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New multigrid smoothers for the Oseen problem
Author(s) -
Hamilton Steven,
Benzi Michele,
Haber Eldad
Publication year - 2010
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.707
Subject(s) - multigrid method , discretization , mathematics , reynolds number , convergence (economics) , scaling , hermitian matrix , mathematical optimization , mathematical analysis , geometry , physics , partial differential equation , mechanics , pure mathematics , turbulence , economics , economic growth
We investigate the performance of smoothers based on the Hermitian/skew‐Hermitian (HSS) and augmented Lagrangian (AL) splittings applied to the Marker‐and‐Cell (MAC) discretization of the Oseen problem. Both steady and unsteady flows are considered. Local Fourier analysis and numerical experiments on a two‐dimensional lid‐driven cavity problem indicate that the proposed smoothers result in h ‐independent convergence and are fairly robust with respect to the Reynolds number. A direct comparison shows that the new smoothers compare favorably to coupled smoothers of Braess–Sarazin type, especially in terms of scaling for increasing Reynolds number. Copyright © 2010 John Wiley & Sons, Ltd.