Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
International Journal for Numerical Methods in Fluids, cilt.50, sa.4, ss.421-436, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 4
- Basım Tarihi: 2006
- Doi Numarası: 10.1002/fld.1061
- Dergi Adı: International Journal for Numerical Methods in Fluids
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.421-436
- Anahtar Kelimeler: high-order compact scheme, HOC, steady 2-D incompressible N-S equations, driven cavity flow, high Reynolds number solutions
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Hayır
Özet
A new fourth-order compact formulation for the steady 2-D incompressible Navier-Stokes equations is presented. The formulation is in the same form of the Navier-Stokes equations such that any numerical method that solve the Navier-Stokes equations can easily be applied to this fourth-order compact formulation. In particular, in this work the formulation is solved with an efficient numerical method that requires the solution of tridiagonal systems using a fine grid mesh of 601 × 601. Using this formulation, the steady 2-D incompressible flow in a driven cavity is solved up to Reynolds number with Re = 20 000 fourth-order spatial accuracy. Detailed solutions are presented. Copyright © 2005 John Wiley & Sons, Ltd.