Optimization-Based Decoupling Algorithms for a Fluid-Poroelastic System
Optimization-Based Decoupling Algorithms for a Fluid-Poroelastic System
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基于优化的流体多孔弹性系统解耦算法
DOI：
10.1007/978-1-4939-6399-7_4
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Son
中科院分区：
文献类型：
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作者：
A. Çesmelioglu;H. Lee;A. Quaini;Kening Wang;Son
本文提出了用于研究自由流体与多孔弹性材料相互作用的Stokes-Biot耦合系统的计算算法。我们采用的解耦策略是将耦合流体-孔弹性系统作为约束优化问题，采用Neumann型控制，强制界面上应力的法向分量的连续性。优化的目标是最小化与其他接口条件的冲突。提出了基于残差更新技术的两种数值算法。当孔隙弹性结构中的流体速度足够光滑时，一个求解最小二乘问题，另一个求解线性问题。这两种算法都产生了约束优化问题的最小值。数值结果验证了所提算法的准确性和有效性。
In this paper, computational algorithms for the Stokes-Biot coupled system are proposed to study the interaction of a free fluid with a poroelastic material. The decoupling strategy we employ is to cast the coupled fluid-poroelastic system as a constrained optimization problem with a Neumann type control that enforces continuity of the normal components of the stress on the interface. The optimization objective is to minimize any violation of the other interface conditions. Two numerical algorithms based on a residual updating technique are presented. One solves a least squares problem and the other solves a linear problem when the fluid velocity in the poroelastic structure is smooth enough. Both algorithms yield the minimizer of the constrained optimization problem. Some numerical results are provided to validate the accuracy and efficiency of the proposed algorithms.