Efficient numerical methods in air pollution transport modelling: Operator splitting and richardon extrapolation

Ágnes Havasi, I. Faragó, Zahari Zlatev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The mathematical modelling of air pollution processes is usually based on a system of nonlinear partial differential equations called transport-chemistry system. The numerical integration of this system is a rather difficult computational task, especially in large-scale and global models, where the number of grid-points can range from a few thousand to a few hundred thousand, and the number of chemical species is typically between 20 and 200. We present two robust techniques that can significantly enhance the efficiency of the numerical solution and the computer realization. During operator splitting the different sub-processes of the described phenomenon are treated separately, by coupling the corresponding mathematical problems through their initial conditions. Richardson extrapolation is based on a combination of two numerical solutions obtained by different discretization parameters. We present the basics of these methods and illustrate their benefits in different environmental models.

Original languageEnglish
Title of host publicationHARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings
PublisherHungarian Meteorological Service
Pages658-662
Number of pages5
Volume2016-May
ISBN (Electronic)9789639931107
Publication statusPublished - Jan 1 2016
Event17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, HARMO 2016 - Budapest, Hungary
Duration: May 9 2016May 12 2016

Other

Other17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, HARMO 2016
CountryHungary
CityBudapest
Period5/9/165/12/16

Fingerprint

Operator Splitting
Air Pollution
Air pollution
Extrapolation
numerical method
Mathematical operators
Numerical methods
atmospheric pollution
Numerical Methods
Modeling
Numerical Solution
Partial differential equations
modeling
Richardson Extrapolation
Nonlinear Partial Differential Equations
Mathematical Modeling
Numerical integration
Chemistry
Initial conditions
Discretization

Keywords

  • Active Richardson extrapolation
  • Danish Eulerian Model
  • Passive
  • Splitting methods
  • Transport-chemistry system

ASJC Scopus subject areas

  • Atmospheric Science
  • Pollution
  • Modelling and Simulation

Cite this

Havasi, Á., Faragó, I., & Zlatev, Z. (2016). Efficient numerical methods in air pollution transport modelling: Operator splitting and richardon extrapolation. In HARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings (Vol. 2016-May, pp. 658-662). Hungarian Meteorological Service.

Efficient numerical methods in air pollution transport modelling : Operator splitting and richardon extrapolation. / Havasi, Ágnes; Faragó, I.; Zlatev, Zahari.

HARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings. Vol. 2016-May Hungarian Meteorological Service, 2016. p. 658-662.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Havasi, Á, Faragó, I & Zlatev, Z 2016, Efficient numerical methods in air pollution transport modelling: Operator splitting and richardon extrapolation. in HARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings. vol. 2016-May, Hungarian Meteorological Service, pp. 658-662, 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, HARMO 2016, Budapest, Hungary, 5/9/16.
Havasi Á, Faragó I, Zlatev Z. Efficient numerical methods in air pollution transport modelling: Operator splitting and richardon extrapolation. In HARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings. Vol. 2016-May. Hungarian Meteorological Service. 2016. p. 658-662
Havasi, Ágnes ; Faragó, I. ; Zlatev, Zahari. / Efficient numerical methods in air pollution transport modelling : Operator splitting and richardon extrapolation. HARMO 2016 - 17th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Proceedings. Vol. 2016-May Hungarian Meteorological Service, 2016. pp. 658-662
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