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. 1991 Mathematics Subject Classification. 35Q30, 65M12… (More)

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Cite this paper

@inproceedings{Legendre2008ConvergenceOA, title={Convergence of a Lagrange–Galerkin method for a fluid-rigid body system in ALE formulation}, author={Guillaume Legendre and Tak{\'e}o Takahashi}, year={2008} }