Lagrangian flows within reflecting internal waves at a horizontal free-slip surface
Lagrangian flows within reflecting internal waves at a horizontal free-slip surface
复制标题
水平自由滑移表面反射内波内的拉格朗日流
DOI：
10.1063/1.4936578
复制
发表时间：
2015
影响因子：
4.6
通讯作者：
P. Diamessis
中科院分区：
文献类型：
--
作者：
Qi Zhou;P. Diamessis
在这篇论文的续篇中，周和Diamessis[“内部重力波束在水平自由滑动面上的反射”，物理。流体25,036601(2013年)]，我们考虑拉格朗日流动在非线性内波(IWS)反射水平自由滑动刚性盖子，后者是一个海洋表面的模型。在欧拉流的直接数值模拟数据集中，通过跟踪拉格朗日流体颗粒，用小振幅近似从解析和数值两方面解决了这一问题。对平面IWS和IW光束(IWB)的无粘性小幅度分析表明，波-波相互作用和波致Stokes漂移引起的欧拉平均流在波陡度A的第二阶完全抵消，即O(A2)，这意味着直到该阶的拉格朗日平均流为零。然而，从周和Diamessis的工作在有限雷诺数完全非线性的DNS数据集中进行的高精度粒子跟踪表明，O(A2)上的Euler-Stokes抵消是不准确的。
In this paper sequel to Zhou and Diamessis [“Reflection of an internal gravity wave beam off a horizontal free-slip surface,” Phys. Fluids 25, 036601 (2013)], we consider Lagrangian flows within nonlinear internal waves (IWs) reflecting off a horizontal free-slip rigid lid, the latter being a model of the ocean surface. The problem is approached both analytically using small-amplitude approximations and numerically by tracking Lagrangian fluid particles in direct numerical simulation (DNS) datasets of the Eulerian flow. Inviscid small-amplitude analyses for both plane IWs and IW beams (IWBs) show that Eulerian mean flow due to wave-wave interaction and wave-induced Stokes drift cancels each other out completely at the second order in wave steepness A, i.e., O(A2), implying zero Lagrangian mean flow up to that order. However, high-accuracy particle tracking in finite-Reynolds-number fully nonlinear DNS datasets from the work of Zhou and Diamessis suggests that the Euler-Stokes cancelation on O(A2) is not c...