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A quasi-stochastic simulation of the general dynamics equation for aerosols

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  • Lécot C.

    (Laboratoire de Mathématiques, UMR 5127 CNRS & Université de Savoie, Campus scientifique, 73376 Le Bourget-du-Lac Cedex, France. Email: Christian.Lecot@univ-savoie.fr)

  • Tarhini A.

    (Laboratoire de Mathématiques, UMR 5127 CNRS & Université de Savoie, Campus scientifique, 73376 Le Bourget-du-Lac Cedex, France. Email: Ali.Tarhini@univ-savoie.fr)

Abstract

We propose a quasi-Monte Carlo (QMC) scheme for the simulation of the general dynamics equation (GDE) for aerosols. The mass distribution is approximated by a fixed number of weighted numerical particles. Time is discretized and a splitting approach is used. Coagulation is simulated with a stochastic particle method using quasi-random points. In addition, the particles are reordered by increasing size at every time step. Integration of condensation/evaporation and deposition is performed using a deterministic particle method. The accuracy of the scheme is assessed through several numerical experiments, in cases where an exact solution is known. The error of the QMC scheme is shown to be smaller than the error produced by the corresponding Monte Carlo (MC) scheme.

Suggested Citation

  • Lécot C. & Tarhini A., 2008. "A quasi-stochastic simulation of the general dynamics equation for aerosols," Monte Carlo Methods and Applications, De Gruyter, vol. 13(5-6), pages 369-388, January.
    • Handle: RePEc:bpj:mcmeap:v:13:y:2008:i:5-6:p:369-388:n:3
    DOI: 10.1515/mcma.2007.020
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    References listed on IDEAS

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    1. Sabelfeld K.K. & Rogasinsky S.V. & Kolodko A.A. & Levykin A.I., 1996. "Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation," Monte Carlo Methods and Applications, De Gruyter, vol. 2(1), pages 41-88, December.
    2. Kolodko A. & Sabelfeld K., 2003. "Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations," Monte Carlo Methods and Applications, De Gruyter, vol. 9(4), pages 315-339, December.
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