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Similarity Theory in the Surface Layer of Large-Eddy Simulations of the Wind-, Wave-, and Buoyancy-Forced Southern Ocean

机译:风,浪和浮力强迫的南洋大涡模拟表面层的相似性理论

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Monin-Obukhov similarity theory is applied to the surface layer of large-eddy simulations (LES) of deep Southern Ocean boundary layers. Observations from the Southern Ocean Flux Station provide a wide range of wind, buoyancy, and wave (Stokes drift) forcing. Two No-Stokes LES are used to determine the extent of the ocean surface layer and to adapt the nondimensional momentum and buoyancy gradients, as functions of the stability parameter. Stokes-forced LES are used to modify this parameter for wave effects, then to formulate dependencies of Stokes similarity functions on a Stokes parameter xi. To account for wind-wave misalignment, the dimensional analysis is extended with two independent variables, namely, the production of turbulent kinetic energy in the surface layer due to Stokes shear and the total production, so that their ratio gives xi. Stokes forcing is shown to reduce vertical shear more than stratification, and to enhance viscosity and diffusivity by factors up to 5.8 and 4.0, respectively, such that the Prandtl number can exceed unity. A practical parameterization is developed for xi in terms of the meteorological forcing plus a Stokes drift profile, so that the Stokes and stability similarity functions can be combined to give turbulent velocity scales. These scales for both viscosity and diffusivity are evaluated against the LES, and the correlations are nearly 0.97. The benefit of calculating Stokes drift profiles from directional wave spectra is demonstrated by similarly evaluating three alternatives.
机译:Monin-Obukhov相似性理论被应用于深海南部边界层的大涡模拟(LES)的表层。南部海洋通量站的观测结果提供了广泛的风,浮力和波浪(斯托克斯漂移)强迫。两个No-Stokes LES用于确定海洋表层的范围,并根据稳定性参数来适应无量纲动量和浮力梯度。斯托克斯强制LES用于修改此参数以产生波浪效果,然后用公式表示斯托克斯相似性函数对斯托克斯参数xi的依赖性。为了解决风浪失准问题,尺寸分析扩展了两个独立变量,即斯托克斯剪切力在表层产生的湍动能和总产量,因此它们的比率为xi。斯托克斯强迫被显示出比分层更能减少垂直剪切力,并且通过分别高达5.8和4.0的因数来提高粘度和扩散性,以使普朗特数可以超过1。根据气象强迫和斯托克斯漂移剖面为xi开发了实用的参数化方法,以便可以将斯托克斯和稳定性相似性函数组合起来以给出湍流速度尺度。针对LES评估了粘度和扩散率的这些比例,相关系数接近0.97。通过类似地评估三个替代方案,可以证明从定向波谱计算斯托克斯漂移轮廓的好处。

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