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A local eddy viscosity parameterization for wind-driven estuarine exchange flow. Part I: Stratification dependence
Progress in Oceanography ( IF 3.8 ) Pub Date : 2021-03-05 , DOI: 10.1016/j.pocean.2021.102548
N. Berkay Basdurak , Hans Burchard , Henk M. Schuttelaars

A new parameterization for the estuarine turbulent eddy viscosity coefficient is developed considering the influence of wind forcing and feedback between stratification and shear. The emerging tidally averaged eddy viscosity profile AvT is parameterized as parabolic under well-mixed conditions, and is composed of a skewed-Gaussian-like form for the upper layer, and a parabolic form for the bottom layer under stratified conditions. The precise shape of the profiles depends parametrically on the bottom boundary layer thickness, the bulk Richardson number, and the Wedderburn number. The parameterized AvT profiles show excellent agreement with profiles obtained from numerical models. To explore the importance of vertically varying AvT with regard to exchange processes, an analytical model is designed. This one-dimensional model is based on a balance between frictional forces and pressure gradient. The resulting exchange flow is analyzed over the relevant parameter space that is associated with horizontal and vertical stratification through the bulk Richardson number, and the bi-directional wind stress via the Wedderburn number. Down-estuary wind enhances the up-estuary flow near the bottom and down-estuary flow near the surface driving an exchange flow pattern typically associated with gravitational circulation. Up-estuary wind results in either a two-layer inverted circulation opposing the gravitational circulation, or a three-layer flow that is up-estuarine at the surface with classical two-layer circulation underneath. Three-layer flow emerges with a weak wind. With increasing runoff velocity, three-layer flow transitions to a single layer flow under weak stratification conditions.



中文翻译:

风驱动的河口交换流的局部涡流粘度参数化。第一部分:分层依赖

考虑到风的强迫和分层与剪切之间的反馈作用,开发了一种新的河口湍流涡流粘度系数的参数化方法。新兴的潮汐平均涡流粘度曲线一种vŤ在充分混合的条件下,其参数化为抛物线形,并且在分层条件下,由上层的倾斜高斯型形式和底层的抛物线型组成。轮廓的精确形状在参数上取决于底部边界层的厚度,整体Richardson数和Wedderburn数。参数化一种vŤ轮廓与从数值模型获得的轮廓显示出极好的一致性。探索垂直变化的重要性一种vŤ关于交换过程,设计了一个分析模型。该一维模型基于摩擦力和压力梯度之间的平衡。在相关参数空间上分析所得的交换流,该参数空间与通过总体Richardson数进行的水平和垂直分层以及通过Wedderburn数进行的双向风应力相关。河口向下的风增强了底部附近的河口向上的流动,并增加了地表附近的河口向下的流动,从而驱动了通常与重力循环有关的交换流型。上河口风导致与重力循环相反的两层倒流,或在地表上河口的三层流,其下方为经典的两层循环。三层气流以弱风出现。

更新日期:2021-03-15
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