关于平衡方程的差分解法

ON THE METHOD FOR SOLVING THE BALANCE EQUATION IN FINITE DIFFERENCE FORM

中文摘要:

      用地转近似来表示风和气压场的关系,在低纬度地区不适用,预报效果不好;如果用平衡方程来代替,则可以克服这个困难。本文简述了关于这方程现有的差分解法(1955—1958年),并提出两个新的解法。计算结果可以证明,这两个方法之一可以包括Bolin的方法,即后者是前者的一个特例。

英文摘要:

      It is well-knoww that the balance equation, in a sense, is a generalization of the geostrophic relationship and maybe used in low latitudes where the latter is inapplicable. For this reason, in this paper, a brief report concerning several methods for solving the balance equation is presented and their advantages and shortcomings are discussed. Finally, two new methods are proposed. It can be shown that in some cases the two methods are both convergent and Bolin's method may be regarded as a special case of one of those methods.