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The Relative Dispersion of Particle Pairs in Stationary Homogeneous Turbulence

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  • 1 Silsoe Research Institute, Wrest Park, Silsoe, Bedford, United Kingdom
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Abstract

The relative dispersion of particle pairs in stationary homogeneous turbulence is investigated in numerical simulations using one-dimensional and quasi-one-dimensional Lagrangian stochastic models, satisfying the well-mixed condition for Gaussian and non-Gaussian two-point velocity distribution functions. Predictions for the statistics of particle-pair separations are shown to be sensitively dependent upon third and higher moments of the two-point velocity distribution function. The results of numerical simulations suggest that Lagrangian stochastic models based upon Gaussian two-point velocity distribution functions tend to underpredict the intensity of concentration fluctuations at small times.

Corresponding author address: Dr. A. M. Reynolds, Silsoe Research Institute, Wrest Park, Silsoe, Bedford MK45 4HS, United Kingdom.

andy.reynolds@bbsrc.ac.uk

Abstract

The relative dispersion of particle pairs in stationary homogeneous turbulence is investigated in numerical simulations using one-dimensional and quasi-one-dimensional Lagrangian stochastic models, satisfying the well-mixed condition for Gaussian and non-Gaussian two-point velocity distribution functions. Predictions for the statistics of particle-pair separations are shown to be sensitively dependent upon third and higher moments of the two-point velocity distribution function. The results of numerical simulations suggest that Lagrangian stochastic models based upon Gaussian two-point velocity distribution functions tend to underpredict the intensity of concentration fluctuations at small times.

Corresponding author address: Dr. A. M. Reynolds, Silsoe Research Institute, Wrest Park, Silsoe, Bedford MK45 4HS, United Kingdom.

andy.reynolds@bbsrc.ac.uk

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