Two-layer quasi-geostrophic turbulence in a simple special case

Two-layer quasi-geostrophic turbulence in a simple special case
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DOI:
10.1080/03091927808242628
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发表时间:
1978
影响因子:
1.3
通讯作者:
R. Salmon
R. Salmon
中科院分区:
地球科学4区
文献类型:
--
作者:
R. Salmon

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摘要 在层深相等、垂直能量密度均匀的情况下,两层旋转流的二次积分不变量与相应的二维湍流不变量非常相似。基于不变量和控制三元相互作用的选择规则的简单理论定性地解释了强制平衡流的主要特征。总体物理图景与莱茵斯图(1977)非常相似。在地球物理上有趣的情况下。净斜压能量在低波数处产生,并在相对非局域三元组相互作用中向他的波数移动,这种相互作用不受熵守恒约束的阻碍。能量转换为正压模式,并在更多的局部相互作用中移回低波数,这与二维湍流中的相互作用类似。平衡波数谱可以从简单的马尔可夫湍流闭合模型获得,其中湍流扰乱率的估计包括一个贡献...
Abstract In the case of equal layer depths and uniform vertical energy density, the quadratic integral invariants of two-layer rotating flow are close analogs of the corresponding invariants of two-dimensional turbulence. A simple theory based on the invariants and on the selection rules governing triad interactions qualitatively explains the major features of forced equilibrium flow. The general physical picture is very similar to that of Rhines (1977). In the geophysically interesting case. net baroclinic energy is produced at low wavenumbers and moves toward hisher wavenumbers in relatively nonlocal triad interactions which are unhampered by the constraint to conserve enstrophy. The energy converts to barotropic mode and moves back toward low wavenumbers in more local interactions which are similar to those in two-dimensional turbulence. Equilibrium wavenumber spectra are obtainable from a simple Markovian turbulence closure model in which the estimate of turbulent scramhling rate includes a contributi...