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Convergence of a Lagrange-Galerkin methodfor a fluid-rigid body system in ALE formulation

Published online by Cambridge University Press:  05 June 2008

Guillaume Legendre  and
Takéo Takahashi
Guillaume Legendre
Affiliation:
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.
Takéo Takahashi
Affiliation:
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
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Abstract

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.

Keywords

Fluid-structure interactionincompressible Navier-Stokes equationsarbitrary Lagrangian EulerianLagrange-Galerkin method.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 4 , July 2008 , pp. 609 - 644
Copyright
© EDP Sciences, SMAI, 2008

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