A projection-based stabilized finite element method for steady-state natural convection problem

Cibik A. B., Kaya S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.381, sa.2, ss.469-484, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 381 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.jmaa.2011.02.020
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.469-484
  • Anahtar Kelimeler: Projection-based method, Finite element method, Error analysis, Natural convection equation, ALGORITHM
  • Gazi Üniversitesi Adresli: Evet

Özet

We formulate a projection-based stabilization finite element technique for solving steady-state natural convection problems. In particular, we consider heat transport through combined solid and fluid media. This stabilization does not act on the large flow structures. Based on the projection stabilization idea, finite element error analysis of the problem is investigated and optimal errors for the velocity, temperature and pressure are established. We also present some numerical tests which both verify the theoretical predictions and demonstrate the method's promise. (C) 2011 Elsevier Inc. All rights reserved.