Cited by 391Wind and Air Flow StudiesNumerical methods in inverse problemsMeteorological Phenomena and Simulations

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The Mathematics of Atmospheric Dispersion Modeling

Stockie, John M.·2011·SIAM Review

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Abstract

The Gaussian plume model is a standard approach for studying the transport of airborne contaminants due to turbulent diffusion and advection by the wind. This paper reviews the assumptions underlying the model, its derivation from the advection-diffusion equation, and the key properties of the plume solution. The results are then applied to solving an inverse problem in which emission source rates are determined from a given set of ground-level contaminant measurements. This source identification problem can be formulated as an overdetermined linear system of equations that is most easily solved using the method of least squares. Various generalizations of this problem are discussed, and we illustrate our results with an application to the study of zinc emissions from a smelting operation.

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D. M. Cannell, George Green: Mathematician & Physicist, 1793–1841: The Background to His Life and Work , 2nd ed., SIAM, Philadelphia, 2001. · DOI
R. M. M. Mattheij, S. W. Rienstra, and J. H. M. ten Thije Boonkkamp, Partial Differential Equations: Modeling, Analysis, Computation , SIAM Monogr. Math. Model. Comput. 10, SIAM, Philadelphia, 2005. · DOI

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Authors: Stockie, J. M.
Affiliations: Simon Fraser University (CA)
Corresponding author: Stockie, John M.
ORCID: Stockie, John M.
Venue: SIAM Review
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Published: 2011-01
Volume: 53
Issue: 2
Pages: 349-372
ISSN: 0036-1445 (ISSN-L)
1095-7200
DOI: 10.1137/10080991x
OpenAlex: W1992960971
Cited by: 386
References: 41
Citations by year: 2026: 36 · 2025: 53 · 2024: 34 · 2023: 34 · 2022: 39 · 2021: 32 · 2020: 26 · 2019: 21 · 2018: 20 · 2017: 18 · 2016: 22 · 2015: 20 · 2014: 13 · 2013: 8 · 2012: 7
FWCI: 8.50
Type: journal article
Language: en
Open access: closed
Locations: SIAM Review (publishedVersion)
Topics: Physical Sciences › Environmental Science › Environmental Engineering › Wind and Air Flow Studies
Physical Sciences › Mathematics › Mathematical Physics › Numerical methods in inverse problems
Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Meteorological Phenomena and Simulations
Keywords: Gaussian plume model, atmospheric dispersion, advection-diffusion equation, turbulent diffusion, inverse problems, emission source identification, least squares

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The Mathematics of Atmospheric Dispersion Modeling

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