Perfectly Matched Discrete Layers for Unbounded Domain Modeling

Author(s):  
M.N. Guddati ◽  
K.W. Lim ◽  
M.A. Zahid



1992 ◽  
Vol 267 (2) ◽  
pp. 1190-1197 ◽  
Author(s):  
J P Perentesis ◽  
L D Phan ◽  
W B Gleason ◽  
D C LaPorte ◽  
D M Livingston ◽  
...  




Author(s):  
Mahdi Esmaily Moghadam ◽  
Yuri Bazilevs ◽  
Tain-Yen Hsia ◽  
Alison Marsden

A closed-loop lumped parameter network (LPN) coupled to a 3D domain is a powerful tool that can be used to model the global dynamics of the circulatory system. Coupling a 0D LPN to a 3D CFD domain is a numerically challenging problem, often associated with instabilities, extra computational cost, and loss of modularity. A computationally efficient finite element framework has been recently proposed that achieves numerical stability without sacrificing modularity [1]. This type of coupling introduces new challenges in the linear algebraic equation solver (LS), producing an strong coupling between flow and pressure that leads to an ill-conditioned tangent matrix. In this paper we exploit this strong coupling to obtain a novel and efficient algorithm for the linear solver (LS). We illustrate the efficiency of this method on several large-scale cardiovascular blood flow simulation problems.



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