A two-grid stabilization method for solving the steady-state Navier-Stokes equations
2005; Wiley; Volume: 22; Issue: 3 Linguagem: Inglês
10.1002/num.20120
ISSN1098-2426
AutoresSongül Kaya, Béatrice Rivière,
Tópico(s)Lattice Boltzmann Simulation Studies
ResumoNumerical Methods for Partial Differential EquationsVolume 22, Issue 3 p. 728-743 A two-grid stabilization method for solving the steady-state Navier-Stokes equations Songul Kaya, Songul Kaya Department of Mathematics, University of Pittsburgh, Pittsburgh, Pittsburgh, Pennsylvania 15260Search for more papers by this authorBéatrice Rivière, Corresponding Author Béatrice Rivière [email protected] Department of Mathematics, University of Pittsburgh, Pittsburgh, Pittsburgh, Pennsylvania 15260Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260Search for more papers by this author Songul Kaya, Songul Kaya Department of Mathematics, University of Pittsburgh, Pittsburgh, Pittsburgh, Pennsylvania 15260Search for more papers by this authorBéatrice Rivière, Corresponding Author Béatrice Rivière [email protected] Department of Mathematics, University of Pittsburgh, Pittsburgh, Pittsburgh, Pennsylvania 15260Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260Search for more papers by this author First published: 01 September 2005 https://doi.org/10.1002/num.20120Citations: 60AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract We formulate a subgrid eddy viscosity method for solving the steady-state incompressible flow problem. The eddy viscosity does not act on the large flow structures. Optimal error estimates are obtained for velocity and pressure. The numerical illustrations agree completely with the theoretical results. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005 References 1 J. Xu, Two-grid discretization techniques for linear and nonlinear PDE, SIAM J Numer Anal 33 (1996), 1759–1777. 10.1137/S0036142992232949 Web of Science®Google Scholar 2 M. Marion and J. Xu, Error estimates for a new nonlinear Galerkin method based on two-grid finite elements, SIAM J Numer Anal 32 (1995), 1170–1184. 10.1137/0732054 Web of Science®Google Scholar 3 V. Girault and J.-L. Lions, Two-grid finite element schemes for the steady Navier-Stokes problem in polyhedra, Portugal Math 58 (2001), 25–57. 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