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A Comparison of Different Advective Solvers in the CHIMERE Air Quality Model

  • Pedro Molina
  • Luis Gavete
  • Marta García Vivanco
  • Inmaculada Palomino
  • M. Lucía Gavete
  • Francisco Ureña
  • Juan José Benito
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6785)

Abstract

Extensive research has been performed to solve the advection equation and different numerical methods have been proposed. Most of these methods, including semi-lagrangian methods, are not conservative. In this paper we compare in the CHIMERE eulerian chemistry transport model different conservative algorithms for solving the advection equation. The numerical results are compared with a set of observation sites in the area of Spain and some conclusions are obtained.

Keywords

advection equation conservative scheme Chimère 

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References

  1. 1.
    Godunov, S.K.: A difference scheme for numerical computation of discontinuous solutions of hydrodynamics equations. Math. Sbornik 47, 271–306 (1959)zbMATHGoogle Scholar
  2. 2.
    van Leer, B.: Toward the ultimate conservative difference scheme. Part IV: A new approach to numerical convection. J. Comput. Phys. 23, 276–299 (1997)CrossRefzbMATHGoogle Scholar
  3. 3.
    van Leer, B.: Toward the ultimate conservative difference scheme. Part V: A second order sequel to Godunov’s method. J. Comput. Phys. 23, 276–299 (1997)CrossRefGoogle Scholar
  4. 4.
    Collela, P., Woodward, P.R.: The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 54, 174–201 (1984)CrossRefzbMATHGoogle Scholar
  5. 5.
    Gavete, L., García Vivanco, M., Molina, P., Gavete, M.L., Ureña, F., Benito, J.J.: Implementation in Chimère of a conservative solver for the advection equation. In: Proceedings of the 10th International Conference on Mathematical Methods in Science and Engineering, vol. IV, pp. 1094–1105. CMMSE, Almería (2010), ISBN 13: 978-84-613-5510-5Google Scholar
  6. 6.
    Le Veque, R.J.: Numerical Methods for Conservation Laws. Birkuser Verlag (1990)Google Scholar
  7. 7.
    Verwer, J.G.: A Gauss-Seidel iteration for stiff ODEs from chemical kinetics. SIAM J. Scientific Computing 15, 1243–1250 (1994)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Schmidt, H., Derognat, C., Vautard, R., Beekmann, M.: A comparision of simulated and observed ozone mixing ratios for the summer of 1998 in Western Europe. Atmospheric Environment 35, 6277–6297 (2001)CrossRefGoogle Scholar
  9. 9.
    Vivanco, M.G., Palomino, I., Vautard, R., Bessagnet, B., Martín, F., Menut, L., Jiménez, S.: Multi-year assessment of photochemical air quality simulation over SPAIN. Environmental Modelling & Software 24, 63–73 (2009)CrossRefGoogle Scholar
  10. 10.
    Hauglustaine, D.A., Hourdin, F., Jourdain, L., Filiberti, M.A., Walters, S., Lamarque, J.F., Holland, E.A.: Interactive chemistry in the Laboratoire de Meteorologie Dynamique general circulation model: Description and background tropospheric chemistry evaluation. J. Geophys. Res. 109 (2004), doi:10.1029/2003JD003957Google Scholar
  11. 11.
    Chin, M., Ginoux, P., Kinne, S., Holben, B.N., Duncan, B.N., Martin, R.V., Logan, J.A., Higurashi, A., Nakajima, T.: Tropospheric aerosol optical thickness fromt he GOCART model and comparisons with satellite and sunphotometer measurements. J. Atmos. Sci. 59, 461–483 (2002)CrossRefGoogle Scholar
  12. 12.
    Vestreng, V., Breivik, K., Adams, M., Wagener, A., Goodwin, J., Rozovskkaya, O., Pacyna, J.M.: Inventory Review 2005, Emission Data reported to LRTAP Convention and NEC Directive, Initial review of HMs and POPs. Technical report MSC-W 1/(2005), ISSN 0804-2446Google Scholar
  13. 13.
    Passant, N.R.: Speciation of UK Emissions of Non-methane Volatile Organic Compounds. AEAT/ENV/R/0545 (1) (2000)Google Scholar
  14. 14.
    Tesche, T.W., Georgopoulos, P., Seinfeld, J.H., Cass, G., Lurmann, F.W., Roth, P.M.: Improvement of Procedures for Evaluating Photochemical Models. Draft Final Report Prepared for California Air Resources Board. Radian, Sacramento (1990)Google Scholar
  15. 15.
    Vivanco, M.G., Correa, M., Azula, O., Palomino, I., Martín, F.: Influence of Model Resolution on Ozone Predictions over Madrid Area (Spain). In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) ICCSA 2008, Part I. LNCS, vol. 5072, pp. 165–178. Springer, Heidelberg (2008)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Pedro Molina
    • 1
  • Luis Gavete
    • 1
  • Marta García Vivanco
    • 2
  • Inmaculada Palomino
    • 2
  • M. Lucía Gavete
    • 3
  • Francisco Ureña
    • 4
  • Juan José Benito
    • 5
  1. 1.Universidad Politécnica de MadridSpain
  2. 2.C.I.E.M.A.T.MadridSpain
  3. 3.Universidad Rey Juan CarlosMadridSpain
  4. 4.Universidad Castilla-la ManchaCiudad RealSpain
  5. 5.U.N.E.D.MadridSpain

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