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A Hybrid Numerical Scheme for Aerosol Dynamics

In: Numerical Mathematics and Advanced Applications

Author

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  • H. Babovsky

    (Technical University Ilmenau)

Abstract

Aerosol coagulation, i.e. the merging of aerosol particles to larger clusters, is commonly described by the Smoluchowski equation. Of special interest is the phenomenon of “gelation”, i.e. the formation of “macroparticles”. A useful tool for the numerical simulation is the application of Monte Carlo schemes. However, stochastic effects may change qualitative properties, e.g. they may cause the transition from stable states to metastable ones, for example in combination with spatial diffusion. In [5], a deterministic scheme for the space homogeneous system was formulated and analyzed. It was shown, that the scheme converges monotonically with decreasing discretization parameter. This gives rise to an efficient error control. Moreover, the scheme is capable of monitoring the gelation process with high precision. It turns out that the most efficient system is a hybrid code with a stochastic component for the simulation of higher regions of the state space. The paper introduces the numerical scheme, discusses its properties in comparison to stochastic schemes and presents numerical examples of the gelation process in diffusive environments.

Suggested Citation

  • H. Babovsky, 2008. "A Hybrid Numerical Scheme for Aerosol Dynamics," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 425-432, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_50
    DOI: 10.1007/978-3-540-69777-0_50
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