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 J. Comp. Eng. Math., 2018, Volume 5, Issue 1, Pages 3–13 (Mi jcem108)

Engineering Mathematics

Simulation of shock compression and thermal expansion of simple substance and complex compounds

S. Yu. Filatov

Russian Federal Nuclear Center – Academician E.I. Zababakhin All-Russian Research Institute of Technical Physics, Russian Federation

Abstract: Mathematical modeling of physical processes using modern computer technology is applied for studying the behavior of continuous media with dynamic loads. The system of equations for the mechanics of a continuous medium is the laws of conservation of mass, momentum, and energy. This system of equations is closed by the equation of state constructed for a elementary substance or a complex chemical compound. A new method of the formulation of state equations in the area of not very big pressures is offered at this paper. Basic parameters of the equation of state are selected for complex chemical compounds using the original version of the Simplex-method. The method uses linear dependences of the shock wave velocity against the substance velocity and thermal expansion data under constant pressure. For the target function a sum of quadratic differences between calculated and experimental values has been selected. coincidence of theoretical and experimental values is obtained. Satisfactory coincidence of theoretical and experimental values is obtained. The paper was supported by RFBR, Grant 13-01-00072.

Keywords: equation of state, Simplex-method, shock compression, thermal expansion.

 Funding Agency Grant Number Russian Foundation for Basic Research 13-01-00072 The paper was supported by RFBR, Grant 13-01-00072.

DOI: https://doi.org/10.14529/jcem180101

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UDC: 536.71
MSC: 82B30
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Citation: S. Yu. Filatov, “Simulation of shock compression and thermal expansion of simple substance and complex compounds”, J. Comp. Eng. Math., 5:1 (2018), 3–13

Citation in format AMSBIB
\Bibitem{Fil18} \by S.~Yu.~Filatov \paper Simulation of shock compression and thermal expansion of simple substance and complex compounds \jour J. Comp. Eng. Math. \yr 2018 \vol 5 \issue 1 \pages 3--13 \mathnet{http://mi.mathnet.ru/jcem108} \crossref{https://doi.org/10.14529/jcem180101} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3789431} \elib{https://elibrary.ru/item.asp?id=32737014}