Abstract
Shock waves undergoing radiative cooling are known to suffer from a global instability caused by rapid variations of the cooling time scale with the shock speed. In the limit of optically thin plasma, the linear stability analysis of planar shocks with a power-law cooling function ^;∝ ρ2Tα is reviewed. It is shown that the shock front can oscillate around its stationary position with increasing quantized frequencies resembling the modes of a pipe open at one end. Transition to nonlinearity is investigated by solving the full time-dependent problem by means of numerical simulations. For values of the sufficiently small (α ≲ 0.5), cooling exponent computations reveal that the shock oscillations are shown to saturate at a finite amplitude and tend to a quasi periodic cycle.
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Mignone, A. (2008). The Oscillatory Instability of Radiative Shock Waves. In: Massaglia, S., Bodo, G., Mignone, A., Rossi, P. (eds) Jets From Young Stars III. Lecture Notes in Physics, vol 754. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76967-5_6
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DOI: https://doi.org/10.1007/978-3-540-76967-5_6
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