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Velocity autocorrelations of decaying isotropic homogeneous turbulence

Huang, Mei-Jiau and Leonard, Anthony (1995) Velocity autocorrelations of decaying isotropic homogeneous turbulence. Physics of Fluids, 7 (10). pp. 2455-2464. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:HUApof95

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Abstract

Velocity autocorrelations and the mean-square displacements of fluid particles are obtained for decaying, isotropic homogeneous turbulence by numerical simulation of the flow field, using 1283 and 2563 grids, and tracking several tens of thousands of fluid particles, using a third-order interpolation scheme. A self-preserving Lagrangian velocity autocorrelation coefficient is found in terms of a dimensionless time variable s, defined by ds=dt/[script T]s(t), under the observation of a power-law energy decay and the assumption that [script T]s(t) is proportional to the Lagrangian integral timescale [script T]<sub>[script L]</sub>. This timescale is in turn assumed to be proportional to the length scale of the energy-containing eddies [script L]e~K3/2/epsilon divided by the turbulent velocity u[prime], where K=3/2u[prime]2 is turbulent energy and epsilon is the energy dissipation rate.


Item Type:Article
Additional Information:©1995 American Institute of Physics. Received 28 December 1994; accepted 12 June 1995. We thank Dr. Robert Rogallo for his generosity for providing the basic program for the simulations. This research was performed in part using the Intel Touchstone Delta System operated by Caltech on behalf of the Concurrent Supercomputing Consortium, and supported by the U.S. Air Force Office of Scientific Research under Grant No. AFOSR-91-0241.
Subject Keywords:COMPUTERIZED SIMULATION, ENERGY LOSSES, TRAJECTORIES, TURBULENT FLOW, VISCOUS FLOW, AUTOCORRELATIONS, EDDY DIFFUSION
Record Number:CaltechAUTHORS:HUApof95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HUApof95
Alternative URL:http://dx.doi.org/10.1063/1.868780
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10913
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Jun 2008
Last Modified:26 Dec 2012 10:06

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