MULTIGRID LINE SMOOTHERS FOR HIGHER-ORDER UPWIND DISCRETIZATIONS OF CONVECTION-DOMINATED PROBLEMS

Citation
Cw. Oosterlee et al., MULTIGRID LINE SMOOTHERS FOR HIGHER-ORDER UPWIND DISCRETIZATIONS OF CONVECTION-DOMINATED PROBLEMS, Journal of computational physics, 139(2), 1998, pp. 274-307
Citations number
25
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
ISSN journal
00219991
Volume
139
Issue
2
Year of publication
1998
Pages
274 - 307
Database
ISI
SICI code
0021-9991(1998)139:2<274:MLSFHU>2.0.ZU;2-M
Abstract
In this paper we present new multigrid line smoothers for the solution of higher order discretizations of convection-dominated problems dire ctly. The behavior of the smoothers is analyzed theoretically with Fou rier smoothing and two-grid analysis. A parallel tri-line variant is p resented and evaluated. The smoothers are applied to scalar convection -diffusion problems, discretized with limiters and systems of incompre ssible Navier-Stokes and Euler equations. (C) 1998 Academic Press.