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Assessing Relative Dispersion

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Document pages: 18 pages

Abstract: We assess the four point method of relative dispersion proposed by Jones andWinkler to identify the hyperbolic trajectories of a system. We sample a discreteanalog to a quasi-geostrophic, single layered flow field and perform acomparison of the dispersion of neighboring points after iteration. We evaluateour method by performing a transformation to (x, y) space and comparingthe 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 showthat the method of relative dispersion is able to generate 2nd order accurate(on the scale of the discretization) hyperbolic trajectories.

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