Abstract: The typhoon atmospheric pressure models used rather widely in the calculation of typhoon wave at home and alroad are those of Meyers and Fujita at present.Obviously, these models cannot characterize the atmospheric fields of different ocean typhoon atmospheric structures as they can only reflect ideal ocean typhoon atmospheric pressure field distribution with symmetric circles which leads to the corresponding ocean typhoon field distribution. Consequently, with the further deepening studies on typhoon wave, drifting currents and storm Surge theories, it is a most interested topic in the fields of ocean development, ocean transportation, fisheries and military activities to find a kind of mathematical models which can characterize objectively the changes of ocean typhoon atmospheric pressure fields and wind fields. This paper deals with firstly the derivation of the mathematical models suitable for slowly moving typhoon ocean atmospheric fields and winds based on the Rankine composite vortex model; secondly the derivation of the optimized mathematical models of normally moving typhoon ocean atmospheric pressure fields based on the application of optimization and periodic sample function and thirdly on the basis of the evaluating of various mathematical models, the derivation of a generalized mathematical model suitable for ocean atmospheric pressure fields and wind fields with any given typhoon structure by the aid or correction nad spreading of the hyphotheses of Rankine and Matano. All the mathematical models presented in this paper can be concretized by computer calculation based on the historical typhoon data which will be introduced in another paper.

摘要： 目前国内外比较广泛应用于台风浪计算中的主要是Myers和藤田的台气压模式。它们仅反映对称圆的理想的海上台风气压场分布,由此而导出相应的海上台风风场分布。显然,它们不能表征不同海上台风的气压结构的气压场。然而,随着台风浪、漂流以及风暴潮理论研究的不断深入及其数值预报的广泛应用,寻找一种能表征客观变化的海上台风气压场、风场的数值模式,是海洋开发、海上交通、渔业及海上军事活动等各部门所极为关注的课题。本文主要探讨:(1)基于Rankine复合涡模式,导出适用于缓慢移动台风的海上气压场,风场的数值模式;(2)基于优选法和周期样条函数的应用,导出一般性移动台风海上气压场、风场的最优化数值模式;(3)在评述各种数值模式的基础上,应用Rankine,Matano的假定并予以改正推广导出适用于任意台风结构的海上气压场、风场的普遍性数值模式。本文所提出的这些数值模式,均可依据历史台风资料通过电子计算机予以实现,这方面的内容将在另文介绍。