期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 54, 期 5, 页码 3032-3061出版社
SIAM PUBLICATIONS
DOI: 10.1137/16M1055396
关键词
fluid-structure interaction; error estimates; convergence rates; noniterative scheme
资金
- NSF [DMS 1318763, DMS 1619993, NSF DMS 1311709]
- Croatian Science Foundation [9477]
In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction between an incompressible, viscous fluid and a thin, elastic structure. We consider a benchmark problem where the structure is modeled using a general thin structure model, and the coupling between the fluid and structure is linear. We derive the energy estimates associated with the unconditional stability of an extension of the kinematically coupled scheme, called the beta-scheme. Furthermore, for the first time we present a priori estimates showing optimal, first-order in time convergence in the case where beta-1. We further discuss the extensions of our results to other fluid-structure interaction problems, in particular the fluid-thick structure interaction problem. The theoretical stability and convergence results are supported with numerical examples.
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