GEOMETRIC STATISTICS IN TURBULENCE

被引：213

作者：

CONSTANTIN, P

机构：

[1] Univ of Chicago, Chicago, IL

来源：

SIAM REVIEW | 1994年 / 36卷 / 01期

关键词：

DISSIPATION; VORTICITY; ACTIVE SCALARS; STRUCTURE FUNCTION;

D O I：

10.1137/1036004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The author presents results regarding certain average properties of incompressible fluids derived from the equations of motion. The author estimates the average dissipation rate, the average dimension of level sets. The role played by the field of direction of vorticity in the three-dimensional Euler and Navier-Stokes equations is discussed and a class of two-dimensional equations that are useful models of incompressible dynamics is described. The author presents results concerning scaling exponents in turbulence.

引用

页码：73 / 98

页数：26

共 46 条

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[2]

Batchelor G. K., 1960, THEORY HOMOGENEOUS T

[3] VORTICITY INTENSIFICATION AND TRANSITION TO TURBULENCE IN THE 3-DIMENSIONAL EULER EQUATIONS [J].