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

作　　者：沈孝明[1] 

机构地区：[1]上海电视大学宝山分校

出　　处：《应用数学和力学》1994年第6期529-537,共9页Applied Mathematics and Mechanics

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．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 cornpatibility conditions of stress can be naturaly sa-tisfied.The generalized variational principles with mixed hybrid incompatible finite elements are also presented and proved and they can reduce the computa-tion of incompatible elements in dynamics of viscous barotropic lows.

关 键 词：粘性流体力学 有限元 混合协调元 

分 类 号：O357.1[理学—流体力学]