湍流的分形特征

FRACTAL NATURE IN TURBULENCE

综述了湍流分维测量的最新成果，涉及湍流分维测量的传统证据、分维测量方法以及湍流分维测量成果，重点详细介绍了湍流分维测量的各种方法及其优缺点，讨论了各家的测量成果，指出了具有广泛影响的 Ｓｒｅｅｎｉｖａｓａｎ等人使用的分维测量方法存在的问题，介绍了作者最新的成果．最后，综述了Ｎ－Ｓ方程与分形、标度律、湍流的理论分形模型等与湍流分维应用相关的领域的最新进展．

The recent progresses in the measurement of fractal dimension of turbulent flows and its applications were reviewed in this paper, including the traditional evidences, measurement methods, the findings on fractal dimension of turbulent flows. The author discussed in detail various measurement methods and its application restrictions, the findings on fractal measurement by several researchers especially K.R. Sreenivasan and offered the author's newest measurement findings. The related research fields such as the relation between the Navier-Stokes equations and fractal, fractal theoretical models of turbulence and scaling laws in turbulence, are also discussed. Finally the further studies of fractal theory in turbulence are suggested.