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.
Mots-clés : fluid-structure interaction, incompressible Navier-Stokes equations, arbitrary lagrangian eulerian, Lagrange-Galerkin method
@article{M2AN_2008__42_4_609_0, author = {Legendre, Guillaume and Takahashi, Tak\'eo}, title = {Convergence of a {Lagrange-Galerkin} method for a fluid-rigid body system in {ALE} formulation}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {609--644}, publisher = {EDP-Sciences}, volume = {42}, number = {4}, year = {2008}, doi = {10.1051/m2an:2008020}, mrnumber = {2437776}, zbl = {1142.76032}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/m2an:2008020/} }
TY - JOUR AU - Legendre, Guillaume AU - Takahashi, Takéo TI - Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2008 SP - 609 EP - 644 VL - 42 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an:2008020/ DO - 10.1051/m2an:2008020 LA - en ID - M2AN_2008__42_4_609_0 ER -
%0 Journal Article %A Legendre, Guillaume %A Takahashi, Takéo %T Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation %J ESAIM: Modélisation mathématique et analyse numérique %D 2008 %P 609-644 %V 42 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an:2008020/ %R 10.1051/m2an:2008020 %G en %F M2AN_2008__42_4_609_0
Legendre, Guillaume; Takahashi, Takéo. Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 4, pp. 609-644. doi : 10.1051/m2an:2008020. http://archive.numdam.org/articles/10.1051/m2an:2008020/
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