摘要
基于有限元方法中的虚位移原理,写出了不可压流Gao-Yong湍流方程组弱形式的微分方程表达式,利用有限元程序自动生成系统(FEPG)得到了全部有限元计算程序。对二维顶盖驱动方腔流进行了数值模拟,得到了方腔内的涡量分布和中心线上的速度变化曲线,并且成功地模拟出了高雷诺数时方腔内的双涡结构,计算结果与文献提供基准解符合良好。进一步证实了Gao-Yong湍流方程组能够准确模拟复杂湍流粘性场,并且为Gao-Yong湍流方程组的工程应用奠定了基础。
Based on the virtual displacement principle of finite element method, a weak variation of GAO-YONG turbulence equations is put forward. The subroutine of the element and the integrated finite element code are generated by the finite element program generator （FEPG） successfully. The numerical simulation about the lid-driven cavity flow is conducted. The vorticity contour in the cavity and the velocity changing curve of cavity＇s central lines are acquired and agrees with the established results very well. The Gao-Yong turbulence equations able to gain real viscosity field in complex flow is proved. The engineering application foundation of the Gao-Yong turbulence equations is established.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2008年第3期428-433,共6页
Advances in Water Science
