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Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 5, Pages 913–931 (Mi zvmmf474)  

This article is cited in 13 scientific papers (total in 13 papers)

Calculation of shock compression of porous media in conical solid-state targets with an outlet hole

V. V. Milyavskiia, V. E. Fortova, A. A. Frolovab, K. V. Khishchenkoa, A. A. Charakhch'yanb, L. V. Shurshalovb

a Institute for High-Energy Densities, Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 125412, Russia
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: The Godunov-type method that was earlier developed for the hydrodynamic equations of compressible media on regular grids is extended to the case of shock wave flows in elastoplastic porous media. The results of numerical simulations of a hypothetical experimental plant for checking the effect of an increased intensity of converging shock waves in porous media with increasing degree of porosity are presented. This effect was earlier discovered by numerical simulations.

Key words: converging shock waves, porous media, elastoplastic flows.

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English version:
Computational Mathematics and Mathematical Physics, 2006, 46:5, 873–890

Bibliographic databases:

UDC: 519.634
Received: 15.11.2005

Citation: V. V. Milyavskii, V. E. Fortov, A. A. Frolova, K. V. Khishchenko, A. A. Charakhch'yan, L. V. Shurshalov, “Calculation of shock compression of porous media in conical solid-state targets with an outlet hole”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006), 913–931; Comput. Math. Math. Phys., 46:5 (2006), 873–890

Citation in format AMSBIB
\Bibitem{MilForFro06}
\by V.~V.~Milyavskii, V.~E.~Fortov, A.~A.~Frolova, K.~V.~Khishchenko, A.~A.~Charakhch'yan, L.~V.~Shurshalov
\paper Calculation of shock compression of porous media in conical solid-state targets with an outlet hole
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 5
\pages 913--931
\mathnet{http://mi.mathnet.ru/zvmmf474}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2286284}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 5
\pages 873--890
\crossref{https://doi.org/10.1134/S0965542506050113}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746068205}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Khishchenko K.V., Charakhch'yan A.A., Milyavskii V.V., Fortov V.E., Frolova A.A., Shurshalov L.V., “Mechanism of amplification of convergent shock waves in porous media”, Russian Journal of Physical Chemistry B, 1:6 (2007), 612–622  crossref  adsnasa  isi
    2. Khishchenko K.V., Milyavskiy V.V., Utkin A.V., Yakushev V.V., Zhuk A.Z., Fortov V.E., “Equation of state and physical-chemical transformations of C$_{60}$ fullerite at high pressures and temperatures”, Diamond and Related Materials, 16:4-7 (2007), 1204–1207  crossref  adsnasa  isi  scopus
    3. A. A. Charakhch'yan, “Continuous compression waves in the two-dimensional Riemann problem”, Comput. Math. Math. Phys., 49:10 (2009), 1774–1780  mathnet  crossref  isi
    4. Ternovoi V.Ya., Khishchenko K.V., Charakhch'yan A.A., “One method of producing a high-temperature dense plasma”, Journal of Applied Mechanics and Technical Physics, 50:3 (2009), 371–379  crossref  zmath  adsnasa  isi  isi  elib  scopus
    5. V. V. Milyavskii, V. E. Fortov, A. A. Frolova, K. V. Khishchenko, A. A. Charakhch'yan, L. V. Shurshalov, “On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets”, Comput. Math. Math. Phys., 50:12 (2010), 2082–2094  mathnet  crossref  adsnasa
    6. Charakhch'yan A.A., Khishchenko K.V., Fortov V.E., Frolova A.A., Milyavskiy V.V., Shurshalov L.V., “Shock compression of some porous media in conical targets: numerical study”, Shock Waves, 21:1 (2011), 35–42  crossref  adsnasa  isi  scopus
    7. Khishchenko K.V., Charakhch'yan A.A., Fortov V.E., Frolova A.A., Milyavskiy V.V., Shurshalov L.V., “Hydrodynamic simulation of converging shock waves in porous conical samples enclosed within solid targets”, Journal of Applied Physics, 110:5 (2011), 053501  crossref  adsnasa  isi  scopus
    8. V. I. Gryn', A. A. Frolova, A. A. Charakhch'yan, “Nonconservative scheme with the isentropic condition in rarefaction waves as applied to the compressible Euler equations”, Comput. Math. Math. Phys., 53:11 (2013), 1720–1728  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    9. S. A. Kinelovskii, K. K. Maevskiy, “Model of the behavior of aluminum and aluminum-based mixtures under shock-wave loading”, High Temperature, 52:6 (2014), 821–829  mathnet  crossref  crossref  isi  elib  elib
    10. Kinelovskii S.A., Maevskii K.K., “Estimation of the thermodynamic parameters of a shock-wave action on high-porosity heterogeneous materials”, Tech. Phys., 61:8 (2016), 1244–1249  crossref  isi  elib  scopus
    11. Charakhch'yan A.A. Khishchenko K.V., “Fast Ignition of Precompressed Dt Fuel Placed in An Absolutely Rigid Heat-Insulated Cylinder”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012113  crossref  isi  scopus
    12. Schlothauer T., Schimpf C., Schwarz M.R., Heide G., Kroke E., “The Role of Decompression and Micro-Jetting in Shock Wave Synthesis Experiments”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012053  crossref  isi  scopus
    13. Khishchenko K.V., “Equation of State of Sodium For Modeling of Shock-Wave Processes At High Pressures”, Math. Montisnigri, 40 (2017), 140–147  mathscinet  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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