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 Matem. Mod., 2017, Volume 29, Number 3, Pages 95–112 (Mi mm3829)

Disturbance evolution in the shock impact of a density non-uniform medium

K. E. Gorodnichev, P. P. Zakharov, S. E. Kuratov, I. S. Menshov, A. A. Serezhkin

FSUE VNIIA

Abstract: In this work the problem of two semi-infinite plates impact is analyzed theoretically and numerically. At initial, the density field in the impactor is perturbed while the pressure distribution is constant. We consider high velocity impact so that the problem is solved with the hydrodynamic approach. It is theoretically shown that different modes of the perturbation evolution in plates can be realized due to initial data. Numerical simulations are carried out by using Godunov-type methods with different numerical flux approximations. The stationary and moving eulerian meshes are employed. Analyzing comparison between numerical results with analytical solutions conclusions are inferred on numerical approaches best fitted for solving such impact contact problems.

Keywords: shock impact, entropy and shock waves, linear analysis of stability, numerical modeling.

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Citation: K. E. Gorodnichev, P. P. Zakharov, S. E. Kuratov, I. S. Menshov, A. A. Serezhkin, “Disturbance evolution in the shock impact of a density non-uniform medium”, Matem. Mod., 29:3 (2017), 95–112

Citation in format AMSBIB
\Bibitem{GorZakKur17} \by K.~E.~Gorodnichev, P.~P.~Zakharov, S.~E.~Kuratov, I.~S.~Menshov, A.~A.~Serezhkin \paper Disturbance evolution in the shock impact of a density non-uniform medium \jour Matem. Mod. \yr 2017 \vol 29 \issue 3 \pages 95--112 \mathnet{http://mi.mathnet.ru/mm3829} \elib{https://elibrary.ru/item.asp?id=28922649} 

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This publication is cited in the following articles:
1. P. S. Utkin, S. V. Fortova, “Mathematical modeling of high-speed interaction of metallic plates within the two-fluid Euler approach”, Comput. Math. Math. Phys., 58:8 (2018), 1377–1383
2. Utkin P.S. Fortova S.V., “Numerical Modeling of Dense Flows of Two-Phase Media With Shock Waves Using Two-Fluid Models”, AIP Conference Proceedings, 2027, ed. Fomin V., Amer Inst Physics, 2018, 030107-1
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