A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d
Abstract
We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fluid, the exterior linear wave equation for the fluid is reduced to an integral equation on the boundary involving the Poincar\'{e}-Steklov operator. The resulting problem is solved using a Galerkin boundary element method in the time domain, coupled to a finite element method for the Lam\'{e} equation inside the elastic body. Based on ideas from the time-independent coupling formulation, we obtain an a priori error estimate and discuss the implementation of the proposed method. Numerical experiments illustrate the performance of our scheme for model problems.
Cite
@article{arxiv.2008.04299,
title = {A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d},
author = {Heiko Gimperlein and Ceyhun Oezdemir and Ernst P. Stephan},
journal= {arXiv preprint arXiv:2008.04299},
year = {2020}
}
Comments
26 pages, 5 figures