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| 三维对流扩散方程27点加权自动迎风格式蒙特卡洛解及其应用 | |
| 引用本文： | 范世平,杨建明,冯民权,郑邦民.三维对流扩散方程27点加权自动迎风格式蒙特卡洛解及其应用[J].武汉大学学报(工学版),2013,46(1):32-36. |
| 作者姓名： | 范世平 杨建明 冯民权 郑邦民 |
| 作者单位： | 1. 西安理工大学陕西省西北旱区生态水利工程重点实验室,陕西西安710048;山西省中部引黄工程建设管理局,山西太原030006 2. 山西省中部引黄工程建设管理局,山西太原,030006 3. 西安理工大学陕西省西北旱区生态水利工程重点实验室,陕西西安,710048 4. 武汉大学水利水电学院,湖北武汉,430072 |
| 基金项目： | 山西省科技攻关项目(编号:20110313027) |
| 摘 要： | 为了研究三维对流扩散方程在高雷诺数情况下的合理解法,采用在高雷诺数情况下保持自动迎风与斜迎风特征的27点加权自动迎风格式对方程进行离散,并采用蒙特卡洛法求解;通过与一般差分法进行比较得知,该计算方法具有优势且结果较为可靠,后将其应用于高雷诺数下河流侧向和底部排污数值模拟.结果表明,27点加权自动迎风蒙特卡洛方法易于解决三维对流扩散问题,且可以接受高雷诺数的考验.该方法可以广泛应用于流体三维流动及任意曲线坐标网格. |
| 关 键 词： | 对流扩散 蒙特卡洛法 自动迎风 |
Monte Carlo method for 27 points weighted auto up-wind scheme of three-dimensional convection-diffusion equation and its application |
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| FAN Shiping,YANG Jianming,FENG Minquan,ZHENG Bangmin.Monte Carlo method for 27 points weighted auto up-wind scheme of three-dimensional convection-diffusion equation and its application[J].Engineering Journal of Wuhan University,2013,46(1):32-36. | |
| Authors: | FAN Shiping YANG Jianming FENG Minquan ZHENG Bangmin |
| Affiliation: | 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) |
| Abstract: | 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. |
| Keywords: | convection-diffusion Monte Carlo method auto up-wind |
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