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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 381 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.jmaa.2011.02.020
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.469-484
  • Keywords: Projection-based method, Finite element method, Error analysis, Natural convection equation, ALGORITHM
  • Middle East Technical University Affiliated: Yes

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.