Equilibrium Geostrophic Turbulence I: A Reference Solution in a β-Plane Channel
Equilibrium Geostrophic Turbulence I: A Reference Solution in a β-Plane Channel
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平衡地转湍流 I：β 平面通道中的参考解
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
J. H. Chow
中科院分区：
文献类型：
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作者：
J. McWilliams;J. H. Chow
本文计算了β通道中准地转、绝热、斜压、风驱动流动的数值解。驱动和耗散的速率使得溶液在平衡时是湍流的。平衡状态的特点是动量（由等密度线形式阻力和水平雷诺应力发散）、质量和热量的剧烈湍流输送。涡的产生是通过平均位能的斜压转换。一个定义良好的惯性范围与幂律波数谱的发展在数值近似的内部扩散消失率的极限。在同一极限下，平均位涡梯度和涡度拟能也为零。热的诊断涡流扩散率（即，比例-v′T/Ty）在空间上几乎是均匀的。在很宽的水平尺度范围内，涡动能量在动能和位能之间近似均分。新喷流只是轻微的超临界，由一个整体的线性不稳定性标准，但它是高…
Abstract A numerical solution is calculated for quasi-geostrophic, adiabatic, baroclinic, wind-driven flow in a β channel. The rates of driving and dissipation are such that the solution is turbulent in equilibrium. The equilibrium state is characterized by vigorous turbulent transports of momentum (by isopycnal form drag and horizontal Reynolds stress divergence), mass and heat. Eddy generation is by baroclinic conversion of mean potential energy. A well-defined inertial range with power-law wavenumber spectra develops in a numerical approximation of the limit of vanishing rates of interior diffusion. In that same limit, mean potential vorticity gradients and eddy enstrophy also vanish. The diagnostic eddy diffusivity for heat (i.e., the ratio −v′T/Ty) is found to be nearly uniform in space. Eddy energies are in approximate equipartition between kinetic and potential over a wide range of horizontal scales. The mew jet is only slightly supercritical, by a global linear instability criterion, but it is hi...