Fluid-structure interaction and multi-body contact: Application to aortic valves

Fluid-structure interaction and multi-body contact: Application to aortic valves
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DOI:
10.1016/j.cma.2008.09.012
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发表时间:
2009-01-01
影响因子:
7.2
通讯作者:
Traore, Karim-Frederic
Traore, Karim-Frederic
中科院分区:
工程技术1区
文献类型:
--
作者:
Astorino, Matteo;Gerbeau, Jean-Frederic;Traore, Karim-Frederic

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在这篇文章中,我们提出了一个分区的过程中,不同的变形体之间的接触可能发生的流固耦合问题。典型的情况是浸没在不可压缩的粘性流体(例如血液)中的薄瓣膜(例如主动脉瓣)的运动。在所提出的策略中,流体和结构求解器被认为是独立的“黑箱”,交换力和位移;结构求解器也不应该自己管理接触。实体之间的非穿透假设定义了一个非凸优化问题。为了解决后者,我们使用内部近似算法,能够直接处理薄结构和自接触的情况。最后对理想主动脉瓣进行了数值模拟,以说明所提出的方案。(C)2008 Elsevier B. V.保留所有权利。
In this article, we present a partitioned procedure for fluid-structure interaction problems in which contacts among different deformable bodies can occur. A typical situation is the movement of a thin valve (e.g. the aortic valve) immersed in an incompressible viscous fluid (e.g. the blood). In the proposed strategy the fluid and structure solvers are considered as independent "black-boxes" that exchange forces and displacements; the structure solvers are moreover not supposed to manage contact by themselves. The hypothesis of non-penetration among solid objects defines a non-convex optimization problem. To solve the latter, we use an internal approximation algorithm that is able to directly handle the cases of thin structures and self-contacts. A numerical simulation on an idealized aortic valve is finally realized with the aim of illustrating the proposed scheme. (C) 2008 Elsevier B.V. All rights reserved.