Geophysical flows under location uncertainty, Part III SQG and frontal dynamics under strong turbulence conditions
Geophysical flows under location uncertainty, Part III SQG and frontal dynamics under strong turbulence conditions
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DOI：
10.1080/03091929.2017.1312102
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发表时间：
2017-01-01
影响因子：
1.3
通讯作者：
Chapron, B.
中科院分区：
文献类型：
--
作者：
Resseguier, V.;Memin, E.;Chapron, B.
在假设速度的一个分量在时间上不相关的情况下，推导了位置不确定情况下的模型。因此，材料导数被修改为包括平流校正、非均匀和各向异性扩散项和乘性噪声贡献。这一变化可以一致地应用于所有流体动力学演化规律。本文将继续探讨这一框架的好处以及具体比例假设的后果。从位置不确定条件下的Boussinesq模式出发，建立了一个描述具有较强亚中尺度活动的中尺度流动的模式。具体地说，湍流扩散和旋转效应具有相似的数量级。结果表明，地转平衡被修正，准地转假设显著地导致位涡为零。随后的地表准地转模式提供了暖锋溶解和冷锋生成的简单诊断。
Models under location uncertainty are derived assuming that a component of the velocity is uncorrelated in time. The material derivative is accordingly modified to include an advection correction, inhomogeneous and anisotropic diffusion terms and a multiplicative noise contribution. This change can be consistently applied to all fluid dynamics evolution laws. This paper continues to explore benefits of this framework and consequences of specific scaling assumptions. Starting from a Boussinesq model under location uncertainty, a model is developed to describe a mesoscale flow subject to a strong underlying submesoscale activity. Specifically, turbulent diffusion and rotation effects have similar orders of magnitude. As obtained, the geostrophic balance is modified and the Quasi-Geostrophic assumptions remarkably lead to a zero Potential Vorticity. The ensuing Surface Quasi-Geostrophic model provides a simple diagnosis of warm frontolysis and cold frontogenesis.