Subgrid stabilized defect correction methods for the Navier-Stokes equations


KAYA MERDAN S., William L., Béatrice R.

SIAM JOURNAL ON NUMERICAL ANALYSIS, vol.44, no.4, pp.1639-1654, 2006 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 4
  • Publication Date: 2006
  • Doi Number: 10.1137/050623942
  • Journal Name: SIAM JOURNAL ON NUMERICAL ANALYSIS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1639-1654
  • Keywords: eddy viscosity, variational multiscale method, high Reynolds numbers, correction steps, CONVECTION-DIFFUSION EQUATION, VARIATIONAL MULTISCALE METHOD, CORRECTION ITERATION, VISCOSITY METHOD, MULTIGRID METHOD, EDDY VISCOSITY, FLOW, CONVERGENCE

Abstract

We consider the synthesis of a recent subgrid stabilization method with defect correction methods. The combination is particularly efficient and combines the best algorithmic features of each. We prove convergence of the method for a fixed number of corrections as the mesh size goes to zero and derive parameter scalings from the analysis. We also present some numerical tests which both verify the theoretical predictions and illustrate the method's promise.