Stratified Kolmogorov flow. Part 2

被引:31
作者
Balmforth, NJ
Young, YN
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[2] Univ British Columbia, Dept Earth & Ocean Sci, Vancouver, BC V6T 1Z2, Canada
[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
关键词
D O I
10.1017/S002211200400271X
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Forced stratified flows are shown to suffer two types of linear long-wave instability: a viscous' instability which is related to the classical instability of Kolmogorov flow, and a 'conductive instability', with the form of a large-scale, negative thermal diffusion. The nonlinear dynamics of both instabilities is explored with weakly nonlinear theory and numerical computations. The introduction of stratification suppresses the viscous instability, but also makes it subcritical. The second instability arises with stronger stratification and creates a prominent staircase in the buoyancy field; the steps of the staircase evolve over long timescales by approaching one another, colliding and merging (coarsening the staircase).
引用
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页码:23 / 42
页数:20
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