The problem of high velocity impact between two solid plates where one of them has a non-uniformly disturbed density field is studied. The nature of an initial perturbation here differs from one considered in the classical Richtmyer–Meshkov instability (RMI). We consider the instability that develops from the initial perturbations of the density field with a flat interface between plates, while RMI is triggered by a shock passing through the corrugated interface. The structure of perturbation fields generated in the plates due to impact and the interface evolution are studied via the analytic linear and nonlinear models for normal modes using the Euler equations for compressible fluids and appropriate boundary conditions. Such analysis reveals three different regimes in which the generated disturbances can develop depending on the direction of the perturbation wave vector. The obtained theoretical findings are in good quantitative agreement with our detailed numerical simulations.
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March 2020
Research Article|
March 02 2020
Theoretical and numerical analysis of density perturbation development induced by high velocity impact
Kirill Gorodnichev
;
Kirill Gorodnichev
a)
1
Dukhov Research Institute of Automatics (VNIIA), ROSATOM Corp.
, ul. Sushchevskaya, 22, Moscow 127055, Russia
a)Author to whom correspondence should be addressed: [email protected]
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Pavel Zakharov;
Pavel Zakharov
1
Dukhov Research Institute of Automatics (VNIIA), ROSATOM Corp.
, ul. Sushchevskaya, 22, Moscow 127055, Russia
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Sergei Kuratov;
Sergei Kuratov
1
Dukhov Research Institute of Automatics (VNIIA), ROSATOM Corp.
, ul. Sushchevskaya, 22, Moscow 127055, Russia
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Igor Menshov
;
Igor Menshov
1
Dukhov Research Institute of Automatics (VNIIA), ROSATOM Corp.
, ul. Sushchevskaya, 22, Moscow 127055, Russia
2
Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
, Miusskaya sq., 4, Moscow 125047, Russia
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Evgenii Gorodnichev
Evgenii Gorodnichev
a)
3
National Research Nuclear University MEPhI
, Kashirskoe Shosse 31, Moscow 115409, Russia
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 32, 034101 (2020)
Article history
Received:
December 13 2019
Accepted:
February 09 2020
Citation
Kirill Gorodnichev, Pavel Zakharov, Sergei Kuratov, Igor Menshov, Evgenii Gorodnichev; Theoretical and numerical analysis of density perturbation development induced by high velocity impact. Physics of Fluids 1 March 2020; 32 (3): 034101. https://doi.org/10.1063/1.5142252
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