Fluid-structure partitioned procedures based on Robin transmission conditions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:227

Article

Badia, Santiago¹  Nobile, Fabio²  Vergara, Christian^2,3 

[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

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

DOI  :  10.1016/j.jcp.2008.04.006

来源: Elsevier

【 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.

【 授权许可】

Free