Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
Takahashi, Takéo; Legendre, Guillaume (2008), Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation, Mathematical Modelling and Numerical Analysis, 42, 4, p. 609-644. http://dx.doi.org/10.1051/m2an:2008020
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00142870Date
2008Journal name
Mathematical Modelling and Numerical AnalysisVolume
42Number
4Pages
609-644
Publication identifier
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Show full item recordAbstract (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.Subjects / Keywords
fluid-structure interaction; incompressible Navier-Stokes equations; arbitrary Lagrangian Eulerian; Lagrange-Galerkin methodRelated items
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