Robin boundary conditions are a natural consequence of employing Nitsche's method for imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI schemes based on Dirichlet-Robin or Robin-Robin coupling have been demonstrated to improve the stability of such schemes with respect to added-mass. This paper aims to offer some numerical insights into the performance characteristics of such loosely-coupled FSI schemes based on Robin boundary conditions. Using numerical examples, we demonstrate that the improved stability due to the added damping term is actually at the expense of important dynamic characteristics of the structural sub-problem.

翻译：Robin边界条件是使用Nitsche在液体-固体界面上施加运动速度限制的方法的自然结果。基于Drichlet-Robin或Robin-Robin结合的松散的FSI计划已证明可以提高这种计划在附加质量方面的稳定性。本文件旨在从数字上深入了解这种基于Robin边界条件的松散的FSI计划的性能特点。我们以数字为例,证明由于添加了障碍期而改善的稳定实际上牺牲了结构子问题的重要动态特征。