摘要
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.
出处
《力学进展》
EI
CSCD
北大核心
2000年第4期581-596,共16页
Advances in Mechanics
关键词
湍流
分形
分维
N-S方程
标度律
湍流理论分形模型
turbulence, fractal, fractal dimension, Navier-Stokes equation, scaling law, fractal theoretical mo4