A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation
A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation
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DOI：
10.1002/nme.1348
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发表时间：
2005-09
影响因子：
2.9
通讯作者：
D. Ishihara;S. Yoshimura
中科院分区：
文献类型：
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作者：
D. Ishihara;S. Yoshimura
本文提出了一种基于流体压力泊松方程（PPE）求解不可压缩粘性流体与弹性体相互作用问题的整体方法。PPE的推导是为了与流固耦合方程组（FSI）保持一致。基于这种方法，我们开发了两种有效的单片方法。在这两种方法中，流体压力推导隐含，以满足不可压缩性约束，和所有其他未知变量推导完全显式或部分显式。该方程的系数矩阵是对称正定的，且其条件对材料性质的不均匀性不敏感。流体部分采用任意拉格朗日-欧拉（ALE）方法，以考虑可变形的流体-结构界面。为了证明所提出的方法的基本性能，开发的两个整体的方法被施加到评估的附加质量和附加阻尼的圆柱体以及模拟振动的矩形柱诱导涡脱落。版权所有© 2005年约翰威利父子有限公司。
This paper describes a new monolithic approach based on the fluid pressure Poisson equation (PPE) to solve an interaction problem of incompressible viscous fluid and an elastic body. The PPE is derived so as to be consistent with the coupled equation system for the fluid‐structure interaction (FSI). Based on this approach, we develop two kinds of efficient monolithic methods. In both methods, the fluid pressure is derived implicitly so as to satisfy the incompressibility constraint, and all other unknown variables are derived fully explicitly or partially explicitly. The coefficient matrix of the PPE for the FSI becomes symmetric and positive definite and its condition is insensitive to inhomogeneity of material properties. The arbitrary Lagrangian–Eulerian (ALE) method is employed for the fluid part in order to take into account the deformable fluid‐structure interface. To demonstrate fundamental performances of the proposed approach, the developed two monolithic methods are applied to evaluate the added mass and the added damping of a circular cylinder as well as to simulate the vibration of a rectangular cylinder induced by vortex shedding. Copyright © 2005 John Wiley & Sons, Ltd.