A geometric interpretation of eddy Reynolds stresses in barotropic ocean jets

A geometric interpretation of eddy Reynolds stresses in barotropic ocean jets
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正压海洋急流中涡雷诺应力的几何解释

DOI:
10.1175/jpo-d-15-0139.1
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发表时间:
2016
影响因子:
3.5
通讯作者:
D. Marshall
D. Marshall
中科院分区:
地球科学2区
文献类型:
--
作者:
T. Tamarin;J. Maddison;E. Heifetz;D. Marshall

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本文通过涡动应力张量的几何分解,分析了正压涡动通量。具体而言,涡流方差椭圆的几何形状,一个二维可视化的应力张量描述的平均涡流形状和倾斜,是用来阐明涡流传播和涡流反馈的平均流量。线性剪切和射流剖面进行了分析,并与完全非线性模拟的理论结果进行了比较。对于行星涡度梯度为零的流动,获得了涡旋椭圆倾斜和各向异性的解析解,该解提供了涡旋倾斜和简正波解的相位差之间的直接关系。这使得一个简单的解释涡平均流相互作用的经典稳定性理论:最初不稳定的射流引起的涡流倾斜“反对剪切”,并提取能量从平均流;一旦射流稳定,涡流成为倾斜“与剪切”,并返回其能量的平均…
AbstractBarotropic eddy fluxes are analyzed through a geometric decomposition of the eddy stress tensor. Specifically, the geometry of the eddy variance ellipse, a two-dimensional visualization of the stress tensor describing the mean eddy shape and tilt, is used to elucidate eddy propagation and eddy feedback on the mean flow. Linear shear and jet profiles are analyzed and theoretical results are compared against fully nonlinear simulations. For flows with zero planetary vorticity gradient, analytic solutions for the eddy ellipse tilt and anisotropy are obtained that provide a direct relationship between the eddy tilt and the phase difference of a normal-mode solution. This allows a straightforward interpretation of the eddy–mean flow interaction in terms of classical stability theory: the initially unstable jet gives rise to eddies that are tilted “against the shear” and extract energy from the mean flow; once the jet stabilizes, eddies become tilted “with the shear” and return their energy to the mean ...
DOI: 10.1016/j.ocemod.2015.06.003
发表时间: 2015-08
期刊: Ocean Modelling
影响因子: 3.2
作者:
J. Maddison;D. Marshall;J. Shipton
通讯作者: J. Maddison;D. Marshall;J. Shipton
DOI: 10.1175/jpo-d-12-0152.1
发表时间: 2013-08
影响因子: 3.5
作者:
S. Waterman;B. Hoskins
通讯作者: S. Waterman;B. Hoskins
DOI: 10.1175/jpo-d-11-048.1
发表时间: 2012-04-01
影响因子: 3.5
作者:
Marshall, David P.;Maddison, James R.;Berloff, Pavel S.
通讯作者: Berloff, Pavel S.