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

  • Anne Katrine Vinther Jensen
  • Sven-Erik Gryning
Part of the NATO • Challenges of Modern Society book series (NATS, volume 22)


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.


Probability Density Function Probability Density Function Hermite Polynomial Atmospheric Dispersion Stochastic Lagrangian Model 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Anne Katrine Vinther Jensen
    • 1
  • Sven-Erik Gryning
    • 1
  1. 1.Riso National LaboratoryRoskildeDenmark

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