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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Konu: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1137/050623942
  • Dergi Adı: SIAM JOURNAL ON NUMERICAL ANALYSIS
  • Sayfa Sayıları: ss.1639-1654

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.