Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems.

Matteo Astorino 1 Céline Grandmont 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : In this paper, we provide a convergence analysis of a projection semi- implicit scheme for the simulation of fluid-structure systems involving an incom- pressible viscous fluid. The error analysis is performed on a fully discretized linear coupled problem: a finite element approximation and a semi-implicit time-stepping strategy are respectively used for space and time discretization. The fluid is described by the Stokes equations, the structure by the classical linear elastodynamics equations (linearized elasticity, plate or shell models) and all changes of geometry are neglected. We derive an error estimate in finite time and we prove that the time discretization error of the coupling scheme is of order 1/2. Finally, some numerical experiments that confirm the theoretical analysis are presented.
Type de document :
Article dans une revue
Numerische Mathematik, Springer Verlag, 2010, 116 (4), pp.721-767. 〈10.1007/s00211-010-0311-x〉
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https://hal.inria.fr/hal-00860416
Contributeur : Celine Grandmont <>
Soumis le : mardi 10 septembre 2013 - 15:37:48
Dernière modification le : vendredi 25 mai 2018 - 12:02:04

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Matteo Astorino, Céline Grandmont. Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems.. Numerische Mathematik, Springer Verlag, 2010, 116 (4), pp.721-767. 〈10.1007/s00211-010-0311-x〉. 〈hal-00860416〉

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