Multiscales and cascading in isotropic turbulence  

作　　者：RAN Zheng 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

出　　处：《Chinese Science Bulletin》2011年第27期2889-2892,共4页

基　　金：supported by the National Natural Science Foundation of China (90816013 and 10572083);the State Key Laboratory for Complexity and Turbulence Research

摘　　要：The explicit mapping method is used to analyze the nonlinear dynamical behavior for cascade in isotropic turbulence. This deductive scale analysis is shown to provide the first visual evidence of the celebrated Richardson-Kolmogorv cascade, and reveals in particular its multiscale character based on the statistical solutions of Navier-Stokes equations. The results also indicate that the energy cascading process has remarkable similarities with the deterministic construction rules of the logistic map. Cascade of period-doubling bifurcations have been seen in this isotropic turbulent system that exhibit chaotic behavior. The "cascade" appears as an infinite sequence of period-doubling bifurcations.The explicit mapping method is used to analyze the nonlinear dynamical behavior for cascade in isotropic turbulence. This deductive scale analysis is shown to provide the first visual evidence of the celebrated Richardson-Kolmogorv cascade, and reveals in particular its multiscale character based on the statistical solutions of Navier-Stokes equations. The results also indicate that the energy cascading process has remarkable similarities with the deterministic construction rules of the logistic map. Cascade of period-doubling bifurcations have been seen in this isotropic turbulent system that exhibit chaotic behavior. The ＂cascade＂ appears as an infinite sequence of period-doubling bifurcations.

关 键 词：各向同性湍流 级联过程 STOKES方程 倍周期分岔 动力学行为 映射方法 尺度分析 混沌行为 

分 类 号：O357.5[理学—流体力学]