| 二维对流方程在模拟点污染源扩散中的应用 |
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| 引用本文： | 张雁杰,曹兵,张艳艳,刘晓平.二维对流方程在模拟点污染源扩散中的应用[J].华北水利水电学院学报,2008,29(3). |
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| 作者姓名： | 张雁杰 曹兵 张艳艳 刘晓平 |
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| 作者单位： | 华北水利水电学院,河南,郑州,450011 |
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| 摘 要： | 采用带人工耗散项的MacCormack格式离散二维对流方程,建立点污染源对流扩散的数学模型.对MacCormack格式离散方程进行了相容性、收敛性与稳定性分析,在满足柯朗条件的基础上,进行了一个点源二维对流扩散的数值模拟计算.将同问题的数值解与解析解加以对比,两者拟合度很高,证明这一离散格式的可行性.研究还表明,引入人工耗散项对控制数值振荡具有一定效果,σ大于100时边界数值开始出现较明显的震荡,但数值解误差也明显缩小,这在水环境数值模拟计算中是需要注意的.
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| 关 键 词： | 人工耗散项 MacCormack格式 点源 数值模拟 |
Application of Two-dimensional Convection Equation in the Numerical Simulation of Point Sources Diffusion |
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| ZHANG Yan-jie,CAO Bing,ZHANG Yan-yan,LIU Xiao-ping.Application of Two-dimensional Convection Equation in the Numerical Simulation of Point Sources Diffusion[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2008,29(3). |
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| Authors: | ZHANG Yan-jie CAO Bing ZHANG Yan-yan LIU Xiao-ping |
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| Affiliation: | ZHANG Yan-jie,CAO Bing,ZHANG Yan-yan,LIU Xiao-ping(North China Institute of Water Conservancy , Hydroelectric Power,Zhengzhou 450011,China) |
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| Abstract: | Through using the MacCormack format to discrete two-dimensional convection equation with artificial dissipation,the mathematical model of convection-diffusion with point pollution sources is established.On the basis of fitting the Courant-number,the compatibility,the convergence and the stability of the MacCormack format,are analyzed,then the two-dimensional convection-diffusion of one point source by numerical simulation is calculated.by contrasting the numerical solution and the analytical solution of the... |
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| Keywords: | artificial dissipation MacCormack format point source numerical simulation |
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