The stability of an accelerating shock wave in an exponential atmosphere

Details The stability of an accelerating shock wave in an exponential atmosphere The stability of an accelerating shock wave in an exponential atmosphere

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...359..463c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 359, Aug. 20, 1990, p. 463-468.

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16

Acceleration (Physics), Computational Astrophysics, Shock Waves, Stellar Atmospheres, Supernovae, Astronomical Models, Perturbation Theory, Shock Fronts

Scientific paper

The stability of a self-similar solution for an accelerating shock wave in an exponential atmosphere is studied using a linearized, normal mode analysis. An eigenvalue is determined by passing the solution through a critical point in the postshock flow. While instability is present over a wide range of parameters, the growth rate of the instability is slow. The shock front must travel four scale heights for a doubling in magnitude of a linear perturbation under the most favorable conditions for growth. The instability is expected to operate in a similar way for other accelerating shock fronts in steep density gradients. Substantial initial peturbations are needed for significant effects; this may occur in type Ia SNe and in the SN giving rise to Cas A.

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