Structure functions of fully developed hydrodynamic turbulence: An analytical approach

被引：9

作者：

Zybin, K. P. ^{[1
]}

Sirota, V. A. ^{[1
]}

Ilyin, A. S. ^{[1
]}

机构：

[1] PN Lebedev Phys Inst, Moscow 119991, Russia

来源：

PHYSICAL REVIEW E | 2010年 / 82卷 / 05期

关键词：

TRANSVERSE STRUCTURE FUNCTIONS; DYNAMICS; STATISTICS;

D O I：

10.1103/PhysRevE.82.056324

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We develop a theory of turbulence based on the inviscid Navier-Stokes equation, without using dimensional or phenomenological considerations. The theory allows us to obtain the scaling law and to calculate the scaling exponents of the Lagrangian and Eulerian velocity structure functions in the inertial range. The obtained results are shown to be in very good agreement with numerical simulations and experimental data. The introduction of stochasticity into the equations is discussed in detail. The main equation of the theory obtained directly from the Navier-Stokes equation is analyzed by means of continual integration.

引用

页数：14

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