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arXiv 2011.12094physics.flu-dynmath.DS
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海洋混合层中波浪对海流的随机影响

Stochastic effects of waves on currents in the ocean mixed layer

Darryl D. Holm, Ruiao Hu

摘要:

本文介绍了一个研究波浪对海洋混合层中海流影响的能量守恒随机模式。该模型被称为李输运随机强迫(SFLT)。SFLT模型是由随机约束变分原理导出的,因此它具有开尔文环流定理。这里给出的SFLT的例子处理三维欧拉流体流动,旋转浅水动力学和Euler-Boussinesq方程。在每个例子中,可以看到随机斯托克斯漂移和物质夹带在流体循环的产生中的影响。我们还提出了一个欧拉平均SFLT模型(EA SFLT)的基础上分解的能量守恒SFLT模型的欧拉解的期望值和波动的总和。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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