Metastable shock waves in the region of their ambiguous representation

The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The segments are adjacent to the region of the shock wave instability L > 1 + 2M from the side of greater and lower pressure. Here, L is the D'yakov pa...

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Published inJournal of physics. Conference series Vol. 1787; no. 1; pp. 12013 - 12019
Main Authors Konyukhov, A V, Levashov, P R, Likhachev, A P
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2021
Subjects
Damping
Equations of state
Hugoniot curves
Mach number
Parameters
Perturbation
Physics
Representations
Segments
Shock waves
Stability
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Abstract The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The segments are adjacent to the region of the shock wave instability L > 1 + 2M from the side of greater and lower pressure. Here, L is the D'yakov parameter and M is the post-shock Mach number. The model equation of state is used. For the constructed Hugoniot curve, the ambiguity sections are overlapped by the shock wave neutral stability regions. The three-dimensional simulations with varying post-shock parameters and perturbation intensity are performed. It is shown that shock waves considered are metastable: for any intensity of the shock wave, there are intervals of the perturbation threshold values inside of which the shock is neutrally stable or unstable. Neutral stability is characterized by the weak damping of secondary waves occurring as result of the perturbation.
AbstractList Abstract The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The segments are adjacent to the region of the shock wave instability L > 1 + 2M from the side of greater and lower pressure. Here, L is the D’yakov parameter and M is the post-shock Mach number. The model equation of state is used. For the constructed Hugoniot curve, the ambiguity sections are overlapped by the shock wave neutral stability regions. The three-dimensional simulations with varying post-shock parameters and perturbation intensity are performed. It is shown that shock waves considered are metastable: for any intensity of the shock wave, there are intervals of the perturbation threshold values inside of which the shock is neutrally stable or unstable. Neutral stability is characterized by the weak damping of secondary waves occurring as result of the perturbation.
The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The segments are adjacent to the region of the shock wave instability L > 1 + 2M from the side of greater and lower pressure. Here, L is the D'yakov parameter and M is the post-shock Mach number. The model equation of state is used. For the constructed Hugoniot curve, the ambiguity sections are overlapped by the shock wave neutral stability regions. The three-dimensional simulations with varying post-shock parameters and perturbation intensity are performed. It is shown that shock waves considered are metastable: for any intensity of the shock wave, there are intervals of the perturbation threshold values inside of which the shock is neutrally stable or unstable. Neutral stability is characterized by the weak damping of secondary waves occurring as result of the perturbation.
Author Likhachev, A P
Konyukhov, A V
Levashov, P R
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10.1134/S0021364009130062
10.1070/PU1989v032n11ABEH002777
10.1134/S1063776107040188
10.1134/S1028335818080050
10.1063/1.1706503
10.1134/1.1757680
10.1103/PhysRevLett.84.1180
ContentType Journal Article
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Snippet The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The segments are...
Abstract The behavior of perturbed shocks belonging to Hugoniot segments with ambiguous representation of the shock-wave discontinuity is considered. The...
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StartPage 12013
SubjectTerms Damping
Equations of state
Hugoniot curves
Mach number
Parameters
Perturbation
Physics
Representations
Segments
Shock waves
Stability
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Title Metastable shock waves in the region of their ambiguous representation
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