We consider a loosely-coupled algorithm for fluid-structure interaction based on a Robin interface condition for the fluid problem (explicit Robin-Neumann scheme). We study the dependence of the stability of this method on the interface parameter in the Robin condition. In particular, for a model problem we find sufficient conditions for instability and stability of the method. In the latter case, we find a stability condition relating the time discretization parameter, the interface parameter, and the fluid and structure densities. Numerical experiments confirm the theoretical findings and highlight optimal choices of the interface parameter that guarantee accurate solutions.

(2021). On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction [journal article - articolo]. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. Retrieved from http://hdl.handle.net/10446/183489

On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction

Gigante, Giacomo;
2021-01-01

Abstract

We consider a loosely-coupled algorithm for fluid-structure interaction based on a Robin interface condition for the fluid problem (explicit Robin-Neumann scheme). We study the dependence of the stability of this method on the interface parameter in the Robin condition. In particular, for a model problem we find sufficient conditions for instability and stability of the method. In the latter case, we find a stability condition relating the time discretization parameter, the interface parameter, and the fluid and structure densities. Numerical experiments confirm the theoretical findings and highlight optimal choices of the interface parameter that guarantee accurate solutions.
articolo
2021
Gigante, Giacomo; Vergara, Christian
(2021). On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction [journal article - articolo]. In COMPUTERS & MATHEMATICS WITH APPLICATIONS. Retrieved from http://hdl.handle.net/10446/183489
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/183489
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