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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:472

Article

Cibik, Aytekin¹  Demir, Medine²  Kaya, Songul² 

[1] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey

[2] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey

关键词: Darcy-Brinkman;    Curvature stabilization;    Double diffusion;   

DOI  :  10.1016/j.jmaa.2018.11.015

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free