EFFECTIVE BOUNDARY-CONDITIONS FOR LAMINAR FLOWS OVER PERIODIC ROUGH BOUNDARIES

Citation
Y. Achdou et al., EFFECTIVE BOUNDARY-CONDITIONS FOR LAMINAR FLOWS OVER PERIODIC ROUGH BOUNDARIES, Journal of computational physics (Print), 147(1), 1998, pp. 187-218
Citations number
19
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
ISSN journal
00219991
Volume
147
Issue
1
Year of publication
1998
Pages
187 - 218
Database
ISI
SICI code
0021-9991(1998)147:1<187:EBFLFO>2.0.ZU;2-X
Abstract
Effective boundary conditions or wall laws are proposed for a laminar flow over a rough wall with periodic roughness elements. These effecti ve conditions are posed on a regularized boundary which allows the det ails of the wall to be avoided and dramatically reduces the computatio nal cost. The effective conditions stem from an asymptotic expansion o f the solution, which is presented here. Both first- and second-order conditions are discussed and tested numerically on bidimensional cases . (C) 1998 Academic Press.