Analysis of Four Finite Volume Schemes for Plane Stress Problems

Abstract:

In order to compare precisions of different finite volume schemes for plane stress problems, this paper discussed three typical finite volume schemes(FVM2, FVM3 and FVM4) through theoretical deduction and example verification, and introduced a new scheme(FVM1). Force equilibrium equations were obtained, which derived from the principle of the finite volume method (FVM). Using triangular units and in view of internal cells and boundary elements, this paper put forward these four finite schemes linear equations similar to the finite element method(FEM) stiffness equations but with different coefficients. The analyses and numerical example results show that FVM1 is the optimal finite volume scheme, and suggest that in practical civil, architectural and hydraulic engineering calculations, schemes should be selected carefully and FVM1 is a good option.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 4635-4642
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.4635
• Online since: October 2012
• Authors: Yue Ping Qin, Quan Sun, Xiao Bin Yang, Guo Yu Zhang
• Keywords: Computational Mechanics, Finite Element Method (FEM), Finite Volume, Plane Stress Problem

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