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 in | Journal of physics. Conference series Vol. 1787; no. 1; pp. 12013 - 12019 |
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Format | Journal Article |
Language | English |
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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. |
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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 |
Author_xml | – sequence: 1 givenname: A V surname: Konyukhov fullname: Konyukhov, A V email: konyukhov_av@mail.ru organization: Joint Institute for High Temperatures of the Russian Academy of Sciences , Russia – sequence: 2 givenname: P R surname: Levashov fullname: Levashov, P R organization: Joint Institute for High Temperatures of the Russian Academy of Sciences , Russia – sequence: 3 givenname: A P surname: Likhachev fullname: Likhachev, A P organization: Joint Institute for High Temperatures of the Russian Academy of Sciences , Russia |
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Cites_doi | 10.1134/S0021364009130050 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 |
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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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