Fluid-structure partitioned procedures based on Robin transmission conditions

被引：207

作者：

Badia, Santiago ^{[1
]}

Nobile, Fabio ^{[2
]}

Vergara, Christian ^{[2
,3
]}

机构：

[1] Univ Politecn Cataluna, CIMNE, ES-08034 Barcelona, Spain

[2] Politecn Milan, MOX, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

[3] Univ Bergamo, Dept Informat Technol & Math Methods, I-24044 Dalmine, BG, Italy

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 14期

关键词：

fluid-structure interaction; partitioned procedures; transmission conditions; Robin boundary conditions; added-mass effect; hemodynamics;

D O I：

10.1016/j.jcp.2008.04.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article we design new partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions. The choice of the coefficient in the Robin conditions is justified via simplified models. The strategy is effective whenever an incompressible fluid interacts with a relatively thin membrane, as in hemodynamics applications. We analyze theoretically the new iterative procedures on a model problem, which represents a simplified blood-vessel system. In particular, the Robin-Neumann scheme exhibits enhanced convergence properties with respect to the existing partitioned procedures. The theoretical results are checked using numerical experimentation. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：7027 / 7051

页数：25

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