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Communication Papers of the 19th Conference on Computer Science and Intelligence Systems (FedCSIS)

Annals of Computer Science and Information Systems, Volume 41

Sensitivity Analysis in Air Pollution Modeling Supported by High Performance Supercomputers

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DOI: http://dx.doi.org/10.15439/2024F2586

Citation: Communication Papers of the 19th Conference on Computer Science and Intelligence Systems (FedCSIS), M. Bolanowski, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 41, pages 125130 ()

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Abstract. Environmental modeling (and air pollution modeling in particular) is one of the toughest problems of computational mathematics. All relevant physical, chemical, and photochemical processes in the atmosphere should be taken into account. These are mathematically represented by a complex system of partial differential equations (PDEs). To simplify the original PDE system proper splitting procedure is applied. As a result, the initial system is replaced by several simpler submodels, connected with the main physical and chemical processes. Even in the case of a local study of the environment in a relatively small area, the model should be calculated in a large spatial domain, because the pollutants can be moved quickly over long distances, driven by the atmosphere dynamics, especially at high altitudes. One major source of difficulty is the high intensity of the atmospheric processes, which require a small time step to be used to get a stable numerical solution (at least in the chemistry submodel). All this makes the treatment of large-scale air pollution models a heavy computational task that requires efficient numerical algorithms. It has always been a serious challenge for the fastest and most powerful supercomputers of their time. Fortunately, Bulgaria is one of the leading countries in Eastern Europe concerning the supercomputer infrastructure development in recent years.

References

  1. Alexandrov V. and et al., Numerical integration of chemical ODE problems arising in air pollution models. Env. Modeling and Assessment 2, 1997, 365–377.
  2. Christensen J., The Danish Eulerian Hemispheric Model. In: Gryning SE. Schiermeier F.A. (eds.) Air Pollution Modeling and Its Application XI NATO Challenges of Modern Society 21 Springer Boston MA, 1996.
  3. Christensen J., The Danish Eulerian hemispheric model — a three-dimensional air pollution model used for the arctic. Atmospheric Environment, 31(24), 1997, 4169-4191.
  4. Dimov I., Monte Carlo Methods For Applied Scientists. World Scientific, 2007.
  5. Dimov I. et al., A Super-Convergent Stochastic Method Based on the Sobol Sequence for Multidimensional Sensitivity Analysis in Environmental Protection. Axioms, 2023, 12(2):146.
  6. Dimov I. et al., Studying the sensitivity of pollutants’ concentrations caused by variations of chemical rates. J. Comput. Appl. Math. 235, 2010, 391–402.
  7. Dimov I. et al., Computational challenges in the numerical treatment of large air pollution models. Ecological Modelling 179, 2004, 187–203.
  8. Gery M. et al., A photochemical kinetics mechanism for urban and regional scale computer modelling. J. Geophys Res. 94(D10), 1989, 12925–12956.
  9. Hesstvedt E. et al., Quasi-steady-state approximations in air pollution modeling: comparison of two numerical schemes for oxidant prediction. Int. Journal of Chemical Kinetics 10, 1978, 971–994.
  10. Homma T., Importance measures in global sensitivity analysis of nonlinear models. Reliability Engineering and System Safety 52, 1996, 1–17.
  11. Hov Ø. et al., Comparison of numerical techniques for use in air pollution models with non-linear chemical reactions. Atmospheric Environment 23, 1988, 967–983.
  12. Hvidtfeldt U. A. et al., Evaluation of the Danish AirGIS air pollution modeling system against measured concentrations of PM2.5, PM10, and black carbon. Environmental Epidemiology 2(2), 2018, pe014.
  13. Ostromsky Tz. et al., Air pollution modeling, sensitivity analysis, and parallel implementation. Int. Journal of Environment and Pollution 46 (1-2), 2011, 83–96.
  14. Ostromsky Tz. and Zlatev Z., Parallel Implementation of a Large-scale 3-D Air Pollution Model. Large Scale Scientific Computing (S. Margenov, J. Wasniewski, P. Yalamov, Eds.) Spinger 2179, 2001, 309–316.
  15. Ostromsky Tz. and Zlatev Z., Flexible Two-level Parallel Implementations of a Large Air Pollution Model. Numerical Methods and Applications (I.Dimov, I.Lirkov, S. Margenov, Z. Zlatev eds.) LNCS 2542, 2002, 545–554.
  16. Ostromsky Tz. et al., Advanced Sensitivity Analysis of the Danish Eulerian Model in Parallel and Grid Environment. AIP Conf. Proc. 1404, 2011, 225–232.
  17. Saltelli A. et al., Sensitivity Analysis. John Wiley & Sons publishers, Probability and Statistics series, 2000.
  18. Saltelli A. et al., Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models, Halsted Press New York, 2004.
  19. Sobol I., Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates Mathematics and Computers in Simulation, 55 (1-3), 2001, 271–280.
  20. WEB-site of the Danish Eulerian Model: https://www2.dmu.dk/AtmosphericEnvironment/DEM/ (Last accessed December 2023).
  21. Zlatev Z., Computer treatment of large air pollution models Kluwer, 1995.
  22. Zahari Z., Comprehensive Air Pollution Studies with the Unified Danish Eulerian Model, 2003, 1125-1137.
  23. Zlatev Z. and Dimov I., Computational and Numerical Challenges in Environmental Modelling Elsevier Amsterdam, 2006.
  24. Technical documentation of MareNostrum III: https://www.bsc.es/marenostrum/marenostrum/mn3 (Last accessed April 2024)
  25. The official web page of the supercomputer Discoverer: https://sofiatech.bg/en/petascale-supercomputer/ (Last accessed April 2024)
  26. Discoverer HPC Doc: https://docs.discoverer.bg/index.html (Last accessed April 2024)
  27. Top500 list of supercomputers – November 2023: https://www.top500.org/system/179948/ (Last accessed April 2024)