A sensitivity study of relaxation parameter in Uzawa algorithm for the steady natural convection model
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 20 September 2019
Issue publication date: 3 February 2020
Abstract
Purpose
This paper aims to study the sensitivity of relaxation parameter in Uzawa method for the steady natural convection model.
Design/methodology/approach
Based on the continuous sensitivity equation method, associated sensitivity system is formed, which is solved by applying finite element method.
Findings
A decrease in sensitivity values of velocity, pressure and temperature is observed as the relaxation parameter increases.
Originality/value
The sensitivity study of relaxation parameter in Uzawa method is the first for the natural convection model, to the best of the authors’ knowledge. In fact, it is difficult to find an optimal relaxation parameter in the Uzawa method for the nonlinear problems. It is therefore important to understand how small changes in the relaxation parameter could affect the numerical solution of the nonlinear equations.
Keywords
Acknowledgements
The authors would like to thank the editor and anonymous reviewers for their helpful comments and suggestions which helped to improve the quality of our present paper. This work is supported by the Natural Science Foundation of China (grant number 11861067).
Citation
Li, X. and Huang, P. (2020), "A sensitivity study of relaxation parameter in Uzawa algorithm for the steady natural convection model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 2, pp. 818-833. https://doi.org/10.1108/HFF-05-2019-0443
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited