Oscillatory instability of radiative shocks with transverse magnetic field - Linear analysis and nonlinear simulations

Details Oscillatory instability of radiative shocks with transverse magnetic field - Linear analysis and nonlinear simulations Oscillatory instability of radiative shocks with transverse magnetic field - Linear analysis and nonlinear simulations

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...413..176t&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 413, no. 1, p. 176-189.

Astronomy and Astrophysics

Astrophysics

28

Gas Dynamics, Interstellar Gas, Magnetic Field Configurations, Shock Wave Interaction, Thermal Instability, Linear Equations, Nonlinear Equations, Oscillating Flow, Shock Fronts

Scientific paper

We examine the stability of plane-parallel radiative shocks with a transverse magnetic field, for radiative cooling laws in which Lambda varies as rho-squared T exp alpha; the instability is a global thermal one driving a periodic oscillation of the shock front, and corresponding oscillation in the instantaneous shock speed. The two dimensionless parameters determining the stability of the system are alpha, the exponent of the power law, and the Alfven Mach number MA. We determine the stable and unstable regions of this 2D parameter space for the fundamental mode and the first seven overtone modes through linear analysis of the hydrodynamical equations. As expected, the magnetic field has a stabilizing influence. For alpha greater than 0, even a relatively weak magnetic field can stabilize against all modes. For alpha greater than 0.5, even weaker fields are sufficient to suppress thermal instability. We also determine the linear growth rates and frequencies of the fundamental mode and the first and second overtones for 12 pairs of the parameters alpha and MA.

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