The existence and stability of relativistic shock waves: general criteria and numerical simulations for a non-convex equation of state
A small viscosity approach to discontinuous flows is discussed in relativistic hydrodynamics with a general (possibly, non-convex) equation of state that typically occurs in the domains of phase transitions. Different forms of criteria for the existence and stability of relativistic shock waves,...
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
1998
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/119812 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The existence and stability of relativistic shock waves: general criteria and numerical simulations for a non-convex equation of state / P.V. Tytarenko, V.I. Zhdanov // Condensed Matter Physics. — 1998. — Т. 1, № 3(15). — С. 643-654. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | A small viscosity approach to discontinuous flows is discussed in relativistic
hydrodynamics with a general (possibly, non-convex) equation of state
that typically occurs in the domains of phase transitions. Different forms of
criteria for the existence and stability of relativistic shock waves, such as
evolutionarity conditions, entropy criterion and corrugation stability conditions
are compared with the requirement of the existence of shock viscous
profile. The latter is shown to be most restrictive in case of a single-valued
shock adiabat expressed as a function of pressure. One-dimensional numerical
simulations with artificial viscosity for a simple piecewise-linear
equation of state are carried out to illustrate the criteria in the case of planar
and spherical shock waves. The effect of a phase transition domain on
the shock amplitude in the process of a hydrodynamical spherical collapse
is demonstrated. |
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