简化Navier-Stokes方程的IFT理论的各向异性张力有限元法  

Anisotropic Tensor Force Finite Element Method of IFT Theory for Simplified Navier-Stokes Equations

作　　者：朱刚[1] 陈农[1] 景思睿[1] 胡庆康[1] 

机构地区：[1]西安交通大学,西安710049

出　　处：《应用力学学报》1993年第3期26-32,共7页Chinese Journal of Applied Mechanics

摘　　要：本文首先讨论简化Navier-Stokes IFT方程组的有限元离散方式,然后对其广义解进行分析,并从而利用与之相匹配的各向异性张力单元对流函数—涡量方程进行计算。通过平板层流和台阶绕流两个算例的分析,证明这种与IFT理论相匹配的有限单元算法是成功的。A scheme of finite element discretization of simplified N-S equations is studied in the paper firstly , then the generalized solution is analyzed. The stream function-vorticity equations are computed by the method of anisotropic tensor force finite element. Two examples which are the laminar flow between two plates and the back ward-facing step flow are studied. This finite element methed which matches EIF theory is shown to be successful.

关 键 词：有限元法 流体力学 粘性流动 

分 类 号：O357.1[理学—流体力学]