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《Engineering Journal of Wuhan University》 2013-01
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Monte Carlo method for 27 points weighted auto up-wind scheme of three-dimensional convection-diffusion equation and its application

FAN Shiping1,2,YANG Jianming2,FENG Minquan1,ZHENG Bangmin3(1.State Key Laboratory of Eco-Hydraulic Engineering in Shaanxi,Xi'an University of Technology,Xi'an 710048,China; 2.Construction and Administration Bureau of Yellow River Diversion Project in Central Shanxi Province,Taiyuan 030006,China; 3.School of Water Resources and Hydropower,Wuhan University,Wuhan 430072,China)  
In order to study the reasonable solution of 3D convection diffusion equation under the condition of high Reynolds number,27 points weighted auto up-wind scheme,which maintain the characteristics of the auto up-wind and inclined windward under high Reynolds number condition,has been used to discrete the equation,and solved with Monte Carlo method.According to the comparing with FDM,which show that the calculation method have advantage and results more reasonable,then by which to simulate the numerical value for sewage discharge at river side and bottom under high Reynolds number condition.The results show that,27 points weighted auto up-wind scheme with Monte Carlo method can easily be applied to calculating the 3-D convection-diffusion,and can accept the test of high Reynolds number condition.This method can be widely used in 3D flow problem and any curve coordinate grid.
【Fund】: 山西省科技攻关项目(编号:20110313027)
【CateGory Index】: TV131.2
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