Parallel Computation of Sensitivity Analysis Data for the Danish Eulerian Model

  • Tzvetan Ostromsky
  • Ivan Dimov
  • Rayna Georgieva
  • Zahari Zlatev
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7116)


Sensitivity Analysis of the Danish Eulerian Model requires an extensive amount of output data from computationally expensive numerical experiments with a specially adapted for the purpose version of the model, called SA-DEM. It has been successfully implemented and run on the most powerful parallel supercomputer in Bulgaria - IBM BlueGene/P. A new enhanced version, capable of using efficiently the full capacity of the mashine, has recently been developed. It will be described in this paper together with some performance analysis and numerical results. The output results are used to construct some mesh-functions of ozone concentrations ratios to be used further in sensitivity analysis of the model by using Monte Carlo algorithms.


Single Instruction Multiple Data Global Sensitivity Analysis Sequential Splitting High Dimensional Model Representation Nonlinear Mathematical Model 
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  1. 1.
    Dimov, I., Faragó, I., Havasi, Á., Zlatev, Z.: Operator splitting and commutativity analysis in the Danish Eulerian Model. Math. Comp. Sim. 67, 217–233 (2004)zbMATHCrossRefGoogle Scholar
  2. 2.
    Dimov, I., Georgieva, R., Ivanovska, S., Ostromsky, T., Zlatev, Z.: Studying the Sensitivity of the Pollutants Concentrations Caused by Variations of Chemical Rates. Journal of Computational and Applied Mathematics 235(2), 391–402 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Dimov, I., Georgiev, K., Ostromsky, T., Zlatev, Z.: Computational challenges in the numerical treatment of large air pollution models. Ecological Modelling 179, 187–203 (2004)CrossRefGoogle Scholar
  4. 4.
    Dimov, I., Ostromsky, T., Zlatev, Z.: Challenges in using splitting techniques for large-scale environmental modeling. In: Faragó, I., Georgiev, K., Havasi, Á. (eds.) Advances in Air Pollution Modeling for Environmental Security. NATO Science Series, vol. 54, pp. 115–132. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  5. 5.
    Marchuk, G.I.: Mathematical modeling for the problem of the environment. Studies in Mathematics and Applications, vol. 16. North-Holland, Amsterdam (1985)Google Scholar
  6. 6.
    Ostromsky, T., Dimov, I., Georgieva, R., Zlatev, Z.: Sensitivity Analysis of a Large-Scale Air Pollution Model: Numerical Aspects and a Highly Parallel Implementation. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2009. LNCS, vol. 5910, pp. 197–205. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  7. 7.
    Ostromsky, T., Zlatev, Z.: Parallel Implementation of a Large-Scale 3-D Air Pollution Model. In: Margenov, S., Waśniewski, J., Yalamov, P. (eds.) LSSC 2001. LNCS, vol. 2179, pp. 309–316. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  8. 8.
    Ostromsky, T., Zlatev, Z.: Flexible Two-Level Parallel Implementations of a Large Air Pollution Model. In: Dimov, I.T., Lirkov, I., Margenov, S., Zlatev, Z. (eds.) NMA 2002. LNCS, vol. 2542, pp. 545–554. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  9. 9.
    Saltelli, A., Tarantola, S., Campolongo, F., Ratto, M.: Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models. Halsted Press, New York (2004)zbMATHGoogle Scholar
  10. 10.
    Sobol, I.M.: Sensitivity estimates for nonlinear mathematical models. Mathematical Modeling and Computational Experiment 1, 407–414 (1993)MathSciNetzbMATHGoogle Scholar
  11. 11.
    Sobol, I.M.: Global Sensitivity Indices for Nonlinear Mathematical Models and Their Monte Carlo Estimates. Mathematics and Computers in Simulation 55(1-3), 271–280 (2001)MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    WEB-site of the Danish Eulerian Model,
  13. 13.
    Zlatev, Z.: Computer treatment of large air pollution models. Kluwer (1995)Google Scholar
  14. 14.
    Zlatev, Z., Dimov, I., Georgiev, K.: Three-dimensional version of the Danish Eulerian Model. Zeitschrift für Angewandte Mathematik und Mechanik 76(S4), 473–476 (1996)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Tzvetan Ostromsky
    • 1
  • Ivan Dimov
    • 1
  • Rayna Georgieva
    • 1
  • Zahari Zlatev
    • 2
  1. 1.Institute of Information and Communication TechnologiesBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Department of Atmospheric EnvironmentNational Environmental Research InstituteRoskildeDenmark

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