Comparison Study on the Performances of Finite Volume Method and Finite Difference Method

被引：8

作者：

Liu, Renwei ^{[1
,2
]}

Wang, Dongjie ^{[1
,2
]}

Zhang, Xinyu ^{[1
,2
]}

Li, Wang ^{[1
,2
,3
]}

Yu, Bo ^{[1
,2
]}

机构：

[1] China Univ Petr, Natl Engn Lab Pipeline Safety, Beijing 102249, Peoples R China

[2] China Univ Petr, Beijing Key Lab Urban Oil & Gas Distribut Technol, Beijing 102249, Peoples R China

[3] PetroChina Southwest Pipeline Co, Chengdu 610041, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

美国国家科学基金会;

关键词：

CONSERVATION-LAWS; EQUATIONS; FLOW; SYSTEMS; FORM;

D O I：

10.1155/2013/596218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 x 20, the results of FDM suffer severe oscillation and even lose physical meaning.

引用

页数：10

共 21 条

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