粘性流体动力学的混合协调元和混合杂交非协调元变分法
Mixed Compatible Element and Mixed Hybrid Incompatible Element Variational Methods in Dynamics of Viscous Barotropic Fluids
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摘要: 本文提出并论证了粘性正压流体流动的混合协调有限元变分原理,在论证中发现应力协调条件会自然满足。同时提出论证了有关的混合杂交非协调有限元广义变分原理,这能够简化粘性流动的非协调元计算。Abstract: 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.
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[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. -
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