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, vol.64, pp.35-49, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64
  • Publication Date: 2013
  • Doi Number: 10.1016/j.apnum.2012.06.034
  • Title of Journal : APPLIED NUMERICAL MATHEMATICS
  • Page Numbers: pp.35-49
  • Keywords: 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

Abstract

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.