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Resolution dependent relative dispersion statistics in a hierarchy of ocean models
Authors:Andrew C Poje  Angelique C Haza  Tamay M Özgökmen  Marcello G Magaldi  Zulema D Garraffo
Institution:1. Department of Mathematics, College of Staten Island, CUNY, Staten Island, NY 10314, United States;2. RSMAS/MPO, University of Miami, Miami, FL, United States;3. Department of Earth and Planetary Sciences, Johns Hopkins University, Baltimore, MD, United States;4. Center for Computational Science, University of Miami, Miami, FL, United States;1. Cooperative Institute for Marine and Atmospheric Studies, University of Miami, Miami, FL, USA;2. Atlantic Oceanographic and Meteorological Laboratory, NOAA, Miami, FL, USA;3. Institute of Earth Sciences, Saint Petersburg State University, Saint Petersburg, Russia;4. Marine Hydrophysical Institute of Russian Academy of Sciences, Sevastopol, Russia;1. Shirshov Institute of Oceanology, Nakhimovsky Prospect, 36, 117998 Moscow, Russia;2. Marine Systems Institute, Tallinn University of Technology, Akadeemia tee, 15 A, 12618 Tallinn, Estonia;3. Moscow Institute of Physics and Technology (State University), 141700 Dolgoprudny, Russia;1. Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Minin Str. 24, Nizhny Novgorod, 603950 Russia;2. Institute of Applied Physics, Ulyanov Str. 46, Nizhny Novgorod, 603950 Russia;3. Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia;1. Istituto Scienze Marine (ISMAR), Consiglio Nazionale delle Ricerche (CNR), La Spezia, Italy;2. Johns Hopkins University, Department of Earth and Planetary Science, Baltimore, MD, USA;1. Consiglio Nazionale delle Ricerche IAMC, Oristano, Italy;2. Istituto Nazionale di Geofisica e Oceanografia, Trieste, Italy;3. Consiglio Nazionale delle Ricerche INSEAN, Roma, Italy;4. Istituto Nazionale di Geofisica e Vulcanologia, Bologna, Italy
Abstract:In order to determine the effect of Eulerian spatial resolution on the two particle statistics of synthetic drifter trajectories, we examine a hierarchy of ocean models, starting from 2D turbulence simulations, progressing to idealized simulations of a buoyant coastal jet with ROMS, and finally to realistic HYCOM simulations of the Gulf Stream. In each case, particle dispersion at large time and space scales is found to be controlled by energetic meso-scale features of the flow that are relatively insensitive to the resolution of finer scale motions. In all cases, time-distance graphs given in terms of computed Finite Scale Lyapunov Exponents show an expected increase in the extent of exponential scaling with increasing spatial smoothing of the velocity field. The limiting value of the FSLE at small separation distances is found to scale remarkably well with the resolution of Eulerian velocity gradients as given by the average of positive Okubo–Weiss parameter values.
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