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Presence of a Richardson's regime in kinematic simulations

Nicolleau, F.C.G.A. and Nowakowski, A.F. (2011) Presence of a Richardson's regime in kinematic simulations. Physical Review E, 83 (5). Art no. e19858. ISSN 1539-3755


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In this paper we investigate kinematic simulation (KS) consistency with the theory of Richardson [Proc. Roy. Soc. A 110, 24 (1926)] for two-particle diffusivity. In particular we revisit the sweeping problem. It has been argued by Thomson and Devenish [J. Fluid Mech. 526, 277 (2005).] that due to the lack of sweeping of small scales by large scales in kinematic simulation, the validity of Richardson's power law might be affected. Here, we argue that the discrepancies between authors on the ability of kinematic simulation to predict Richardson power law may be linked to the inertial subrange they have used. For small inertial subranges, KS is efficient and the significance of the sweeping can be ignored, as a result we limit the KS agreement with the Richardson scaling law t(3) for inertial subranges k(N)/k(1) <= 10000. For larger inertial range KS does not fully follow the t(3) law. Unfortunately, there is no experimental data to compare KS with and draw conclusions for such large inertial subranges. It cannot be concluded either that the discrepancy between KS and Richardson's theory for larger inertial subranges is exactly taken into account by the theory developed in Thomson and Devenish [J. Fluid Mech. 526, 277 (2005).].

Item Type: Article
Copyright, Publisher and Additional Information: © 2011 American Physical Society. This is an author produced version of a paper subsequently published in Physical Review E. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Direct Numerical-Simulation; Isotropic Turbulence; Relative Diffusion; 2-Dimensional Turbulence; Pair Dispersion; Particles; Velocity; Models; Flows
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 21 Jun 2011 08:15
Last Modified: 08 Feb 2013 17:32
Published Version: http://dx.doi.org/10.1103/PhysRevE.83.056317
Status: Published
Publisher: American Physical Society
Refereed: Yes
Identification Number: 10.1103/PhysRevE.83.056317
URI: http://eprints.whiterose.ac.uk/id/eprint/43071

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