The growth of linear perturbations of adiabatic shock waves

Details The growth of linear perturbations of adiabatic shock waves The growth of linear perturbations of adiabatic shock waves

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...313..820r&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 313, Feb. 15, 1987, p. 820-841. Research supported by the Exxon Educational

Astronomy and Astrophysics

Astrophysics

66

Dynamic Stability, Gas Dynamics, Perturbation Theory, Shock Waves, Adiabatic Conditions, Detonation Waves, Eigenvalues, Hydrodynamic Equations, Linear Equations, Propagation Modes, Three Dimensional Models

Scientific paper

The linear theory of the dynamic instability of strong plane-parallel or spherical adiabatic blast shock wave in a medium with initially uniform density is considered. The principal frequency eigenvalues are obtained as a function of transverse wavelength for several values of the adiabatic index. It is found that the plane-parallel and spherical shocks are overstable for the adiabatic index less than about 1.2. The astrophysical implications of these results are discussed. These detailed eigenvalue and eigenmode results provide an opprotunity to test the accuracy of three-dimensional numerical models of shock wave evolution.

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