摘要
采用时间延迟技术，利用高性能的超声风温仪和红外湿度脉动仪所测得的大气湍流脉动资料，重构相空间中的湍流吸引子，估算了其相关维Ｄ２和最大Ｌｙａｐｕｎｏｖ指数λ１。结果表明，在不同地点、不同时间以及不同大气稳定度条件下，大气湍流的最大Ｌｙａｐｕｎｏｖ指数λ１均大于零，说明大气湍流的确具有混饨特征，且存在低维奇怪吸引子，其维数在３～７之间，视变量的不同（动力变量还是非动力变量）而不同，且受大气稳定度影响。首次使用了湍流动能来重建湍流吸引子。
The attractor of turbulent flow in the phase space was reconstructed by using the time de- lay technique with the observed data of atmospheric turbulence which include the high resolution temperature, humidity and three components wind speed data in Gansu and Beijing. The correlation dimension and the largest Lyapunov exponent are estimated. The results indicate that all the largest Lyapunov exponent in different conditions of time, site and atmospheric stability are greater than zero. This means that atmospheric turbulence system is really chaotic and has appropriate low dimension strange attractors, dimension numbers of which are found to be between 3 to 7 and vary with different variables (dynamical variables or non-dynamical variables) and atmospheric stability. The turbulent kinetic energy is first applied to reconstruct the attractor of turbulence, as is found to be feasible.
出处
《气候与环境研究》
CSCD
2001年第1期58-66,共9页
Climatic and Environmental Research
基金
国家自然科学基金!49975008
中国科学院知识创新工程项目!KZCX2-204
