(1+1)-dimensional turbulence

被引:24
作者
Benzi, R
Biferale, L
Tripiccione, R
Trovatore, E
机构
[1] UNIV ROMA TOR VERGATA,INFM,DIPARTIMENTO FIS,I-00133 ROME,ITALY
[2] IST NAZL FIS NUCL,SEZ PISA,I-50100 PISA,ITALY
[3] UNIV CAGLIARI,INFM,DIPARTIMENTO FIS,I-09124 CAGLIARI,ITALY
关键词
D O I
10.1063/1.869356
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A class of dynamical models of turbulence living on a one-dimensional dyadic-tree structure is introduced and studied. The models are obtained as a natural generalization of the popular GOY shell model of turbulence. These models are found to be chaotic and intermittent. They,represent the first example of (1+1)-dimensional dynamical systems possessing non trivial multifractal properties. The dyadic structure allows us to study spatial and temporal fluctuations. Energy dissipation statistics and its scaling properties are studied. The refined Kolmogorov hypothesis is found to hold. (C) 1997 American Institute of Physics.
引用
收藏
页码:2355 / 2363
页数:9
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