Boundary-layer diffusion modelling: The Gaussian plume approach versus the spectral solution

Nitsche, H.; Wergen, Werner; Fraedrich, Klaus

doi:10.1007/bf00121968

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…For example, the line source solution can be integrated to obtain sources of strip, area, and volume type [6,37]. Others have considered horizontal diffusion coefficients that depend on other variables such as wind speed [29]. Lin and Hildemann [20] provide an extensive summary of various plume-type solutions that are available in the literature.…”

Section: Other Generalizationsmentioning

confidence: 99%

The Mathematics of Atmospheric Dispersion Modeling

Stockie¹

2011

SIAM Rev.

283

161

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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 groundlevel 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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Section: Other Generalizationsmentioning

confidence: 99%

The Mathematics of Atmospheric Dispersion Modeling

Stockie¹

2011

SIAM Rev.

283

161

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“…Each real and virtual source is assumed to give a Gaussian vertical distribution. Nitsche et al (Ni77) and Prahm et al (Pr78) have developed models based on the gradienttransfer theory for the calculation of the vertical distribution of matter released from an elevated point source.…”

Section: Calculation Of Atmospheric Diffusionmentioning

confidence: 99%

Effect of Application of Surface Depletion Model on Estimated Reactor Accident Consequences

Nordlund¹,

Savolainen²,

Vuori³

1979

Health Physics

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First, a dispersion model is described in which the vertical mixing is treated with the gradient-transfer (Kz-) theory and in which the dry deposition is accounted as a surface depletion. In this model the ground scavenges the lowest part of the release plume and the vertical mixing gradually brings new material from the higher parts of the plume. A fast and accurate method employing Green's function technique has been implemented for the calculation of the direct external gamma dose from release plume which has an arbitrary vertical concentration distribution. Second, reactor accident consequences are evaluated with the K,-model described and a standard Gaussian plume model with source depletion where the dry deposition is assumed to remove material from the release plume at the same relative rate at all the heights of the plume. Near the release source the ground level concentrations and the dose components directly proportional to the concentration are considerably smaller when evaluated with the surface depletion model (K,-model) than when evaluated with the source depletion model (Gaussian). Far from the source, the plume concentration and doses calculated with surface depletion model are greater because the fraction of the release material remaining in the plume is larger. The lower doses obtained with the surface depletion model near the release source cause an even greater decrease in the estimated number of persons exceeding high doses, that bring about acute health effects.

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