One-dimensional model of freely decaying two-dimensional turbulence

被引：0

作者：

Campanelli, Leonardo ^{[1
]}

机构：

[1] All St Univ, Asudom Acad Sci, 5145 Steeles Ave, Toronto, ON, Canada

来源：

JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2022年 / 80卷 / 10期

关键词：

Two-dimensional turbulence; Shell models; Analytical methods;

D O I：

10.1007/s40042-022-00437-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a discrete shell model for two-dimensional turbulence that takes into account local and nonlocal interactions between velocity modes in Fourier space. In real space, its continuous limit is described by the one-dimensional Burgers equation. We find a novel approximate scaling solution of such an equation and show that it well describes the main characteristics of the energy spectrum in fully developed, freely decaying two-dimensional turbulence.

引用

页码：972 / 980

页数：9

共 12 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS F

[2]

Batchelor GK., 1969, PHYS FLUIDS S2, V12, P233, DOI [DOI 10.1063/1.1692443, 10.1063/1.1692443]

[3]

Biskamp D., 2003, Magnetohydrodynamic Turbulence

[4] Two-Dimensional Turbulence [J].

Boffetta, Guido ;

Ecke, Robert E. .

ANNUAL REVIEW OF FLUID MECHANICS, VOL 44, 2012, 44 :427-451

[5] Dimensional analysis of two-dimensional turbulence [J].

Campanelli, Leonardo .

MODERN PHYSICS LETTERS B, 2019, 33 (19)

[6] On the large-scale structure of homogeneous two-dimensional turbulence [J].

Davidson, P. A. .

JOURNAL OF FLUID MECHANICS, 2007, 580 :431-450

[7]

Davidson P. A., 2004, Turbulence

[8]

Ditlevsen P.D, 2011, Turbulence and Shell Models

[9]

Frisch U., 2001, ARXIVNLIN0012033NLIN, P341

[10] STATISTICAL DYNAMICS OF 2-DIMENSIONAL FLOW [J].

KRAICHNAN, RH .

JOURNAL OF FLUID MECHANICS, 1975, 67 (JAN14) :155-175

← 1 2 →