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- W2075205283 abstract "The use of the Langevin equation to model turbulent dispersion, particularly in the atmosphere, is examined. The essential feature of the Langevin equation is that fluid particle accelerations are uncorrelated, a good approximation in high Reynolds number three-dimensional turbulence. It thus satisfies all the wellknown inertial range scaling laws. An important consequence of these laws is the equivalence of conditioned one-particle dispersion and relative dispersion. Relative dispersion on global scales is not well represented by the Langevin model, at least in part because motion on these scales is quasi-two-dimensional. On smaller scales, the well-known lack of an upper limit to the scale of turbulent kinetic energy throws doubt on the applicability of the Langevin equation in toto, although a three-dimensional inertial range stage of dispersion may be reasonably well represented. Use of the Langevin equation to directly model relative velocities results in a Gaussian probability density for particle separation. This is unrealistic and leads to an incorrect representation of concentration fluctuations. However, a relative dispersion model based on an appropriate combination of a pair of Langevin equations does realistically model concentration fluctuations." @default.
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- W2075205283 date "1984-01-01" @default.
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- W2075205283 title "The basis for, and some limitations of, the Langevin equation in atmospheric relative dispersion modelling" @default.
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