| | |
Summary: European Congress on Computational Methods in Applied Sciences and Engineering
ECCOMAS 2000
Barcelona, 11-14 September 2000
c
ECCOMAS
NEW WALL LAWS FOR UNSTEADY INCOMPRESSIBLE
NAVIER-STOKES EQUATIONS
Yves Achdou ? , Olivier Pironneau y and Frederic Valentin z
? INSA - Rennes, Av. des Buttes de Coesmes 35043 Rennes, France, e-mail:
yves.achdou@insa-rennes.fr
y Universite Paris 6, 75252 Paris, France, e-mail: pironneau@ann.jussieu.fr
z LNCC, Av. Getulio Vargas, 333 25651-070 Petropolis - RJ, Brazil, e-mail:
valentin@lncc.br, web page: http://www.lncc.br/valentin
Key words: wall law, Navier-Stokes, asymptotic analysis, unsteady
ow, boundary layer
Abstract. This work is concerned with the construction of e ective boundary conditions
or wall laws for unsteady incompressible Navier-Stokes equations over rough domains con-
taining periodic roughness elements. First and second order unsteady wall laws are pro-
posed using two scale asymptotic techniques wherein the rough interface is replaced by an
homogenized surface. The in
uence of the rough element geometry on the
ow is incor-
porated through constants which are obtained by solving a steady Stokes problem in a local
|
