The moments method for multi-modal multi-component aerosols as applied to the coagulation-type equation
✍ Scribed by A. S. Koziol; H. G. Leighton
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 319 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0035-9009
- DOI
- 10.1002/qj.51
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✦ Synopsis
Abstract
The idea of self‐preserving functions as solutions to a coagulation‐type equation for aerosol is investigated. The aerosol spectrum is assumed to be well represented by a finite but not limited sum of self‐preserving functions (modes). An original set of aerosol dynamics equations for an unlimited number of modes is formulated for self‐preserving functions in the form of the log‐normal distribution, gamma distribution and Laguerre expansion. Additional equations governing the composition of the aerosol are derived. The system of the obtained ordinary integro–differential equations is solved using the Runge–Kutta method with Gaussian quadratures to estimate integrals. The solutions are then successfully tested against direct high resolution numerical solutions of the coagulation‐type equation. Some physical examples illustrating the use of the developed numerical method are also presented. Copyright © 2007 Royal Meteorological Society