Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations

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NESLİTÜRK A. İ., AYDIN BAYRAM S., Tezer-Suzgin M.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, cilt.58, sa.5, ss.551-572, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 5
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1002/fld.1753
  • Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.551-572
  • Anahtar Kelimeler: stabilizing subgrid, Navier-Stokes equations, two-level finite element method, RESIDUAL-FREE BUBBLES, CONVECTION-DIFFUSION PROBLEMS, ERROR ANALYSIS, LAGRANGIAN-MULTIPLIERS, FLOW, APPROXIMATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finite-dimensional spaces emploved consist of piecewise continuous linear interpolants enriched with the residual-free bubble functions. To find the bubble part of the Solution, a two-level finite element method with a stabilizing subgrid of a single node is described, and its application to the Navier-Stokes equation is displayed. Numerical approximations employing the proposed algorithm are presented for three benchmark problems. The results show that the proper choice of the subgrid node is crucial in obtaining stable and accurate numerical approximations consistent with the physical configuration of the problem at a cheap computational cost. Copyright (C) 2008 John Wiley & Sons, Ltd.