On physical and numerical instabilities arising in simulations of non-stationary radiatively cooling shocks [HEAP]

http://arxiv.org/abs/1512.02037


We describe our experience of modelling of the radiatively cooling shocks and their thin shells with various numerical tools in different physical and calculational setups. We have found that under certain physical conditions, the circular shaped shells show a strong bending instability and successive fragmentation on Cartesian grids soon after their formation, while remain almost unperturbed when simulated on polar meshes. We explain these results as an interplay of numerical perturbations superimposed by grids not aligned to the flow lines, and a physical Rayleigh–Taylor like instability of the thin shell inner boundary being accelerated during re-estabilshing of pressure balance within and behind the shell after preceding sudden temperature loss. This phenomenon also sets new requirements on further radiatively cooling shocks simulations in order to be physically correct and free of numerical artefacts.

Read this paper on arXiv…

D. Badjin, S. Glazyrin, K. Manukovskiy, et. al.
Tue, 8 Dec 15
10/71

Comments: 19 pages, 11 figures, submitted to MNRAS