Abstract
Using large-eddy simulation (LES), we calculate the concentration fluctuations of passive plumes from an elevated (ES) and a ground-level source (GLS) in a turbulent boundary layer over a rough wall. The mean concentration, relative fluctuations and spectra are found in good agreement with the wind-tunnel measurements. The Generalised Pareto Distribution (GPD) is applied to model the upper tail of the probability density function of concentration time series, collected at many typical locations for GLS and ES from both LES and experiments. The relative maxima and return levels against downstream distance, which are estimated from numerical data, are in good agreement with those from experimental data.
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References
Davison A C and Smith R L 1990. Models for exceedances over high thresholds (with discussion) J. R. Statist. Soc. B 52 393–442
Fackrell J E and Robins A G 1982. Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer J. Fluid Mech. 117 1–26
Fisher R A and Tippett L H C 1928. Limiting forms of the frequency distribution of the largest or smallest member of a sample Proc. Cambridge Phil. Soc. 24 180–190
Jenkinson A F, 1955. The frequency distribution of the annual maximum (or minimun) values of meteorological elements Q. J. Roy. Meteorol. 87 158–171
Mises R von 1954. La distribution de la plus grande de n valeurs In selected papers II pp271–294 Providence RI: mer. Math. Soc.
Munro R J, Chatwin P C and Mole N 2001. The high concentration tails of the probability density function of a dispersing scalar in the atmosphere Bound.-Layer Meteorol. 98 315–339
Picands J 1975. Statistical inference using extreme order statistics Ann. Statist. 3 119–131
Sagaut P 1995. ‘Simulations numériques d’écoulements décollés avec des modèles de sous-maille’ PhD Thesis, University of Paris VI, France
Smith R L 1989. Extreme value analysis of environmental time series: an application to trend detection in ground-level ozone Statist. Sci. 4 367–393
Sykes R L and Henn D S 1992. LES of concentration fluctuations in a dispersing plume Atmos. Env. 26A 3127–3144
Xie Z, Voke P R, Hayden P and Alan G R (to be published) Large-eddy simulation of turbulent flow over a rough surface, Bound.-Layer Meteorol.
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© 2004 Springer Science+Business Media Dordrecht
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Xie, Z., Voke, P.R., Hayden, P., Robins, A.G. (2004). LES and Extreme Value Theory. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_35
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DOI: https://doi.org/10.1007/978-1-4020-2313-2_35
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6575-9
Online ISBN: 978-1-4020-2313-2
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