The modified characteristics finite element method for time-dependent Darcy-Brinkman problem
ISSN: 0264-4401
Article publication date: 7 January 2019
Issue publication date: 8 February 2019
Abstract
Purpose
This study aims to capture the effective behavior of double-diffusion problem, which arises from the combined heat and mass transfer in porous medium and develop the modified characteristics finite element method.
Design/methodology/approach
The proposed finite element method deals with the nonlinear term temporal term by modified characteristics method. Then, the authors compute the velocity, pressure, temperature and concentration using the decoupled technique. Finally, to show the efficiency of the method, the authors give some numerical examples.
Findings
From the numerical results, one can see that the method has a good accuracy, which shows that the method can simulate this Darcy–Brinkman problem well.
Originality/value
The originality lies in the fact that the proposed scheme is the first time for solving the Darcy–Brinkman problem, which is a more complicated model, and includes the velocity, pressure, temperature and concentration.
Keywords
Acknowledgements
This work is supported by the Natural Science Foundation of China (grant number 11861067) and China Scholarship Council (grant number 201708655003). The authors would like to thank the editor and anonymous referees for their helpful comments and suggestions which helped to improve the quality of the present paper.
Citation
Liao, C. and Huang, P. (2019), "The modified characteristics finite element method for time-dependent Darcy-Brinkman problem", Engineering Computations, Vol. 36 No. 1, pp. 356-376. https://doi.org/10.1108/EC-05-2018-0223
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited