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Title:
Energy transfer in a particle α model
Authors:
Monaghan, J. J.
Affiliation:
School of Mathematical Sciences, Monash University, Clayton 3800, Australia
Publication:
Journal of Turbulence, Volume 5, Issue 1, pp. 012 (2004).
Publication Date:
03/2004
Origin:
IOP
DOI:
10.1088/1468-5248/5/1/012
Bibliographic Code:
2004JTurb...5...12M

Abstract

In this paper we describe numerical experiments with a particle system derived from a compressible version of the Lagrangian-averaged Euler equations (LAE-agr). The motion is specified by a Lagrangian with a kinetic term which involves both velocity and spatial terms due to the smoothing incorporated in the particle LAE-agr model. The experiments have been designed to study the way in which energy is transferred between modes and, in particular, how the terms derived from smoothing cause a non-linear redistribution of energy. We find that these terms inhibit the transfer of energy to the short-wavelength modes as expected for turbulence models in two and three dimensions. The behaviour of the particles is similar to that for the Fermi–Pasta–Ulam system despite the fact that the particles have non-nearest-neighbour interactions, and these interactions involve both the velocity and the spatial co-ordinates.
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