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


Cibik A., KAYA MERDAN S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.381, no.2, pp.469-484, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 381 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.jmaa.2011.02.020
  • Title of Journal : JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Page Numbers: pp.469-484

Abstract

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.