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

Edouard Debry; Bruno Sportisse; Benjamin Jourdain

doi:10.1016/S0021-9991(02)00041-4

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

Edouard Debry
, Bruno Sportisse
, Benjamin Jourdain

Université Paris Est, ENPC LIGM, IMAGINE

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	649-669
Nombre de pages	21
journal	Journal of Computational Physics
Volume	184
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/S0021-9991(02)00041-4
état	Publié - 20 janv. 2003

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10.1016/S0021-9991(02)00041-4

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title = "A stochastic approach for the numerical simulation of the general dynamics equation for aerosols",

abstract = "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.",

keywords = "Aerosol size density, Air pollution modeling, Atmospheric aerosols, Coagulation, Condensation, Evaporation, General dynamics equation, Nucleation, Size-resolved methods, Stochastic resolution",

author = "Edouard Debry and Bruno Sportisse and Benjamin Jourdain",

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AU - Sportisse, Bruno

AU - Jourdain, Benjamin

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N2 - 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.

AB - 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.

KW - Aerosol size density

KW - Air pollution modeling

KW - Atmospheric aerosols

KW - Coagulation

KW - Condensation

KW - Evaporation

KW - General dynamics equation

KW - Nucleation

KW - Size-resolved methods

KW - Stochastic resolution

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DO - 10.1016/S0021-9991(02)00041-4

M3 - Article

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SN - 0021-9991

VL - 184

SP - 649

EP - 669

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

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

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