Convergence of the Lagrange-Galerkin method for the equations modelling the motion of a fluid-rigid system
Artículo
Open/ Download
Publication date
2005Metadata
Show full item record
Cómo citar
San Martín, Jorge
Cómo citar
Convergence of the Lagrange-Galerkin method for the equations modelling the motion of a fluid-rigid system
Abstract
In this paper, we consider a Lagrange-Galerkin scheme to approximate a two
dimensional °uid-rigid body problem. The equations of the system are the Navier-
Stokes equations in the °uid part, coupled with ordinary di®erential equations for
the dynamics of the rigid body. In this problem, the equations of the °uid are written
in a domain whose variation is one of the unknowns. We introduce a numerical
method based on the use of characteristics and on ¯nite elements with a ¯xed mesh.
Our main result asserts the convergence of this scheme.
General note
Artículo de publicación ISI
Identifier
URI: https://repositorio.uchile.cl/handle/2250/125168
DOI: DOI. 10.1137/S0036142903438161
ISSN: 0036-1429
Quote Item
SIAM JOURNAL ON NUMERICAL ANALYSIS, Volume: 43, Issue: 4, Pages: 1536-1571, 2005
Collections