A stochastic approach for the numerical simulation of the general dynamics equation for aerosols

We present in this article a stochastic algorithm based mainly on [Monte Carlo Methods and Applications 5(1) (1999) 1; Stochastic particle approximations for Smoluchowski's coagulation equation. Technical Report, Weierstrass-Institut for Applied Analysis and Stochastics, 2000. Preprint No. 585] applied to the integration of the General Dynamics Equation (GDE) for aerosols. This algorithm is validated by comparison with analytical solutions of the coagulation-condensation model and may provide an accurate reference solution in cases for which no analytical solution is available.

[1]  Babovsky Hans On a Monte Carlo scheme for Smoluchowski’s coagulation equation , 1999 .

[2]  R. Turco,et al.  Modeling coagulation among particles of different composition and size , 1994 .

[3]  Adrian Sandu,et al.  A framework for the numerical treatment of aerosol dynamics , 2003 .

[4]  Christian Seigneur,et al.  Mathematical modeling of the dynamics of multicomponent atmospheric aerosols , 1987 .

[5]  F. Binkowski,et al.  The Regional Particulate Matter Model 1. Model description and preliminary results , 1995 .

[6]  Christodoulos Pilinis Derivation and numerical solution of the species mass distribution equations for multicomponent particulate systems , 1990 .

[7]  A. Jaecker-Voirol,et al.  Mobile source emission inventory model. Application to Paris area , 1996 .

[8]  Mark Z. Jacobson,et al.  Fundamentals of atmospheric modeling , 1998 .

[9]  Kenichi Nanbu Stochastic Solution Method of the Master Equation and the Model Boltzmann Equation , 1983 .

[10]  Condensation Rate of Trace Vapor on Knudsen Aerosols from the Solution of the Boltzmann Equation , 1979 .

[11]  A. Jaecker-Voirol,et al.  Heteromolecular nucleation in the sulfuric acid-water system , 1989 .

[12]  M. Memmesheimer,et al.  The parametrization of the sulfate-nitrate-ammonia aerosol system in the long-range transport model EURAD , 1995 .

[13]  Zev Levin,et al.  A Numerical Solution of the Kinetic Collection Equation Using High Spectral Grid Resolution , 1999 .

[14]  Anthony S. Wexler,et al.  Numerical schemes to model condensation and evaporation of aerosols , 1996 .

[15]  S. Loyalka Mechanics of aerosols in nuclear reactor safety: A review , 1983 .

[16]  A. Nenes,et al.  ISORROPIA: A New Thermodynamic Equilibrium Model for Multiphase Multicomponent Inorganic Aerosols , 1998 .

[17]  Warren F. Phillips,et al.  Drag on a small sphere moving through a gas , 1975 .

[18]  J. Seinfeld,et al.  Numerical solution of the dynamic equation for particulate systems , 1978 .

[19]  John H. Seinfeld,et al.  Dynamics of aerosol coagulation and condensation , 1976 .

[20]  Robert A. Millikan The General Law of Fall of a Small Spherical Body through a Gas, and its Bearing upon the Nature of Molecular Reflection from Surfaces , 1980 .

[21]  N. Fuchs,et al.  HIGH-DISPERSED AEROSOLS , 1971 .

[22]  H. Neunzert,et al.  On a simulation scheme for the Boltzmann equation , 1986 .

[23]  J. Seinfeld,et al.  Size‐resolved and chemically resolved model of atmospheric aerosol dynamics , 1998 .

[24]  Peter H. McMurry,et al.  Modal Aerosol Dynamics Modeling , 1997 .

[25]  P. Nieto,et al.  A modified semi-implicit method to obtain the evolution of an aerosol by coagulation , 2000 .