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Statistics of velocity gradients in two-dimensional Navier-Stokes and\n ocean turbulence

2000/07/05 by Norbert Schorghofer, Norbert Schörghofer, Sarah T. Gille +2
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #Chaotic Dynamics (nlin.CD) #Climate variability and models #FOS: Physical sciences #Meteorological Phenomena and Simulations #Oceanographic and Atmospheric Processes #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #nlin.CD #physics.ao-ph

paper · pdf · doi:10.48550/arxiv.cond-mat/0007076

6 pages, 4 figures

openalex publication_date 2000/07/05 · arxiv created 2001/08/15 · arxiv updated 2009/11/30 · openalex created_date 2023/02/18 · openalex updated_date 2026/07/28

Abstract

Probability density functions and conditional averages of velocity gradients\nderived from upper ocean observations are compared with results from forced\nsimulations of the two-dimensional Navier-Stokes equations. Ocean data are\nderived from TOPEX satellite altimeter measurements. The simulations use rapid\nforcing on large scales, characteristic of surface winds. The probability\ndistributions of transverse velocity derivatives from the ocean observations\nagree with the forced simulations, though they differ from unforced simulations\nreported elsewhere. The distribution and cross-correlation of velocity\nderivatives provide clear evidence that large coherent eddies play only a minor\nrole in generating the observed statistics.\n

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