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

By Guillaume Legendre and Takéo Takahashi


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

Topics: Fluid-structure interaction, incompressible Navier-Stokes equations, arbitrary Lagrangian Eulerian, Lagrange-Galerkin method.
Publisher: EDP Sciences
Year: 2008
DOI identifier: 10.1051/m2an:2008020
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