Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/hal-00860416
Contributor : Celine Grandmont <>
Submitted on : Tuesday, September 10, 2013 - 3:37:48 PM
Last modification on : Friday, March 27, 2020 - 3:39:16 AM

Links full text

Identifiers

Citation

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⟩

Share

Metrics

Record views

389