混沌理论与大气边界层湍流研究

简述了混沌理论的发展及其判别方法,阐明混沌理论的建立给大气科学中的湍流研究带来了新的启示;介绍了近期混沌理论在大气边界层湍流研究中的应用结果,这些结果表明大气边界层湍流具有很强的混沌特性,且存在低维奇怪吸引子。最后提出了有待进一步研究的问题。

CHAOS THEORY AND ITS APPLICATIONS TO ATMOSPHERIC BOUNDARY LAYER TURBULENCE RESEARCH

This paper mainly consists of four sections,its purpose is to give a brief overview of chaos theory and to discuss its applications to the atmospheric boundary layer turbulence in detail.We usually cite the original references and more recent review papers so that interested readers can easily find more detail concerning particular fields of study.Chaos theory and method for characterizing chaos are presented in section 2,including phase space reconstruction method,definition and calculation of fractal dimension and Lyapunov exponents.Applications of chaos theory to the atmospheric boundary layer turulence are discussed in section 3,recent research work of author is introduced:a large amount of observed data obtained by the sonic anemometer from two different field experiments at different places of China is analyzed,which is shown that all time series of atmospheric turbulence fluctuation exhibit chaotic behavior,with strange attractors whose(correlation)dimensions range from 3 to 7,all the maximum Lyapunov exponents are great than zero,as well as,it is first put forward that turbulence kinetic energy derived from turbulence wind speed as a variation is made use of calculating fractal dimension and the maximum lyapnunov exponent to characterize chaos.Finally,some suggestions for further work are given in section 4.