Subgrid stabilized defect correction methods for the Navier-Stokes equations

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

SIAM JOURNAL ON NUMERICAL ANALYSIS, cilt.44, sa.4, ss.1639-1654, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1137/050623942
  • Dergi Adı: SIAM JOURNAL ON NUMERICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1639-1654
  • Anahtar Kelimeler: 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
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.