Analysis of a new stabilized finite volume element method based on multiscale enrichment for the Navier-Stokes problem
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 7 November 2016
Abstract
Purpose
The purpose of this paper is to propose a new stabilized finite volume element method for the Navier-Stokes problem.
Design/methodology/approach
This new method is based on the multiscale enrichment and uses the lowest equal order finite element pairs P1/P1.
Findings
The stability and convergence of the optimal order in H1-norm for velocity and L2-norm for pressure are obtained.
Originality/value
Using a dual problem for the Navier-Stokes problem, the convergence of the optimal order in L2-norm for the velocity is obtained. Finally, numerical example confirms the theory analysis and validates the effectiveness of this new method.
Keywords
Acknowledgements
This work are supported by the special research program of the Education Department of Shaanxi Province (No. 16JK1537), the NSF of China (Nos 11271298, 11571275).
Citation
Wen, J., He, Y. and Zhao, X. (2016), "Analysis of a new stabilized finite volume element method based on multiscale enrichment for the Navier-Stokes problem", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 8, pp. 2462-2485. https://doi.org/10.1108/HFF-06-2015-0244
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited