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

Edouard Debry (1) , Bruno Sportisse (2, 3) , Benjamin Jourdain (4)

1 CEREVE - Centre d'Enseignement et de Recherche Eau Ville Environnement
2 CEREA - Centre d'Enseignement et de Recherche en Environnement Atmosphérique
3 AIR - Image Processing and Dynamic and Satellite Data
4 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

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.

Domaines: Traitement des images [eess.IV]

Edouard Debry, Bruno Sportisse, Benjamin Jourdain. A stochastic approach for the numerical simulation of the general dynamics equation for aerosols. Journal of Computational Physics, 2003, 184 (2), pp.649-689. ⟨10.1016/S0021-9991(02)00041-4⟩. ⟨inria-00527178⟩