Investigation of the mechanism of SASI in core collapse supernovae using simple toy model simulations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We perform numerical simulations of a toy model proposed by Foglizzo (2009) to explain the mechanism of the standing accretion shock instability (SASI), and confirm the results of the linear analysis. Three types of simulations have been performed, measuring (i) the acoustic feedback resulting from the advection of entropy/vorticity in a region of deceleration, (ii) the advected wave generated at a shock perturbed by an acoustic wave, and (iii) the growth rate and oscillation frequency of the dominant advective-acoustic cycle in the linear regime. The results of the simulations agree with the linear analysis within 5% when the mesh size is 1% of the distance between the shock and the deceleration region, with a numerical error dominated by the numerical treatment of the shock. This simple toy model can be used as a benchmark test for numerical codes dealing with SASI simulations.

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