 A Hybrid Numerical Scheme for Aerosol DynamicsH. Babovsky ()
A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 425-432 from Springer Abstract: 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. Date: 2008 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_50 Ordering information: This item can be ordered from DOI: 10.1007/978-3-540-69777-0_50 Access Statistics for this chapter More chapters in Springer Books from Springer |
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