摘要
Lorenz模型中取Prandtl数σ=10能得出混沌解不足以解释自然界中最重要的流体——空气和水中的湍流。本文考虑基本场对扰动场的作用,部分地引入了动量平流项的影响,建立了一个四模扩展Lorenz模型。该模型能在σ等于1时给出混乱的、非周期的输出即混沌,从而帮助解释了大气及水中湍流的发生,同时也说明基流对混沌的产生具有重要的作用。
The Lorenz Model of σ=10( where a is the Prandtl number) can not sufficiently explain turbulence in air and water, the most important kinds of natural fluid. In this paper, we develop a 4-mode expanded Lorenz model, considering the effect of basic flow on perturbational one. Let σ = l, this model can give chaotic or non-periodic output. This helps us to explain the occurence of turbulence ia air and water. It is also illustrated that the basic flow has an important effect on the occ-uresce of chaos.
出处
《气象科学》
CSCD
北大核心
1990年第2期147-156,共10页
Journal of the Meteorological Sciences
