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非线性平衡方程初值化方法及其在中期数值天气预报试验中的应用
引用本文:郑庆林.非线性平衡方程初值化方法及其在中期数值天气预报试验中的应用[J].应用气象学报,1987,2(2):113-122.
作者姓名:郑庆林
作者单位:1.气象科学研究院天气动力研究所
摘    要:本文给出了一种求解非线性平衡方程的新的有效的方法及有关的数值试验结果。和以往的求解方法相比,本方法的优点是:收敛速度快,不需要冗长的迭代计算,也不需要对初始高度场的某些记录作修改,并能节省大量的计算时间。文中利用北半球七层原始方程谱模式,使用了1982年的客观分析资料,进行中期数值天气预报试验。试验结果表明,用非线性平衡方程初值化方法制作中期数值预报比其他的如线性平衡方程初值化方程的更佳。后者因去掉了非线性项的作用,天气系统的强度预报结果偏弱且偏平滑。


Experiments on the Medium-range Numerical Weather Prediction
Affiliation:(Institute of Synoptic and Dynamic Meteorology, AMS)
Abstract:The initialization scheme of nonlinear balance equation is a more useful method not only in the balance model but also in the primitive equation model. But as we know that the routine method for solving the nonlinear balance equation contains the exaction of the square root, this operation consists of many operations of arithmetic in computing. Especially this calculation is to be performed at every gridpoint in every step of iteration, and to be required more iteration times. So the amounts of computations are considerably large. In this paper, a new and very efficient method for solving the nonlinear balance equation is proposed, and the difficulties mentioned above have been already removed. The experiments on medium-range numerical weather prediction are performed by using the seven-level spectral model with different initialization schemes including the nonlinear balance equation, linear balance equation, “nongeostrophic stream function”, and simply geostrophic wind. From the results, we can see that the nonlinear balance equation initialization scheme is the best one. Because of the absence of nonlinear terms in the linear balance equation initialization scheme, the forecasting results of weather system are rather smooth and weak
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