Artículo de revista
Convergence of the Lagrange-Galerkin method for the equations modelling the motion of a fluid-rigid system
Fecha
2005Registro en:
SIAM JOURNAL ON NUMERICAL ANALYSIS, Volume: 43, Issue: 4, Pages: 1536-1571, 2005
0036-1429
DOI. 10.1137/S0036142903438161
Autor
San Martín, Jorge
Scheid, Jean-Francois
Takahashi, Takéo
Tucsnak, Marius
Institución
Resumen
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.