二维对流方程在模拟点污染源扩散中的应用  

Application of Two-dimensional Convection Equation in the Numerical Simulation of Point Sources Diffusion

作　　者：张雁杰[1] 曹兵[1] 张艳艳[1] 刘晓平[1] 

机构地区：[1]华北水利水电学院,河南郑州450011

出　　处：《华北水利水电学院学报》2008年第3期18-20,共3页North China Institute of Water Conservancy and Hydroelectric Power

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.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...

关 键 词：人工耗散项 MacCormack格式 点源 数值模拟 

分 类 号：X169[环境科学与工程—环境科学]