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
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.
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