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Numerical simulation of relative dispersion in two-dimensional, homogeneous, decaying turbulence

Published online by Cambridge University Press:  20 April 2006

A. D. Kowalski  and
R. L. Peskin
A. D. Kowalski
Affiliation:
Department of Mechanical, and Aerospace Engineering, Geophysical Fluid Dynamics Program, Rutgers University, New Brunswick, New Jersey, 08903
R. L. Peskin
Affiliation:
Department of Mechanical, and Aerospace Engineering, Geophysical Fluid Dynamics Program, Rutgers University, New Brunswick, New Jersey, 08903
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Abstract

Lagrangian statistical results are presented from numerical simulations of an ensemble of fluid particles which were generated from a two-dimensional pseudospectral code. The single-particle results are in qualitative agreement with previous simulations on a lower-resolution grid. The two-particle, relative velocity correlations were found to fall off more rapidly than the single-particle correlations for short to intermediate times due to large-scale eddy advection in the single-particle case. The temporal behaviour of the mean square relative separation, 〈rl2〉, is analysed for short to intermediate times and is found to be consistent with scaling arguments based on Kraichnan's expression for the non-local strain acting in the high-wavenumber enstrophy cascade spectral range. For longer times, 〈rl2〉 exhibits tn behaviour. The power-law region is associated with the locally determined strain rates which characterize a backward energy-cascade spectrum.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 109 , August 1981 , pp. 45 - 61
Copyright
© 1981 Cambridge University Press

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