Spectral reduction: A statistical description of turbulence

被引：18
|
作者：
Bowman, JC [1 ]
Shadwick, BA
Morrison, PJ
机构：
[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
[2] Inst Adv Phys, Conifer, CO 80433 USA
[3] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[4] Univ Texas, Dept Phys, Austin, TX 78712 USA
[5] Univ Texas, Inst Fus Studies, Austin, TX 78712 USA
来源：
PHYSICAL REVIEW LETTERS | 1999年 / 83卷 / 26期
关键词：
D O I：
10.1103/PhysRevLett.83.5491
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A method is described for predicting statistical properties of turbulence. Collections of Fourier amplitudes are represented by nonuniformly spaced modes with enhanced coupling coefficients. The statistics of the full dynamics can be recovered from the time-averaged predictions of the reduced model. A Liouville theorem leads to inviscid equipartition :solutions. Excellent agreement is obtained with two-dimensional forced-dissipative pseudospectral simulations. For the two-dimensional enstrophy : cascade, logarithmic corrections to the high-order structure:functions are observed.
引用
收藏
页码：5491 / 5494
页数：4
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