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

Renwei Liu | Zendy; Dongjie Wang | Zendy; Xinyu Zhang | Zendy; Lin Wang | Zendy; Bo Yu | Zendy

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

Author(s) -

Renwei Liu,

Dongjie Wang,

Xinyu Zhang,

Lin Wang,

Bo Yu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/596218

Subject(s) - finite volume method , finite difference , finite difference method , robustness (evolution) , computer science , algorithm , mathematics , mechanics , mathematical analysis , physics , chemistry , biochemistry , gene

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

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