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On The Dynamical Content Of Lagrangian Stochastic Models In The Well-Mixed Class

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Abstract

It is shown how the correspondence between Lagrangian stochasticmodels and second-moment closures of the scalar-flux equation can be exploited to distinguishbetween Lagrangian stochastic models in the well-mixed class. It is found that physically realisticclosures of the scalar-flux equation correspond to Lagrangian stochastic models that have non-zero`spin' and so produce spiralling tracer-particle trajectories, whilst `zero-spin'models correspond to the isotropic-production model of scalar-fluxes.Lagrangian stochastic models consistent with rapid distortion theory and Speziale's transformation rule for the Reynolds stressequations in the extreme limit of two-dimensional turbulence are also shown to have non-zero spin.The residual non-uniqueness associated with satisfaction of thewell-mixed condition and the specification of mean spin is shown to be related to the helicity oftracer-particle trajectories. Investigations are also made of the influence upon turbulent dispersion oftime-dependent spin and of mean rotations of the fluctuating Lagrangian acceleration vector(i.e., second-order spin).

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  1. Silsoe Research Institute, Wrest Park, Silsoe, Bedford, MK45 4HS, U.K.

    A.M. Reynolds

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Reynolds, A. On The Dynamical Content Of Lagrangian Stochastic Models In The Well-Mixed Class. Boundary-Layer Meteorology 103, 143–162 (2002). https://doi.org/10.1023/A:1014599409514

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