4.5 Article

Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis

期刊

IMA JOURNAL OF NUMERICAL ANALYSIS
卷 43, 期 2, 页码 881-919

出版社

OXFORD UNIV PRESS
DOI: 10.1093/imanum/drac004

关键词

fluid-structure interaction; immersed thin-walled structure; unfitted mesh; finite element method; Lagrange multiplier; splitting schemes; stability and convergence analysis

向作者/读者索取更多资源

This paper introduces a class of semi-implicit coupling schemes for the numerical approximation of incompressible fluid-structure interaction problems. These schemes avoid strong coupling while maintaining stability and accuracy. The theoretical results are supported by numerical experiments.
The numerical approximation of incompressible fluid-structure interaction problems with Lagrange multiplier is generally based on strongly coupled schemes. This delivers unconditional stability, but at the expense of solving a computationally demanding coupled system at each time step. For the case of the coupling with immersed thin-walled solids, we introduce a class of semi-implicit coupling schemes that avoids strongly coupling without compromising stability and accuracy. A priori energy and error estimates are derived. The theoretical results are illustrated through numerical experiments in an academic benchmark.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.5
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据