0][meshVertId]-
767  firstNonDirGraphVertId] =
768  Dofs[0][meshVertId];
769  }
770 
771  if(ReorderedGraphVertId[1][meshEdgeId] >=
772  firstNonDirGraphVertId)
773  {
774  vwgts_perm[ReorderedGraphVertId[1][meshEdgeId]-
775  firstNonDirGraphVertId] =
776  Dofs[1][meshEdgeId];
777  }
778  }
779  }
780 
781  bottomUpGraph->ExpandGraphWithVertexWeights(vwgts_perm);
782 
783  m_nextLevelLocalToGlobalMap = MemoryManager<AssemblyMap>::
784  AllocateSharedPtr(this,bottomUpGraph);
785  }
786  }
787  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::MultiRegions::AssemblyMap::m_systemSingular
bool m_systemSingular
Flag indicating if the system is singular or not.
Definition: AssemblyMap.h:322
Nektar::MultiRegions::AssemblyMap::m_signChange
bool m_signChange
Flag indicating if modes require sign reversal.
Definition: AssemblyMap.h:347
Nektar::MultiRegions::AssemblyMapCG::AssemblyMapCG
AssemblyMapCG(const LibUtilities::SessionReaderSharedPtr &pSession, const std::string variable="DefaultVar")
Default constructor.
Definition: AssemblyMapCG.cpp:72
Nektar::MultiRegions::AssemblyMap::m_numGlobalBndCoeffs
int m_numGlobalBndCoeffs
Total number of global boundary coefficients.
Definition: AssemblyMap.h:316
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Vmath::Vmax
T Vmax(int n, const T *x, const int incx)
Return the maximum element in x – called vmax to avoid conflict with max.
Definition: Vmath.cpp:779
Nektar::MultiRegions::AssemblyMapCG::CreateGraph
int CreateGraph(const ExpList &locExp, const BndCondExp &bndCondExp, const Array< OneD, const BndCond > &bndConditions, const bool checkIfSystemSingular, const PeriodicMap &periodicVerts, const PeriodicMap &periodicEdges, const PeriodicMap &periodicFaces, DofGraph &graph, BottomUpSubStructuredGraphSharedPtr &bottomUpGraph, std::set< int > &extraDirVerts, std::set< int > &extraDirEdges, int &firstNonDirGraphVertId, int &nExtraDirichlet, int mdswitch=1)
Definition: AssemblyMapCG.cpp:81
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::MultiRegions::BottomUpSubStructuredGraphSharedPtr
boost::shared_ptr< BottomUpSubStructuredGraph > BottomUpSubStructuredGraphSharedPtr
Definition: SubStructuredGraph.h:60
Nektar::MultiRegions::AssemblyMap::m_numLocalCoeffs
int m_numLocalCoeffs
Total number of local coefficients.
Definition: AssemblyMap.h:333
Nektar::LocalRegions::ExpansionVector
std::vector< ExpansionSharedPtr > ExpansionVector
Definition: Expansion.h:70
Nektar::MultiRegions::AssemblyMapCG::m_localToGlobalMap
Array< OneD, int > m_localToGlobalMap
Integer map of local coeffs to global space.
Definition: AssemblyMapCG.h:115
Nektar::MultiRegions::AssemblyMap::m_nextLevelLocalToGlobalMap
AssemblyMapSharedPtr m_nextLevelLocalToGlobalMap
Map from the patches of the previous level to the patches of the current level.
Definition: AssemblyMap.h:397
Nektar::StdRegions::StdExpansion2DSharedPtr
boost::shared_ptr< StdExpansion2D > StdExpansion2DSharedPtr
Definition: StdExpansion2D.h:203
Nektar::LocalRegions::SegExpSharedPtr
boost::shared_ptr< SegExp > SegExpSharedPtr
Definition: SegExp.h:270
Nektar::NekConstants::kNekZeroTol
static const NekDouble kNekZeroTol
Definition: NektarUnivConsts.hpp:51
Nektar::MultiRegions::AssemblyMap::m_numLocalBndCoeffsPerPatch
Array< OneD, unsigned int > m_numLocalBndCoeffsPerPatch
The number of bnd dofs per patch.
Definition: AssemblyMap.h:390
Nektar::MultiRegions::AssemblyMap::m_numGlobalDirBndCoeffs
int m_numGlobalDirBndCoeffs
Number of Global Dirichlet Boundary Coefficients.
Definition: AssemblyMap.h:320
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::MultiRegions::AssemblyMap::m_numLocalIntCoeffsPerPatch
Array< OneD, unsigned int > m_numLocalIntCoeffsPerPatch
The number of int dofs per patch.
Definition: AssemblyMap.h:392
Nektar::MultiRegions::PeriodicMap
std::map< int, std::vector< PeriodicEntity > > PeriodicMap
Definition: MultiRegions.hpp:201
Nektar::MultiRegions::AssemblyMap::m_localToGlobalBndMap
Array< OneD, int > m_localToGlobalBndMap
Integer map of local boundary coeffs to global space.
Definition: AssemblyMap.h:350
Nektar::MultiRegions::AssemblyMap::m_numLocalDirBndCoeffs
int m_numLocalDirBndCoeffs
Number of Local Dirichlet Boundary Coefficients.
Definition: AssemblyMap.h:318
Nektar::MultiRegions::AssemblyMap::m_bndCondCoeffsToGlobalCoeffsMap
Array< OneD, int > m_bndCondCoeffsToGlobalCoeffsMap
Integer map of bnd cond coeffs to global coefficients.
Definition: AssemblyMap.h:354
Nektar::iterator
StandardMatrixTag boost::call_traits< LhsDataType >::const_reference rhs typedef NekMatrix< LhsDataType, StandardMatrixTag >::iterator iterator
Definition: MatrixOperations.cpp:96
Nektar::MultiRegions::AssemblyMap::m_numLocalBndCoeffs
int m_numLocalBndCoeffs
Number of local boundary coefficients.
Definition: AssemblyMap.h:314
Nektar::MultiRegions::AssemblyMap::m_staticCondLevel
int m_staticCondLevel
The level of recursion in the case of multi-level static condensation.
Definition: AssemblyMap.h:386
Nektar::MultiRegions::AssemblyMap::m_localToGlobalBndSign
Array< OneD, NekDouble > m_localToGlobalBndSign
Integer sign of local boundary coeffs to global space.
Definition: AssemblyMap.h:352
Nektar::MultiRegions::AssemblyMapCG::m_localToGlobalSign
Array< OneD, NekDouble > m_localToGlobalSign
Integer sign of local coeffs to global space.
Definition: AssemblyMapCG.h:117
Nektar::SpatialDomains::Geometry1DSharedPtr
boost::shared_ptr< Geometry1D > Geometry1DSharedPtr
Definition: Geometry1D.h:48
Nektar::MultiRegions::AssemblyMap::m_session
LibUtilities::SessionReaderSharedPtr m_session
Session object.
Definition: AssemblyMap.h:305
Nektar::CoupledLocalToGlobalC0ContMap::FindEdgeIdToAddMeanPressure
void FindEdgeIdToAddMeanPressure(std::vector< std::map< int, int > > &ReorderedGraphVertId, int &nel, const LocalRegions::ExpansionVector &locExpVector, int &edgeId, int &vertId, int &firstNonDirGraphVertId, std::map< int, int > &IsDirEdgeDof, MultiRegions::BottomUpSubStructuredGraphSharedPtr &bottomUpGraph, Array< OneD, int > &AddMeanPressureToEdgeId)
Definition: CoupledLocalToGlobalC0ContMap.cpp:791
Nektar::MultiRegions::AssemblyMap::m_numGlobalCoeffs
int m_numGlobalCoeffs
Total number of global coefficients.
Definition: AssemblyMap.h:344
Nektar::MultiRegions::DeterminePeriodicEdgeOrientId
pair< int, StdRegions::Orientation > DeterminePeriodicEdgeOrientId(int meshEdgeId, StdRegions::Orientation edgeOrient, const vector< PeriodicEntity > &periodicEdges)
Determine orientation of an edge to its periodic equivalents, as well as the ID of the representative...
Definition: AssemblyMapCG.cpp:2074
Nektar::LocalRegions::Expansion1DSharedPtr
boost::shared_ptr< Expansion1D > Expansion1DSharedPtr
Definition: Expansion1D.h:53
Nektar::MultiRegions::AssemblyMap::m_numPatches
int m_numPatches
The number of patches (~elements) in the current level.
Definition: AssemblyMap.h:388

Member Function Documentation

void Nektar::CoupledLocalToGlobalC0ContMap::FindEdgeIdToAddMeanPressure ( std::vector< std::map< int, int > > &  ReorderedGraphVertId,
int &  nel,
const LocalRegions::ExpansionVector &  locExpVector,
int &  edgeId,
int &  vertId,
int &  firstNonDirGraphVertId,
std::map< int, int > &  IsDirEdgeDof,
MultiRegions::BottomUpSubStructuredGraphSharedPtr &  bottomUpGraph,
Array< OneD, int > &  AddMeanPressureToEdgeId 
)

Definition at line 791 of file CoupledLocalToGlobalC0ContMap.cpp.

References Nektar::iterator.

Referenced by CoupledLocalToGlobalC0ContMap().

796 {
797 
798  int i,j,k;
799 
800  // Make list of homogeneous graph edges to elmt mappings
801  Array<TwoD, int> EdgeIdToElmts(ReorderedGraphVertId[1].size(),2,-1);
802  map<int,int> HomGraphEdgeIdToEdgeId;
803 
804  for(i = 0; i < nel; ++i)
805  {
806  for(j = 0; j < locExpVector[i]->GetNverts(); ++j)
807  {
808  edgeId = (locExpVector[i]->as<LocalRegions::Expansion2D>()
809  ->GetGeom2D())->GetEid(j);
810 
811  // note second condition stops us using mixed boundary condition
812  if((ReorderedGraphVertId[1][edgeId] >= firstNonDirGraphVertId)
813  && (IsDirEdgeDof.count(edgeId) == 0))
814  {
815  HomGraphEdgeIdToEdgeId[ReorderedGraphVertId[1][edgeId]-firstNonDirGraphVertId] = edgeId;
816 
817  if(EdgeIdToElmts[edgeId][0] == -1)
818  {
819  EdgeIdToElmts[edgeId][0] = i;
820  }
821  else
822  {
823  EdgeIdToElmts[edgeId][1] = i;
824  }
825  }
826  }
827  }
828 
829 
830  map<int,int>::iterator mapIt;
831 
832  // Start at second to last level and find edge on boundary
833  // to attach element
834  int nlevels = bottomUpGraph->GetNlevels();
835 
836  // determine a default edge to attach pressure modes to
837  // which is part of the inner solve;
838  int defedge = -1;
839 
840  vector<MultiRegions::SubGraphSharedPtr> bndgraphs = bottomUpGraph->GetInteriorBlocks(nlevels);
841  for(i = 0; i < bndgraphs.size(); ++i)
842  {
843  int GlobIdOffset = bndgraphs[i]->GetIdOffset();
844 
845  for(j = 0; j < bndgraphs[i]->GetNverts(); ++j)
846  {
847  // find edge in graph vert list
848  if(HomGraphEdgeIdToEdgeId.count(GlobIdOffset+j) != 0)
849  {
850  edgeId = HomGraphEdgeIdToEdgeId[GlobIdOffset+j];
851 
852  if(defedge == -1)
853  {
854  defedge = edgeId;
855  break;
856  }
857  }
858  }
859  if(defedge != -1)
860  {
861  break;
862  }
863  }
864 
865  for(int n = 1; n < nlevels; ++n)
866  {
867  // produce a map with a key that is the element id
868  // that contains which next level patch it belongs to
869  vector<MultiRegions::SubGraphSharedPtr> bndgraphs = bottomUpGraph->GetInteriorBlocks(n+1);
870 
871  // Fill next level graph of adjacent elements and their level
872  map<int,int> ElmtInBndry;
873 
874  for(i = 0; i < bndgraphs.size(); ++i)
875  {
876  int GlobIdOffset = bndgraphs[i]->GetIdOffset();
877 
878  for(j = 0; j < bndgraphs[i]->GetNverts(); ++j)
879  {
880  // find edge in graph vert list
881  if(HomGraphEdgeIdToEdgeId.count(GlobIdOffset+j) != 0)
882  {
883  edgeId = HomGraphEdgeIdToEdgeId[GlobIdOffset+j];
884 
885  if(EdgeIdToElmts[edgeId][0] != -1)
886  {
887  ElmtInBndry[EdgeIdToElmts[edgeId][0]] = i;
888  }
889  if(EdgeIdToElmts[edgeId][1] != -1)
890  {
891  ElmtInBndry[EdgeIdToElmts[edgeId][1]] = i;
892  }
893  }
894  }
895  }
896 
897  // Now search interior patches in this level for edges
898  // that share the same element as a boundary edge and
899  // assign this elmt that boundary edge
900  vector<MultiRegions::SubGraphSharedPtr> intgraphs = bottomUpGraph->GetInteriorBlocks(n);
901  for(i = 0; i < intgraphs.size(); ++i)
902  {
903  int GlobIdOffset = intgraphs[i]->GetIdOffset();
904  bool SetEdge = false;
905  int elmtid = 0;
906  for(j = 0; j < intgraphs[i]->GetNverts(); ++j)
907  {
908  // Check to see if graph vert is an edge
909  if(HomGraphEdgeIdToEdgeId.count(GlobIdOffset+j) != 0)
910  {
911  edgeId = HomGraphEdgeIdToEdgeId[GlobIdOffset+j];
912 
913  for(k = 0; k < 2; ++k)
914  {
915  // relevant edge id
916  elmtid = EdgeIdToElmts[edgeId][k];
917 
918  if(elmtid != -1)
919  {
920  mapIt = ElmtInBndry.find(elmtid);
921 
922  if(mapIt != ElmtInBndry.end())
923  {
924  // now find a edge in the next level boundary graph
925  int GlobIdOffset1 = bndgraphs[mapIt->second]->GetIdOffset();
926  for(int l = 0; l < bndgraphs[mapIt->second]->GetNverts(); ++l)
927  {
928  // find edge in graph vert list
929  if(HomGraphEdgeIdToEdgeId.count(GlobIdOffset1+l) != 0)
930  {
931  //June 2012: commenting this condition apparently
932  //solved the bug caused by the edge reordering procedure
933 
934  //if(AddMeanPressureToEdgeId[elmtid] == -1)
935  //{
936 
937  //AddMeanPressureToEdgeId[elmtid] = HomGraphEdgeIdToEdgeId[GlobIdOffset1+l];
938  AddMeanPressureToEdgeId[elmtid] = defedge;
939 
940  //}
941  SetEdge = true;
942  break;
943  }
944  }
945  }
946  }
947  }
948  }
949  }
950 
951 
952  // if we have failed to find matching edge in next
953  // level patch boundary then set last found elmt
954  // associated to this interior patch to the
955  // default edget value
956  if(SetEdge == false)
957  {
958  if(elmtid == -1) // find an elmtid in patch
959  {
960  for(j = 0; j < intgraphs[i]->GetNverts(); ++j)
961  {
962  if(HomGraphEdgeIdToEdgeId.count(GlobIdOffset+j) != 0)
963  {
964  edgeId = HomGraphEdgeIdToEdgeId[GlobIdOffset+j];
965  for(k = 0; k < 2; ++k)
966  {
967  // relevant edge id
968  elmtid = EdgeIdToElmts[edgeId][k];
969  if(elmtid != -1)
970  {
971  break;
972  }
973  }
974  }
975  if(elmtid != -1)
976  {
977  break;
978  }
979  }
980  }
981  if(AddMeanPressureToEdgeId[elmtid] == -1)
982  {
983  AddMeanPressureToEdgeId[elmtid] = defedge;
984  }
985  }
986  }
987  }
988 
989 }
Nektar::iterator
StandardMatrixTag boost::call_traits< LhsDataType >::const_reference rhs typedef NekMatrix< LhsDataType, StandardMatrixTag >::iterator iterator
Definition: MatrixOperations.cpp:96
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