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高雷诺数流动的平均化差分格式
引用本文:廖华胜,吴持恭.高雷诺数流动的平均化差分格式[J].水动力学研究与进展(A辑),1993,8(2):121-129.
作者姓名:廖华胜  吴持恭
作者单位:成都科技大学高速水力学国家实验室,成都科技大学高速水力学国家实验室 成都 610065,成都 610065
摘    要:本文在N—S方程涡量一流函数形式的经典ADI格式和SOR松驰迭代公式的基础上,对其“外来项”进行平均化处理,构造出了平均化差分格式及迭代求解程序。对雷诺数Re=100,1000,10000的空腔流动分别进行了数值计算,并与各数值方法的结果及实验资料进行了比较,结果令人满意。

关 键 词:N-S方程  有限差分法  涡量  流函数

Averaging Finite Difference Schemes for 2-D Flows at High Reynolds Number
Liao Hua-sheng Wu Chi-gong.Averaging Finite Difference Schemes for 2-D Flows at High Reynolds Number[J].Journal of Hydrodynamics,1993,8(2):121-129.
Authors:Liao Hua-sheng Wu Chi-gong
Abstract:Based on the ADI methods (Alternating Direction Implicit) and SOR methods (Successive Over Relaxation) for solving the Navier-Stokes equations utilized the vorticity-stream function approach, averaging those terms calculated from other partial differential equations called as "outer term" an averaging finite difference scheme for 2-D flows were proposed in this paper. A 2-D driven cavity flow was calculated numerically as an example with the schemes at R.=100, 1000, 10000. The results were discussed and compared to those obtained from other numerical methods as well as experimental data. The a-greement is quite satisftory.
Keywords:N-S equation  finte difference scheme  vorticity-stream function    
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