First-order system least squares for the Oseen equations

Following earlier work for Stokes equations, a least squares functional is developed for two- and three-dimensional Oseen equations. By introducing a velocity flux variable and associated curl and trace equations, ellipticity is established in an appropriate product norm. The form of Oseen equations examined here is obtained by linearizing the incompressible Navier-Stokes equations. An algorithm is presented for approximately solving steady-state, incompressible Navier-Stokes equations with a nested iteration-Newton-FOSLS-AMG iterative scheme, which involves solving a sequence of Oseen equations. Some numerical results for Kovasznay flow are provided. Copyright (C) 2006 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY & SONS LTD
Issue Date
2006-09
Language
ENG
Keywords

PARTIAL-DIFFERENTIAL-EQUATIONS; NAVIER-STOKES EQUATIONS; PRINCIPLES

Citation

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, v.13, no.7, pp.523 - 542

ISSN
1070-5325
DOI
10.1002/nla.485
URI
http://hdl.handle.net/10203/8441
Appears in Collection
MA-Journal Papers(저널논문)
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