| Issue |
ESAIM: M2AN
Volume 42, Number 4, July-August 2008
|
|
|---|---|---|
| Page(s) | 609 - 644 | |
| DOI | https://doi.org/10.1051/m2an:2008020 | |
| Published online | 05 June 2008 | |
Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
1
Centro de Modelamiento Matemático
– FONDAP, UMI 2807 CNRS-Universidad de Chile, Casilla 170 – Correo
3, Santiago, Chile. glegendre@dim.uchile.cl. : CEREMADE, UMR CNRS 7534, Université de Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France.
2
Institut de Mathématiques Élie Cartan de Nancy, Université de Nancy-CNRS-INRIA, BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France. takeo.takahashi@iecn.u-nancy.fr
Received:
19
April
2007
Revised:
22
November
2007
We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.
Mathematics Subject Classification: 35Q30 / 65M12 / 76D05 / 76M10
Key words: Fluid-structure interaction / incompressible Navier-Stokes equations / arbitrary Lagrangian Eulerian / Lagrange-Galerkin method.
© EDP Sciences, SMAI, 2008
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