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The non-Gaussian statistics of the velocity field in low-resolution large-eddy simulations of homogeneous turbulence

Published online by Cambridge University Press:  26 April 2006

Marco Briscolini  and
Paolo Santangelo
Marco Briscolini
Affiliation:
IBM ECSEC, European Center for Scientific and Engineering Computing, Viale Oceano Pacifico, 171, 00144 Roma, Italy
Paolo Santangelo
Affiliation:
IBM ECSEC, European Center for Scientific and Engineering Computing, Viale Oceano Pacifico, 171, 00144 Roma, Italy
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Abstract

A low-resolution (643) large-eddy model of forced homogeneous turbulence is numerically simulated using Kraichnan's eddy viscosity. The introduction of a reliable statistical estimate of the ζp exponents allows one to perform a detailed statistical analysis of the velocity field and shows that the probability distribution functions, the structure functions and the power-law exponents ζp agree with previous numerical and experimental results obtained at much higher effective resolution. This result shows how a simple modelling of the energy transfer produces self-similar dynamics extending to the small scales and obtains the right statistical properties of the velocity field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 270 , 10 July 1994 , pp. 199 - 218
Copyright
© 1994 Cambridge University Press

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