Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement

JOURNAL OF COMPUTATIONAL PHYSICS

卷:235

Article

Bukac, Martina¹  Canic, Suncica¹  Glowinski, Roland^1,2  Tambaca, Josip³  Quaini, Annalisa¹ 

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75005 Paris, France

[3] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

关键词: Fluid-structure interaction;    Loosely coupled scheme;    Blood flow;   

DOI  :  10.1016/j.jcp.2012.08.033

来源: Elsevier

【 摘 要 】

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement. Arterial walls are modeled by a linearly viscoelastic, cylindrical Koiter shell model capturing both radial and longitudinal displacement. Fluid flow is modeled by the Navier-Stokes equations for an incompressible, viscous fluid. The two are fully coupled via kinematic and dynamic coupling conditions. Our numerical scheme is based on a new modified Lie operator splitting that decouples the fluid and structure sub-problems in a way that leads to a loosely coupled scheme which is unconditionally stable. This was achieved by a clever use of the kinematic coupling condition at the fluid and structure sub-problems, leading to an implicit coupling between the fluid and structure velocities. The proposed scheme is a modification of the recently introduced kinematically coupled scheme for which the newly proposed modified Lie splitting significantly increases the accuracy. The performance and accuracy of the scheme were studied on a couple of instructive examples including a comparison with a monolithic scheme. It was shown that the accuracy of our scheme was comparable to that of the monolithic scheme, while our scheme retains all the main advantages of partitioned schemes, such as modularity, simple implementation, and low computational costs. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free