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
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.
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页码:972 / 980
页数:9
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