Assessing Relative Dispersion

• 作者: Amal El Moghraby Thomas C. Redd Tyler J. Tillman
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: RELATIVE DISPERSION Finite STRAIN HYPERBOLIC Trajectories Standard Map ROSSBY Wave
• 年，卷（期）: 2017,（11）
• 页码范围: 1572-1589
• 页数: 18页
• 分类号: O1

摘要

We assess the four point method of relative dispersion proposed by Jones and Winkler to identify the hyperbolic trajectories of a system. We sample a discrete analog to a quasi-geostrophic, single layered flow field and perform a comparison of the dispersion of neighboring points after iteration. We evaluate our method by performing a transformation to (x, y) space and comparing the trajectories corresponding to maximum dispersion with the (x, y) values of trajectories of the Standard map, derived from traditional techniques. We perform a similar evaluation using a 2D Ross by wave. We show that the method of relative dispersion is able to generate 2nd order accurate (on the scale of the discretization) hyperbolic trajectories.