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简化Navier—Stokes方程的IFT理论的各向异性张力有限元法
引用本文:朱刚,陈农.简化Navier—Stokes方程的IFT理论的各向异性张力有限元法[J].应用力学学报,1993,10(3):26-32.
作者姓名:朱刚  陈农
作者单位:西安交通大学,西安交通大学,西安交通大学,西安交通大学 西安 710049,西安 710049,西安 710049,西安 710049
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。

关 键 词:有限元法  流体力学  粘性流动

Anisotropic Tensor Force Finite Element Method of IFT Theory for Simplified Navier-Stokes Equations
Zhu Gang Cheng Nong Jing Sirui Hu Qingkang.Anisotropic Tensor Force Finite Element Method of IFT Theory for Simplified Navier-Stokes Equations[J].Chinese Journal of Applied Mechanics,1993,10(3):26-32.
Authors:Zhu Gang Cheng Nong Jing Sirui Hu Qingkang
Institution:Xi'an Jiaotong University
Abstract: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.
Keywords:laminar flow  F  E  M    vorticity  incompressible flow  
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