Open Access
Translator Disclaimer
2013 Comparison Study on the Performances of Finite Volume Method and Finite Difference Method
Renwei Liu, Dongjie Wang, Xinyu Zhang, Wang Li, Bo Yu
J. Appl. Math. 2013(SI14): 1-10 (2013). DOI: 10.1155/2013/596218

Abstract

Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDM with variant mesh densities, discrete forms, and treatments of boundary condition. It is indicated that FVM is superior to FDM from the perspective of accuracy, stability of convection term, robustness, and calculation efficiency. Particularly ,when the mesh is coarse and taken as 20 × 20 , the results of FDM suffer severe oscillation and even lose physical meaning.

Citation

Download Citation

Renwei Liu. Dongjie Wang. Xinyu Zhang. Wang Li. Bo Yu. "Comparison Study on the Performances of Finite Volume Method and Finite Difference Method." J. Appl. Math. 2013 (SI14) 1 - 10, 2013. https://doi.org/10.1155/2013/596218

Information

Published: 2013
First available in Project Euclid: 7 May 2014

zbMATH: 1275.65053
MathSciNet: MR3074326
Digital Object Identifier: 10.1155/2013/596218

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.2013 • No. SI14 • 2013
Back to Top