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高精度的对流差分格式
引用本文:卢叔全.高精度的对流差分格式[J].空气动力学学报,1988(2).
作者姓名:卢叔全
作者单位:南京航空学院
摘    要:对于广义对流差分格式,本文应用两种方法(截断误差分析法及事后估计误差法)导出了使其误差最小的最优α值。和以前的方法不同,它们是从所研究的对流-扩散方程本身出发导得的,而无需事先知道方程的解析解。大量算例结果表明,截断误差分析法有很高的精度。事后估计误差法的误差,除个别点外,也都比一般格式的误差要小或者小得多。但是,对于复杂的问题,前者的应用可能会有困难,而后者却很易实现。

关 键 词:计算空气动力学  N—S方程  对流差分格式

THE HIGHLY ACCURATE CONVECTIVE DIFFERENCE SCHEMES
Lu Shuquan.THE HIGHLY ACCURATE CONVECTIVE DIFFERENCE SCHEMES[J].Acta Aerodynamica Sinica,1988(2).
Authors:Lu Shuquan
Institution:Nanjing Aeronautical Institute
Abstract:For the generalized connective difference schemes,two methods (the method of analyzing the truncted error and the method of estimating the error after the event) are applied in this paper to derive the optimum a values in order to make the errors minimum.It differs from the other papers in that one can derive them from the convection-diffusion equation itself and needn't know its analytical solution in advance.Many results show that the method of analyzing the truncted error is highly accurate.The errors of the method of estimating the error after the event are smaller or much smaller than the errors of the ordinary schemes,except in very few special cases.However,for some complex problems,it may have some difficulty to apply the first method,but it hasn't any difficulty to apply the second one.
Keywords:Computational aerodynamics  M-S equation  convective difference scheme  
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