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Nektar::coupledSolverMatrices Struct Reference

#include <CoupledLinearNS.h>

Public Attributes

DNekScalBlkMatSharedPtr m_BCinv
 Boundary-interior Laplacian plus linearised convective terms pre-multiplying Cinv: $ m\_BCinv[n,m] = (\nabla \phi^b_n, \nu \nabla \phi^i_j) + (\phi^b_n,{\bf U \cdot \nabla} \phi^i_j) + (\phi^b_n \nabla^T {\bf U} \phi^i_j) m_Cinv[j,m]$. More...
 
DNekScalBlkMatSharedPtr m_Btilde
 Interior-boundary Laplacian plus linearised convective terms $ m\_Btilde^T[n,m] = (\nabla \phi^i_n, \nu \nabla \phi^b_m) + (\phi^i_n,{\bf U \cdot \nabla} \phi^b_m) + (\phi^i_n \nabla^T {\bf U} \phi^b_m) $. More...
 
DNekScalBlkMatSharedPtr m_Cinv
 Interior-Interior Laplaican plus linearised convective terms inverted, i.e. the inverse of $ m\_C[n,m] = (\nabla \phi^i_n, \nu \nabla \phi^i_m) + (\phi^i_n,{\bf U \cdot \nabla} \phi^i_m) + (\phi^i_n \nabla^T {\bf U} \phi^i_m),$. More...
 
DNekScalBlkMatSharedPtr m_D_bnd
 Inner product of pressure system with divergence of the boundary velocity space $ m\_D\_{bnd}[n,m] = (\psi_n,\nabla \phi^b_m),$. More...
 
DNekScalBlkMatSharedPtr m_D_int
 Inner product of pressure system with divergence of the interior velocity space $ m\_D\_{int}[n,m] = (\psi_j,\nabla \phi^i_m) $. More...
 
MultiRegions::GlobalLinSysSharedPtr m_CoupledBndSys
 

Detailed Description

Definition at line 51 of file CoupledLinearNS.h.

Member Data Documentation

DNekScalBlkMatSharedPtr Nektar::coupledSolverMatrices::m_BCinv

Boundary-interior Laplacian plus linearised convective terms pre-multiplying Cinv: $ m\_BCinv[n,m] = (\nabla \phi^b_n, \nu \nabla \phi^i_j) + (\phi^b_n,{\bf U \cdot \nabla} \phi^i_j) + (\phi^b_n \nabla^T {\bf U} \phi^i_j) m_Cinv[j,m]$.

Definition at line 59 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().

DNekScalBlkMatSharedPtr Nektar::coupledSolverMatrices::m_Btilde

Interior-boundary Laplacian plus linearised convective terms $ m\_Btilde^T[n,m] = (\nabla \phi^i_n, \nu \nabla \phi^b_m) + (\phi^i_n,{\bf U \cdot \nabla} \phi^b_m) + (\phi^i_n \nabla^T {\bf U} \phi^b_m) $.

Definition at line 65 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().

DNekScalBlkMatSharedPtr Nektar::coupledSolverMatrices::m_Cinv

Interior-Interior Laplaican plus linearised convective terms inverted, i.e. the inverse of $ m\_C[n,m] = (\nabla \phi^i_n, \nu \nabla \phi^i_m) + (\phi^i_n,{\bf U \cdot \nabla} \phi^i_m) + (\phi^i_n \nabla^T {\bf U} \phi^i_m),$.

Definition at line 72 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().

MultiRegions::GlobalLinSysSharedPtr Nektar::coupledSolverMatrices::m_CoupledBndSys

Definition at line 86 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().

DNekScalBlkMatSharedPtr Nektar::coupledSolverMatrices::m_D_bnd

Inner product of pressure system with divergence of the boundary velocity space $ m\_D\_{bnd}[n,m] = (\psi_n,\nabla \phi^b_m),$.

Definition at line 78 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().

DNekScalBlkMatSharedPtr Nektar::coupledSolverMatrices::m_D_int

Inner product of pressure system with divergence of the interior velocity space $ m\_D\_{int}[n,m] = (\psi_j,\nabla \phi^i_m) $.

Definition at line 84 of file CoupledLinearNS.h.

Referenced by Nektar::CoupledLinearNS::SetUpCoupledMatrix().