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

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00142870
Dewey
Analyse
Sujet
fluid-structure interaction; incompressible Navier-Stokes equations; arbitrary Lagrangian Eulerian; Lagrange-Galerkin method
Journal issue
Mathematical Modelling and Numerical Analysis
Volume
42
Number
4
Publication date
2008
Article pages
609-644
DOI
http://dx.doi.org/10.1051/m2an:2008020
URI
https://basepub.dauphine.fr/handle/123456789/539
Collections
  • CEREMADE : Publications
Metadata
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Author
Takahashi, Takéo
Legendre, Guillaume
Type
Article accepté pour publication ou publié
Abstract (EN)
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.

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