An efficient iterative algorithm for the natural convection equations based on finite element method
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 5 March 2018
Abstract
Purpose
This paper aims to propose a new highly efficient iterative method based on classical Oseen iteration for the natural convection equations.
Design/methodology/approach
First, the authors solve the problem by the Oseen iterative scheme based on finite element method, then use the error correction strategy to control the error arising.
Findings
The new iterative method not only retains the advantage of the Oseen scheme but also saves computational time and iterative step for solving the considered problem.
Originality/value
In this work, the authors introduce a new iterative method to solve the natural convection equations. The new algorithm consists of the Oseen scheme and the error correction which can control the errors from the iterative step arising for solving the nonlinear problem. Comparing with the classical iterative method, the new scheme requires less iterations and is also capable of solving the natural convection problem at higher Rayleigh number.
Keywords
Acknowledgements
The authors are grateful to the editor and the anonymous referees for their helpful comments and suggestions on the revision of the manuscript. This work is supported by the National Natural Science Foundation of China (grant numbers 11401511 and 11771259), the Natural Science Foundation of Xinjiang Province (grant number 2017D01C052) and the Postdoctoral Science Foundation of Xinjiang Province.
Citation
Wang, L., Li, J. and Huang, P. (2018), "An efficient iterative algorithm for the natural convection equations based on finite element method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 3, pp. 584-605. https://doi.org/10.1108/HFF-03-2017-0101
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited