Dynamics and transport properties of three surface quasigeostrophic point vortices.
Dynamics and transport properties of three surface quasigeostrophic point vortices.
复制标题
三个表面准地转点涡的动力学和传输特性。
DOI：
10.1063/1.4967806
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发表时间：
2016
期刊：
影响因子：
2.9
通讯作者：
Stefan G. Llewellyn Smith
中科院分区：
文献类型：
--
作者：
C. K. Taylor;Stefan G. Llewellyn Smith
地面准地转（SQG）方程组是一个低Rossby数地球物理流动的模型，其中动力学由边界上的位温动力学控制。我们研究了该模型的点涡解以及由三点涡引起的混沌流。利用Poincaré映射和有限时间编织指数（FTBE）技术研究了由这些流动引起的混沌输运。这种混沌传输是流动中混合的代表，这些术语在这项工作中可以互换使用。与二维点涡相比，SQG涡产生的流动具有更高的FTBE，表明更多的混合。选择结果分析混合任意涡强度。
The surface quasi-geostrophic (SQG) equations are a model for low-Rossby number geophysical flows in which the dynamics are governed by potential temperature dynamics on the boundary. We examine point vortex solutions to this model as well as the chaotic flows induced by three point vortices. The chaotic transport induced by these flows is investigated using techniques of Poincaré maps and the Finite Time Braiding Exponent (FTBE). This chaotic transport is representative of the mixing in the flow, and these terms are used interchangeably in this work. Compared with point vortices in two-dimensional flow, the SQG vortices are found to produce flows with higher FTBE, indicating more mixing. Select results are presented for analyzing mixing for arbitrary vortex strengths.