Comparison Study on the Performances of Finite Volume Method and Finite Difference Method
Joint Authors
Liu, Renwei
Zhang, Xinyu
Wang, Dongjie
Yu, B.
Li, Wang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Renwei& Wang, Dongjie& Zhang, Xinyu& Li, Wang& Yu, B.. 2013. Comparison Study on the Performances of Finite Volume Method and Finite Difference Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483785
Modern Language Association (MLA)
Liu, Renwei…[et al.]. Comparison Study on the Performances of Finite Volume Method and Finite Difference Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-483785
American Medical Association (AMA)
Liu, Renwei& Wang, Dongjie& Zhang, Xinyu& Li, Wang& Yu, B.. Comparison Study on the Performances of Finite Volume Method and Finite Difference Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483785