瞬态二维不可压缩流动N-S方程数值解  

Numerical Solutions of N-S Equations for Transient Two-dimensiona Viscous Incompressible Flow

作　　者：高殿荣[1] 王益群[1] 

机构地区：[1]燕山大学机械工程学院,秦皇岛066004

出　　处：《燕山大学学报》2000年第3期196-202,共7页Journal of Yanshan University

基　　金：河北省自然科学基金资助项目!(编号500203)。

摘　　要：用有限元方法对粘性不可压缩流体做二维瞬态流动的Ｎ－Ｓ方程的变形公式──流函数－涡量式进行求解，壁面上的涡量边界条件用时间迭代法加以确定。并分别对雷诺数Ｒｅ＝４００， ８００， １０００时方腔驱动流动进行计算，收到了收敛的效果，所得流线图和速度矢量图均符合物理规律，说明本文所用方法正确，对分析其它流动问题有一定的参考价值。In this article, the finite element method is used to discrete the streamfunction-vorticity equation of transient two-dimensional incompressible viscous flow. The vorticity boundary condition is determined by the method of time iteration. The driven square cavity flow is the example of calculation, convergence results have been obtained at the Reynolds numbers of 400, 800, 1000, the streamline patterns and the velocity vectors worked out are agreement with physical laws, which show that the approaches used here are correct and have some significance to analyze other flow problems.

关 键 词：流函数-涡量式 有限元法 N-S方程 方腔流动 流线 

分 类 号：O351.3[理学—流体力学]