We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of second order based on backward differentiation formulae and on the Crank–Nicolson method. We show the stability properties of the resulting method; numerical tests confirm the theoretical results.
|Original language||English (US)|
|Number of pages||24|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|State||Published - Jul 30 2020|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The first and the second authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR and by PRIN and by MIUR.