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

Date

2013-02-01

Author

Cibik, Aytekin
Kaya Merdan, Songül

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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.

Subject Keywords

Finite element method, Variational multiscale method, Double-diffusive convection, Darcy-Brinkman, Error analysis

URI

https://hdl.handle.net/11511/39525

Journal

APPLIED NUMERICAL MATHEMATICS

DOI

https://doi.org/10.1016/j.apnum.2012.06.034

Collections

Department of Mathematics, Article

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Citation Formats

A. Cibik and S. Kaya Merdan, “Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection,” APPLIED NUMERICAL MATHEMATICS, pp. 35–49, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39525.