TITLE

A FINITE VOLUME METHOD FOR THE TWO-DIMENSIONAL STATIONARY NAVIER -- STOKES SYSTEMS

AUTHOR(S)
Djadel, K.; Nicaise, S
PUB. DATE
April 2006
SOURCE
Computational Methods in Applied Mathematics;2006, Vol. 6 Issue 2, p134
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we extend to the stationary incompressible Navier-Stokes system in dimension two the results obtained in [14,26] for a cell-centered finite volume method applied to the stationary incompressible Stokes System. Here the nonlinear term is criticized as in [15]. We prove that the energy error norm is bounded by h, where h is the mesh size, under the standard assumption that the datum is small enough with respect to the viscosity parameter. Numerical test on examples with analytic solutions and on standard benchmark problems from fluid mechanics are presented and confirm the theoretical results.
ACCESSION #
21501339

 

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