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有限体积法在二维固体力学问题中的应用 被引量:3

Application of finite volume method in 2 dimensional problems of solid mechanics
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摘要 推导了矩形单元的二维固体力学有限体积法公式,与解析解及有限元解进行了比较。 The fomulae of finite volume method in the 2 dimensional problems of solid mechanics are derived for rectangular element.The numerical results are compared with analytical and finite element solutis.The applications of finite volume method in the nonlinear problems are discussed.
作者 杨海天
出处 《计算结构力学及其应用》 CSCD 1996年第3期333-341,共9页
关键词 有限元 固体力学 有限体积 finite element solid mechanics/finite volume control volume
  • 相关文献

参考文献5

  • 1Wang Wu,博士学位论文,1994年
  • 2金忠青,Navier.Stokes方程及紊流模型的数值解,1989年
  • 3张允真,弹性力学及其有限元法,1983年
  • 4唐立民,大连理工大学学报,1973年,1卷,3页
  • 5杨海天,Computers and Structures

同被引文献31

  • 1杨海天.有限体积法在固体力学中的应用[J].大连理工大学学报,1995,35(3):296-298. 被引量:1
  • 2龙驭球,陈晓明,岑松.一个不闭锁和抗畸变的四边形厚板元[J].计算力学学报,2005,22(4):385-391. 被引量:4
  • 3ZIENKIEWICZ O C, TAYLOR R L. Plate bending elements with discrete constrains new triangular elements [J]. Com-puters & Structures, 1990, 35:505 -522.
  • 4DEMIRDZIC I, MUZAFERIJA S. Numerical method for coupled fluid flow, heat transfer and stress analysis usingunstructured moving meshes with cells of arbitrary topology[J]. Computer Methods in Applied Mechanics and Engi-neering, 1995, 125:235-255.
  • 5WENKE P, WHEEL M A. A finite volume method for solid mechanics incorporating rotational degrees of freedom [J].Computers and Structures, 2003, 81:321 -329.
  • 6LIU Tielin, LIU Kaishin, ZHANG Jinxiang. Unstructured grid method for stress wave propagation in elastic media [J]. Computer Methods in Applied Mechanics and Engi-neering, 2004, 2427-2453.
  • 7BIJELONJAI , DEMIRDZIC I , MUZAFERIJA S. A finite volume method for incompressible linear elasticity [J].Computer Methods in Applied Mechanics and Engineering,2006, 195, 6378 -6390.
  • 8PAPADAKIS G. A novel pressure velocity formulation and solution method for fluid structure interaction problems[J]. Journal of Computational Physics, 2008, 227:3383- 3404.
  • 9FERZIGER J H, PERIC M. Computational methods for fluid dynamics[M]. 3 Ed. Berlin: Springer Press, 2002 :107 -112.
  • 10RHIE C, M, CHOW W. L. Numerical study of the turbulent flow past an airfoil with trailing edge separation [J]. AIAAJournal, 1983,21 (11) : 1525 - 1532.

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