Geodesic
Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 4, pp. 609-644

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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.

DOI : 10.1051/m2an:2008020
Classification : 35Q30, 65M12, 76D05, 76M10
Keywords: 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: Mathematical Modelling and Numerical Analysis },
     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://geodesic.mathdoc.fr/articles/10.1051/m2an:2008020/}
}
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Legendre, Guillaume; Takahashi, Takéo. Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 4, pp. 609-644. doi: 10.1051/m2an:2008020

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