Shock Waves

, Volume 22, Issue 6, pp 557–566 | Cite as

Hydrodynamics of explosion: models and software for modeling explosions and estimation of their consequences

  • K. L. Stepanov
  • Y. A. Stankevich
  • A. S. Smetannikov
Original Article


Physical and hydrodynamic processes accompanying explosions of condensed explosives and fuel–air mixtures have been considered. Wide-range equations of state of explosion products and air have been used. A physical model and a program code based on the gas dynamics equations in the Lagrangian form have been developed for modeling one-dimensional hydrodynamic processes in the near zone of explosion. This firmware forms the basis for estimation of explosion consequences. The described model has shown its working efficiency within a wide range of explosion energies and environmental conditions.


Explosion Equation of state Blast waves Modeling Software 



Explosion products


Shock wave


Equation of state


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  1. 1.
    Landau L.D., Lifschitz E.M.: Fluid Mechanics. Nauka Press, Moscow (1987)MATHGoogle Scholar
  2. 2.
    Sedov L.I.: Similarity and Dimensional Methods in Mechanics. CRC Press, Boston (1993)Google Scholar
  3. 3.
    Korobeinikov V.P.: Problems of Point-Blast Theory. American Institute of Physics, New York (1991)Google Scholar
  4. 4.
    Kuznetsov N.M., Shvedov K.K.: Equation of state of the products of cyclonite detonation. Combust. Explos. Shock Waves 2(4), 85–96 (1966)CrossRefGoogle Scholar
  5. 5.
    Orlenko, L.P. (eds): Physics of Explosion. Fizmatlit Press, Moscow (2004)Google Scholar
  6. 6.
    Stepanov, K.L., Stankevich, Y.A.: Hydrodynamics of the initial phase of explosion: models and software for modeling explosions and estimation of their consequences. Heat Mass Transfer Institute, No. 4, Minsk (2008, Preprint)Google Scholar
  7. 7.
    Stepanov K.L., Stanchits L.K., Stankevich Y.A.: Bank of optical and physical characteristics for solving problems of radiative plasma dynamics. J. Appl. Spectrosc. 67, 327–335 (2000)CrossRefGoogle Scholar
  8. 8.
    Stepanov K.L., Stanchits L.K., Stankevich Y.A.: Radiation of strong shock waves in air: part I. High Temp. 38, 182–190 (2000)CrossRefGoogle Scholar
  9. 9.
    Stepanov, K.L.: The maximal parameters of shock waves of explosion in air. Heat- and Mass Transfer-2008. In: Proceedings of A.V. Luikov Heat and Mass Transfer Institute, Minsk, Belarus, pp. 199–203 (2008)Google Scholar
  10. 10.
    Richtmyer R.D., Morton K.W.: Difference Methods for Initial-Value Problems. Interscience Publishers, New York (1967)MATHGoogle Scholar
  11. 11.
    Stankevich, Y.A., Stepanov, K.L., Zen’kevich, S.M. et al.: Mathematical modeling of the problems of the radiating gas dynamics on supercomputers. In: Proceedings of the International Conference on “Supercomputer Systems and Their Application”, pp. 181–186. National Academy of Sciences of Belarus, Belarus (2004)Google Scholar
  12. 12.
    Broud, H.L.: Blast wave in air resulting from a high temperature, high pressure sphere of air. In: Broud, H. (ed.) Calculation of Explosions by Computers. Gas Dynamics of Explosions. Mir Press, Moscow (1976)Google Scholar
  13. 13.
    Broud H.L.: Blast wave from a spherical charge. Phys. Fluids 2, 217–228 (1959)CrossRefGoogle Scholar
  14. 14.
    Baker W.F., Cox P.A., Westine P.S. et al.: Explosion Hazards and Evaluation. Elsevier, Amsterdam (1983)Google Scholar
  15. 15.
    Sadovskii, M.A.: Mechanical actions of air shock waves by the data of experimental studies. In: Mechanical Action of Explosion. UD MID RF Press, Moscow (1994)Google Scholar
  16. 16.
    Sadovskii, M.A.: Mechanical and seismic action of explosion. In: Selected Proceedings Geophysics and Physics of Explosion. Nauka Press, Moscow (2004)Google Scholar
  17. 17.
    Khristoforov B.D.: Effect of properties of the source on the action of explosions in air and water. Combust. Explos. Shock Waves 40(6), 115–120 (2004)CrossRefGoogle Scholar
  18. 18.
    Glasstone S., Dolan P.J.: The Effects of Nuclear Weapons. US Department of Defense and US Department of Energy, USA (1977)CrossRefGoogle Scholar
  19. 19.
    Bangash M.Y.H.: Shock, Impact and Explosion Structural Analysis and Design. Springer, Berlin (2009)Google Scholar
  20. 20.
    Gel’fand B.E., Silnikov M.V.: High-Explosive Effects of Explosion. Poligon, St. Petersburg (2002)Google Scholar

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • K. L. Stepanov
    • 1
  • Y. A. Stankevich
    • 1
  • A. S. Smetannikov
    • 1
  1. 1.Radiation Gas Dynamics LaboratoryHeat and Mass Transfer Institute of the National Academy of SciencesMinskBelarus

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