Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection

Cibik A., KAYA MERDAN S.

APPLIED NUMERICAL MATHEMATICS, cilt.64, ss.35-49, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.apnum.2012.06.034
  • Dergi Adı: APPLIED NUMERICAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.35-49
  • Anahtar Kelimeler: Finite element method, Variational multiscale method, Double-diffusive convection, Darcy-Brinkman, Error analysis, NAVIER-STOKES EQUATIONS, VARIATIONAL MULTISCALE METHOD, NATURAL-CONVECTION, POROUS CAVITY, FORMULATION, TIME, STABILITY, MODEL, FLOW
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This paper presents a projection-based stabilization method of the double-diffusive convection in Darcy-Brinkman flow. In particular, it is concerned with the convergence analysis of the velocity, temperature and concentration in the time dependent case. Numerical experiments are presented to verify both the theory and the effectiveness of the method. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.