Abstract
The trajectories of satellite tracked drifters that are assumed to represent fluid parcels motions in large and meso-scale oceanic flows have been shown previously i) to be physical fractals, ii) to behave as self-affine random walks, iii) to possess the scaling exponent approximately equal to the inverse of their fractal dimension, iv) to obey a superdiffusion law and v) to exhibit mild multiscaling (multifractality). A quasi-linear Torino model of drifter motion has proved successful in reproducing the first four of these features but not the fifth. In this paper a non-linear extension of this model taking into account vortex trapping and hopping is developed to remedy the situation.
The work was carried out mainly when at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, U. K.
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Fradkin, L.J., Osborne, A.R. (1997). A Non-Linear Model for Fluid Parcel Motions in the Presence of Many Large and Meso-Scale Vortices. In: Molchanov, S.A., Woyczynski, W.A. (eds) Stochastic Models in Geosystems. The IMA Volumes in Mathematics and its Applications, vol 85. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8500-4_4
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