Generalized Robin–Neumann explicit coupling schemes for incompressible fluid‐structure interaction: Stability analysis and numerics
Generalized Robin–Neumann explicit coupling schemes for incompressible fluid‐structure interaction: Stability analysis and numerics
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不可压缩流固耦合的广义 Robin-Neumann 显式耦合方案：稳定性分析和数值
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发表时间：
2015
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通讯作者：
M. Vidrascu
中科院分区：
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作者：
M. Fernández;Jimmy Mullaert;M. Vidrascu
介绍了一类新的显式耦合格式，用于求解粘性不可压缩流体和弹性结构的流固耦合问题。这些方法概括了[Comput.方法应用机械工程，267：566-593，2013，Numer.数学、123（1）：21-65，2013]到与厚壁结构耦合的情况。其基本思想在于在空间半离散水平上使用结构中的集中质量近似来推导本征界面Robin一致性。然后通过对界面上的固体速度和应力进行适当的外推来进行流固分裂。在此基础上，提出了一种新的无参数Robin-Neumann迭代法求解隐式耦合问题。先验能量估计，保证计划的稳定性和迭代过程的收敛性，建立在一个有代表性的线性设置。几个数值例子的方法的精度和性能进行了说明。版权所有© 2014约翰威利父子有限公司.
We introduce a new class of explicit coupling schemes for the numerical solution of fluid‐structure interaction problems involving a viscous incompressible fluid and an elastic structure. These methods generalize the arguments reported in [Comput. Methods Appl. Mech. Engrg., 267:566–593, 2013, Numer. Math., 123(1):21–65, 2013] to the case of the coupling with thick‐walled structures. The basic idea lies in the derivation of an intrinsic interface Robin consistency at the space semi‐discrete level, using a lumped‐mass approximation in the structure. The fluid–solid splitting is then performed through appropriate extrapolations of the solid velocity and stress on the interface. Based on these methods, a new, parameter‐free, Robin–Neumann iterative procedure is also proposed for the partitioned solution of implicit coupling. A priori energy estimates, guaranteeing the stability of the schemes and the convergence of the iterative procedure, are established within a representative linear setting. The accuracy and performance of the methods are illustrated in several numerical examples. Copyright © 2014 John Wiley & Sons, Ltd.