用于流体-多孔弹性结构相互作用问题的全并行松耦合格式
数值分析
2024-09-25 v1 数值分析
摘要
我们研究了在移动域中进行的流体-多孔弹性结构相互作用问题，其由 Navier-Stokes-Biot (NSBiot) 系统 governing. 首先，我们提出一种全并行、松耦合格式来求解耦合系统。在每个时间步中，使用前一时间步的解来近似界面上的耦合条件，使原问题可被完全解耦为独立的流体和结构子问题，这些子问题可并行求解。由于本方法采用松耦合格式，每个时间步无需进行子迭代。接下来，我们对该分裂方法进行能量估计，针对线性问题 (Stokes-Biot 系统)，表明该格式在不受时间步大小限制的情况下具有 unconditional stability。 Furthermore, we illustrate the first-order accuracy in time through two benchmark problems. Finally, to demonstrate that the proposed method maintains its excellent stability properties also for the nonlinear NSBiot system, we present numerical results for both 2D and 3D NSBiot problems related to real-world physical applications.
引用
@article{arxiv.2409.15618,
title = {A Fully Parallelizable Loosely Coupled Scheme for Fluid-Poroelastic Structure Interaction Problems},
author = {Shihan Guo and Yizhong Sun and Yifan Wang and Xiaohe Yue and Haibiao Zheng},
journal= {arXiv preprint arXiv:2409.15618},
year = {2024}
}