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A New Formulation of the Probability Density Function in Random Walk Models for Atmospheric Dispersion

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Air Pollution Modeling and Its Application XII

Part of the book series: NATO • Challenges of Modern Society ((NATS,volume 22))

Abstract

Simulation of at mospheric diffusion in vertically inhomogeneous skewed turbulence, which is typical for the daytime boundary layer, is investigated. Particle trajectories are simulated by using the Langevm equation. The main objective is to introduce a formulation of the probability density function (PDF) of the vertical velocity fluctuation based on a fourth order expansion after Hermite polynomials (Gram-Charlier expansion). The statistics of the turbulence are introduced by forcing the moments of the Gram-Charlier expansion to equal the parametrized moments of atmospheric turbulence.

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© 1998 Springer Science+Business Media New York

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Jensen, A.K.V., Gryning, SE. (1998). A New Formulation of the Probability Density Function in Random Walk Models for Atmospheric Dispersion. In: Gryning, SE., Chaumerliac, N. (eds) Air Pollution Modeling and Its Application XII. NATO • Challenges of Modern Society, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9128-0_44

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  • DOI: https://doi.org/10.1007/978-1-4757-9128-0_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9130-3

  • Online ISBN: 978-1-4757-9128-0

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