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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	649-669
Number of pages	21
Journal	Journal of Computational Physics
Volume	184
Issue number	2
DOIs	https://doi.org/10.1016/S0021-9991(02)00041-4
Publication status	Published - 20 Jan 2003

Keywords

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

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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",

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T1 - A stochastic approach for the numerical simulation of the general dynamics equation for aerosols

AU - Debry, Edouard

AU - Sportisse, Bruno

AU - Jourdain, Benjamin

PY - 2003/1/20

Y1 - 2003/1/20

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

UR - https://www.scopus.com/pages/publications/0037455651

U2 - 10.1016/S0021-9991(02)00041-4

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

M3 - Article

AN - SCOPUS:0037455651

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

Abstract

Keywords

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