A family of second order time stepping methods for the Darcy-Brinkman equations

Date

2019-04-01

Author

Cibik, Aytekin
Demir, Medine
Kaya Merdan, Songül

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This study presents an efficient, accurate, effective and unconditionally stable time stepping scheme for the Darcy-Brinkman equations in double-diffusive convection. The stabilization within the proposed method uses the idea of stabilizing the curvature for velocity, temperature and concentration equations. Accuracy in time is proven and the convergence results for the fully discrete solutions of problem variables are given. Several numerical examples including a convergence study are provided that support the derived theoretical results and demonstrate the efficiency and the accuracy of the method.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/34905

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/j.jmaa.2018.11.015

Collections

Department of Mathematics, Article

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Citation Formats

A. Cibik, M. Demir, and S. Kaya Merdan, “A family of second order time stepping methods for the Darcy-Brinkman equations,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 148–175, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34905.