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Implementation of Bilinear Nonconforming Finite Elements in an Eulerian Air Pollution Model: Results Obtained by Using the Rotational Test

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Numerical Methods and Applications (NMA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

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Abstract

The implementation of bilinear nonconforming finite elements in the advection-diffusion part of an Eulerian air pollution model for long-range transport of air pollutants is discussed. The final aim will be to implement such elements in the operational version of a particular air pollution model, the Danish Eulerian Model (DEM). One-dimensional first-order finite element method is currently used during the space discretization of the advection-diffusion part in the operational version of DEM. The application of more accurate methods in the advection part of DEM is desirable. Two different bilinear nonconforming finite elements have been implemented and compared. The rotational test is very popular among researchers in the fields of meteorology and environmental modelling. Numerical results that are obtained in the treatment of the rotational test with the new finite element schemes show that these elements have good qualities and, therefore, it is worthwhile to replace the one-dimensional first-order finite elements with one of the bilinear nonconforming finite elements considered in the paper.

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Authors and Affiliations

  1. Wolfram Research Inc., 100 Trade Center Drive, 61820-7237, Champaign, IL, USA

    Anton Antonov

  2. Central Laboratory for Parallel Processing, Acad. G. Bonchev, Bl. 25-A, 1113, Sofia, Bulgaria

    Krassimir Georgiev & Emilia Komsalova

  3. National Environmental Research Institute, Frederiksborgvej 399, DK-4000, Roskilde, Denmark

    Zahari Zlatev

Authors
  1. Anton Antonov
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  2. Krassimir Georgiev
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  3. Emilia Komsalova
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  4. Zahari Zlatev
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Editor information

Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, bl. 25A, 1113, Sofia, Bulgaria

    Ivan Dimov , Ivan Lirkov  & Svetozar Margenov ,  & 

  2. National Environmental Research Institute, Frederiksborgvej 399, P.O. Box 358, 4000, Roskilde, Denmark

    Zahari Zlatev

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© 2003 Springer-Verlag Berlin Heidelberg

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Antonov, A., Georgiev, K., Komsalova, E., Zlatev, Z. (2003). Implementation of Bilinear Nonconforming Finite Elements in an Eulerian Air Pollution Model: Results Obtained by Using the Rotational Test. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_42

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  • DOI: https://doi.org/10.1007/3-540-36487-0_42

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

  • eBook Packages: Springer Book Archive

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