Coupling of finite element and boundary integral methods for a capsule in a Stokes flow
Coupling of finite element and boundary integral methods for a capsule in a Stokes flow
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DOI：
10.1002/nme.2859
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发表时间：
2010-08-13
影响因子：
2.9
通讯作者：
Le Tallec, P.
中科院分区：
文献类型：
--
作者：
Walter, J.;Salsac, A. -V.;Le Tallec, P.
我们介绍了一种新的数值方法来模拟微胶囊和外部流动之间的流体结构相互作用。一个显式有限元方法被用来模拟胶囊壁的大变形，这是作为一个二维超弹性膜处理。它是耦合的边界积分方法来解决内部和外部的斯托克斯流。我们的研究结果进行了比较，与以前的研究在两个经典的测试情况下：胶囊在一个简单的剪切流和平面双曲流。该方法被发现是数值稳定的，即使当膜进行面内压缩，这已被证明是一个不稳定的因素，为其他方法。计算结果与文献值吻合得很好。当粘性力相对于膜弹性力增加时，两种流动情况下都存在三种状态。我们的方法允许一个精确的表征的关键参数的过渡。版权所有（C）2010约翰威利父子有限公司
We introduce a new numerical method to model the fluid structure interaction between a microcapsule and an external flow. An explicit finite element method is used to model the large deformation of the capsule wall, which is treated as a bidimensional hyperelastic membrane. It is coupled with a boundary integral method to solve for the internal and external Stokes flows. Our results are compared with previous studies in two classical test cases: a capsule in a simple shear flow and in a planar hyperbolic flow. The method is found to be numerically stable, even when the membrane undergoes in-plane compression, which had been shown to be a destabilizing factor for other methods. The results are in very good agreement with the literature. When the viscous forces are increased with respect to the membrane elastic forces, three regimes are found for both flow cases. Our method allows a precise characterization of the critical parameters governing the transitions. Copyright (C) 2010 John Wiley & Sons, Ltd.