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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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1569-3961
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Volume 9, Issue 2 (Apr 2003)

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Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height

O. Kurbanmuradov
  • Center for Phys. Math. Research, Turkmenian State University, Turkmenbashy av. 31, 744000 Ashgabad, Turkmenistan.
  • Other articles by this author:
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/ A. Levykin
  • Institute of Comput. Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentieva str., 6 630090 Novosibirsk, Russia.
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/ U. Rannik / K. Sabelfeld
  • Institute of Comput. Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentieva str., 6 630090 Novosibirsk, Russia.
  • Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D – 10117 Berlin, Germany. E-mail:
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/ T. Vesala

Forward and backward stochastic Lagrangian trajectory simulation methods are developed to calculate the footprint and cumulative footprint functions of concentration and fluxes in the case when the ground surface has an abrupt change of the roughness height. The statistical characteristics to the stochastic model are extracted numerically from a closure model we developed for the atmospheric boundary layer. The flux footprint function is perturbed in comparison with the footprint function for surface without change in properties. The perturbation depends on the observation level as well as roughness change and distance from the observation point. It is concluded that the footprint function for horizontally homogeneous surface, widely used in estimation of sufficient fetch for measurements, can be seriously biased in many cases of practical importance.

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Published in Print: 2003-04-01


Citation Information: Monte Carlo Methods and Applications mcma, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/156939603322663330.

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[1]
Andrey Sogachev, Üllar Rannik, and Timo Vesala
Agricultural and Forest Meteorology, 2004, Volume 127, Number 3-4, Page 143
[2]
Timo Vesala, Üllar Rannik, Monique Leclerc, Thomas Foken, and Karl Sabelfeld
Agricultural and Forest Meteorology, 2004, Volume 127, Number 3-4, Page 111
[3]
T. Vesala, N. Kljun, Ü. Rannik, J. Rinne, A. Sogachev, T. Markkanen, K. Sabelfeld, Th. Foken, and M.Y. Leclerc
Environmental Pollution, 2008, Volume 152, Number 3, Page 653

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