Shen Xiao-ming. Mixed Compatible Element and Mixed Hybrid Incompatible Element Variational Methods in Dynamics of Viscous Barotropic Fluids[J]. Applied Mathematics and Mechanics, 1994, 15(6): 529-537.
Citation: Shen Xiao-ming. Mixed Compatible Element and Mixed Hybrid Incompatible Element Variational Methods in Dynamics of Viscous Barotropic Fluids[J]. Applied Mathematics and Mechanics, 1994, 15(6): 529-537.

Mixed Compatible Element and Mixed Hybrid Incompatible Element Variational Methods in Dynamics of Viscous Barotropic Fluids

  • Received Date: 1992-09-12
  • Publish Date: 1994-06-15
  • This paper presents and proves the mixed compatible finite element variational principles in dynamics of viscous barotropic fluids.When the principles are proved, it is found that the com patibility conditions of stress can be naturaly satisfied, The generalized variational principles with mixed hybrid incompatble finite elements are also presented and proved,and they can reduce the computation of incompatible elemenis in dynamics of viscous barotropic lows.
  • loading
  • [1]
    刘高联.流体力学变分原理及有限元法研究进展.上海力学,10(3) (1989),73-80.
    [2]
    沈孝明,粘性正压流体流动的广义功率消耗原理和广义变分原理,华东工学院学报,(2) (1989),45-51.
    [3]
    钱伟长.《变分法及有限元》,科学出版社(1980).
    [4]
    沈孝明,粘性流动的最大功率消耗原理不成立—论自然条件不参加变分兼论变分的定义及运算法则,北京大学学报,26(3) (1990),291-297,《中国力学学会第四届全国流体力学会议论文集》.北京大学出版社(1989).
    [5]
    钱伟长,粘性流体动力学的变分原理和广义变分原理,应用数学和力学,6(3) (1984),305-322.
    [6]
    Tonti,E.,Variational formulation for every nonlinear probem,Int,J,Engrg,Sci.,2y(11/22)(1984),1343-1371.
    [7]
    Ecer,A.,Variational Formulation of viscous flows,Int.J.Num.Meth.in Engrg.,15 (1980),1355-1361.
    [8]
    Ecer,A.,et al.,Symp,on Numerical Methods for Compressible Flows,ASME,Winter Annual Meeting,California,USA(1986).
    [9]
    荣廷玉.弹性力学广义混合变分原理及有限元,固体力学学报.,9(2) (1988),152-164.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2123) PDF downloads(465) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return