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

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. © 2008 EDP Sciences SMAI.