Assessing Relative Dispersion  

作　　者：Thomas C. Redd Amal El Moghraby Tyler J. Tillman 

机构地区：[1]Department of Mathematics, North Carolina A & T State University, Greensboro, NC, USA [2]Department of Mathematics, Davidson County Community College, Winston-Salem, NC, USA

出　　处：《Applied Mathematics》2017年第11期1572-1589,共18页应用数学（英文）

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.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.

关 键 词：RELATIVE DISPERSION FINITE Strain HYPERBOLIC Trajectories Standard Map ROSSBY Wave 

分 类 号：O1[理学—数学]