A two-grid stabilization method for solving the steady-state Navier-Stokes equations


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KAYA MERDAN S., Rivière B.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.22, no.3, pp.728-743, 2006 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1002/num.20120
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.728-743
  • Keywords: subgrid eddy viscosity, Navier-Stokes equations, finite elements, two-grid method, FINITE-ELEMENTS

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. (C) 2005 Wiley Periodicals, Inc.