MPI and OpenMP Computations for Nuclear Waste Deposition Models

  • Ondřej Jakl
  • Roman Kohut
  • Jiří Starý
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4967)


In this paper, we introduce one important source of high-performance computations, namely mathematical modelling of deep geological repositories of the spent nuclear fuel, and describe two real concepts of such repositories. Mathematical modelling is practically the only way how to predict the behaviour of such facilities in their long-term existence. We present a simplified mathematical model that considers thermo-mechanical behaviour of the repositories and the corresponding in-house solver. This solver is analyzed as a parallel application with both MPI and OpenMP realizations. On the example of the two repositories and related demanding computations we develop a case study focused on practical comparison of those two paradigms of parallel processing.


deep geological repository mathematical model thermo-elasticity parallel solver OpenMP MPI 


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  1. 1.
    Blaheta, R., Byczanski, P., Kohut, R., Kolcun, A., Šňupárek, R.: Large-Scale Modelling of T-M Phenomena from Underground Reposition of the Spent Nuclear Fuel. In: Konečný, P., et al. (eds.) EUROCK 2005, Impact of Human Activity on Geological Environment., A.A.Balkema, Leiden, pp. 49–55 (2005)Google Scholar
  2. 2.
    Kohut, R., Starý, J., Kolcun, A.: The evaluation of the thermal behaviour of an underground repository of the spent nuclear fuel. In: Proceedings of the Sixth International Conference on Large-Scale Scientific Computing LSSC 2007 held in Sozopol, Springer, Berlin (to appear, 2007)Google Scholar
  3. 3.
    Kohut, R., Starý, J., Blaheta, R., Krečmer, K.: Parallel Computing of Thermoelasticity Problems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2005. LNCS, vol. 3743, pp. 671–678. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  4. 4.
    Smith, B., Bjørstad, P., Gropp, W.: Domain decomposition. Parallel multilevel methods for Elliptic Partial Differential Equations. Cambridge University Press, New York (1996)MATHGoogle Scholar
  5. 5.
    Svemar, C., Pusch, R.: Prototype Repository - Project description. IPR-00-30, SKB, Stockholm (2000)Google Scholar
  6. 6.
    Vavřina, V., et al.: Referenční projekt podzemních a nadzemních částí hlubinného úložistě. SURAO 23-8024-51-001/EGPI444-990 009 (1999)Google Scholar
  7. 7.
    UPPMAX home page (April 28, 2007),

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Ondřej Jakl
    • 1
  • Roman Kohut
    • 1
  • Jiří Starý
    • 1
  1. 1.Institute of GeonicsAcademy of Sciences of the Czech Republic 

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