Parameterization of the Two-Point Velocity Correlation Function in a Two-Particle Lagrangian Stochastic Model and Its Effect on the Prediction of Concentration Variances due to a Line Source

J. E. Cohen Silsoe Research Institute, Silsoe, Bedford, United Kingdom

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A. M. Reynolds Silsoe Research Institute, Silsoe, Bedford, United Kingdom

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Abstract

A Lagrangian stochastic model, in which a new parameterization of the two-point velocity correlation function is included, is investigated. Model simulations of temperature variances caused by a line source in an inhomogeneous wind-tunnel boundary layer are shown to be in good agreement with experimental data. A special limit of the new parameterization that is useful at large distances from the source is discussed in detail. A new technique is introduced that greatly enhances the computational efficiency of an implementation of this limit of the model and that renders long-distance simulations of concentration variances of tracers dispersing from line sources computationally treatable.

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

andy.reynolds@bbsrc.ac.uk

Abstract

A Lagrangian stochastic model, in which a new parameterization of the two-point velocity correlation function is included, is investigated. Model simulations of temperature variances caused by a line source in an inhomogeneous wind-tunnel boundary layer are shown to be in good agreement with experimental data. A special limit of the new parameterization that is useful at large distances from the source is discussed in detail. A new technique is introduced that greatly enhances the computational efficiency of an implementation of this limit of the model and that renders long-distance simulations of concentration variances of tracers dispersing from line sources computationally treatable.

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

andy.reynolds@bbsrc.ac.uk

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