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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
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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