论文标题

波的随机影响对海洋混合层的电流

Stochastic effects of waves on currents in the ocean mixed layer

论文作者

Holm, Darryl D., Hu, Ruiao

论文摘要

本文介绍了一种能源保护随机模型,用于研究海洋混合层电流的波浪影响。该模型称为通过谎言传输(SFLT)的随机强迫。 SFLT模型在这里源自随机约束的变分原理,因此它具有开尔文循环定理。此处给出的SFLT的实例处理3D Euler流体流,旋转浅水动力学和Euler-Boussinesq方程。在每个示例中,人们都会看到随机Stokes漂移和物质夹带在流体循环产生中的影响。我们还基于将能量持续的SFLT模型的欧拉解决方案分解为其期望和波动的总和,这也提出了一个欧拉尔平均的SFLT模型(EA SFLT)。

This paper introduces an energy-preserving stochastic model for studying wave effects on currents in the ocean mixing layer. The model is called stochastic forcing by Lie transport (SFLT). The SFLT model is derived here from a stochastic constrained variational principle, so it has a Kelvin circulation theorem. The examples of SFLT given here treat 3D Euler fluid flow, rotating shallow water dynamics and the Euler-Boussinesq equations. In each example, one sees the effect of stochastic Stokes drift and material entrainment in the generation of fluid circulation. We also present an Eulerian-averaged SFLT model (EA SFLT), based on decomposing the Eulerian solutions of the energy-conserving SFLT model into sums of their expectations and fluctuations.

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