非压缩性流体的湍流理论

 本文是作者50年的湍流研究工作的一个总结. 整个研究工作分成 4个阶段. 第一阶段是在上一世纪的40年代，提出研究湍流必须研究脉动 速度场，给出了湍流模式理论的基础. 第二阶段是上一世纪的50年代到 60年代，提出了先求解后平均的旋涡结构的湍流统计理论. 第三阶段是 上一世纪的70年代，他和黄永念提出了准相似性假设，完成了均匀各向 同性湍流统计理论的工作. 第四阶段是上一世纪的80年代到90年代初， 提出了广义准相似性假设，给出了处理一般具有剪应力的湍流流动的奇 阶截断法和逐级逼近法.

ON THE THEORY OF TURBULENCE FOR INCOMPRESSIBLE FLUIDS

In this paper the author summarized his fifty years work about the turbulence researches.The whole work is divided into four stages. The first stage is the 1940's, he pointed out that it shouldconsider the turbulent fluctuation motion equations with the mean motion equations, and gave thebasis of the turbulent modelling theory. The second stage is from 1950's to 1960's, he set out thestatistical vorticity structure theory of turbulence, which is first to solve the Navier-Stokes equa-tions then take the average methods. The third stage is the 1970's, he and Huang Yongnian setout the pseudo-similarity assumption and complete the statistical theory of homogeneous isotropicturbulence. The fourth stage is from 1980's to early 1990's, he gave the generalized pseudo-similarityassumption and set out the method of odd order truncation and the method of successive approxi-mation for the general turbulent shear flow.