SPECTRA OF LOCAL AND NONLOCAL 2-DIMENSIONAL TURBULENCE

Citation
Rt. Pierrehumbert et al., SPECTRA OF LOCAL AND NONLOCAL 2-DIMENSIONAL TURBULENCE, Chaos, solitons and fractals, 4(6), 1994, pp. 1111-1116
Citations number
15
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
ISSN journal
09600779
Volume
4
Issue
6
Year of publication
1994
Pages
1111 - 1116
Database
ISI
SICI code
0960-0779(1994)4:6<1111:SOLAN2>2.0.ZU;2-K
Abstract
We propose a family of two-dimensional incompressible fluid models ind exed by a parameter alpha epsilon[0, infinity], and discuss the spectr al scaling properties for homogeneous, isotropic turbulence in these m odels. The family includes two physically realizable members. It is sh own that the enstrophy cascade is spectrally local for alpha < 2, but becomes dominated by nonlocal interactions for alpha > 2. Numerical si mulations indicate that the spectral slopes are systematically steeper than those predicted by the local scaling argument.