Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis
Numerical Analysis
2020-07-10 v1 Numerical Analysis
Abstract
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 which 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.
Keywords
Cite
@article{arxiv.2007.04699,
title = {Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis},
author = {Michele Annese and Miguel A. Fernández and Lucia Gastaldi},
journal= {arXiv preprint arXiv:2007.04699},
year = {2020}
}