TITLE:
Assessing Relative Dispersion
AUTHORS:
Thomas C. Redd, Amal El Moghraby, Tyler J. Tillman
KEYWORDS:
Relative Dispersion, Finite Strain, Hyperbolic Trajectories, Standard Map, Rossby Wave
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.11,
November
17,
2017
ABSTRACT: 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.