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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 48 of file CoupledLinearNS.h.

Member Data Documentation

◆ m_BCinv

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 56 of file CoupledLinearNS.h.

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

◆ m_Btilde

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 62 of file CoupledLinearNS.h.

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

◆ m_Cinv

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 69 of file CoupledLinearNS.h.

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

◆ m_CoupledBndSys

MultiRegions::GlobalLinSysSharedPtr Nektar::coupledSolverMatrices::m_CoupledBndSys

Definition at line 83 of file CoupledLinearNS.h.

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

◆ m_D_bnd

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 75 of file CoupledLinearNS.h.

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

◆ m_D_int

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 81 of file CoupledLinearNS.h.

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