Conjugate flows for waves with trapped cores
Conjugate flows for waves with trapped cores
复制标题
具有俘获核心的波的共轭流
DOI：
10.1063/1.1811551
复制
发表时间：
2004
影响因子：
4.6
通讯作者：
K. Wilkie
中科院分区：
文献类型：
--
作者：
K. Lamb;K. Wilkie
先前的数值模拟表明，在有界流体中，具有俘获核心的内部孤立波在其中心水平上变得均匀，并且具有取决于核心内再循环流的细节的最大幅度[K. G. Lamb，“对通过浅滩形成的被困核心的孤立内波的数值研究”，J. Fluid Mech。 451, 109 (2002)]。这些波的水平均匀中心的流动称为共轭流。这里提出了具有俘获核心（也称为涡核）的共轭流的理论模型。假设核心中的流动是稳定且密度恒定的。开发了任意非均匀核心涡度的通用表达式，该表达式取决于核心中的表面速度和均方水平速度。针对下层密度恒定、上层浮力频率恒定的两层流体，给出了恒定涡度岩心的分析结果。比较...
Previous numerical simulations have shown that in a bounded fluid, internal solitary waves with trapped cores become horizontally uniform in their center and have a maximum amplitude that is dependent on the details of the recirculating flow inside the core [K. G. Lamb, “A numerical investigation of solitary internal waves with trapped cores formed via shoaling,” J. Fluid Mech. 451, 109 (2002)]. The flow in the horizontally uniform center of these waves is called a conjugate flow. Here a theoretical model for conjugate flows with a trapped core (also called a vortex core) is presented. The flow in the core is assumed to be steady with constant density. General expressions for arbitrary nonuniform core vorticity are developed which depend on the surface velocity and the mean squared horizontal velocity in the core. Analytic results for cores with constant vorticity are presented for a two-layer fluid with constant density in the lower layer and constant buoyancy frequency in the upper layer. Comparisons of...