Individual Particle Based Description of Atmospheric Dispersion: a Dynamical Systems Approach

Tímea Haszpra, T. Tél

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

We argue that a proper treatment of material dispersion should be based on individual particle tracking using realistic size and density. The effect of turbulent diffusion and the scavenging of particles by precipitation are shown to be treatable as stochastic perturbations of the deterministic Newtonian equation of motion. This approach enables one to investigate the chaotic aspects of particle dispersion by means of dynamical systems concepts. Topological entropy is shown to be in this context the growth rate of material lines, which can be considered to provide a novel characterization of the state of the atmosphere. The deposition process is found to be well characterizable by the escape rate (being a measure of the strength of the exponential decay of the number of particles not yet reached the surface), which might depend on local turbulence and rain intensity. The variability of the dispersion process due to the difference between different meteorological forecasts within an ensemble forecast are also illustrated. Examples are taken from volcanic eruptions and the Fukushima accident.

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages95-119
Number of pages25
DOIs
Publication statusPublished - Jan 1 2016

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume564
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

Keywords

  • Atmospheric Dispersion
  • Ensemble Forecast
  • Escape Rate
  • Material Line
  • Topological Entropy

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computer Science Applications
  • Modelling and Simulation

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  • Cite this

    Haszpra, T., & Tél, T. (2016). Individual Particle Based Description of Atmospheric Dispersion: a Dynamical Systems Approach. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 95-119). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 564). Springer International Publishing. https://doi.org/10.1007/978-3-7091-1893-1_4