Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions

Details Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions

2009-10-19

arxiv.org/abs/0910.3552v1

Phys. Fluids 21, 106102 (2009)

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

21 pages, 5 figures

Scientific paper

10.1063/1.3231838

A solution to the ultra-relativistic strong explosion problem with a non-power law density gradient is delineated. We consider a blast wave expanding into a density profile falling off as a steep radial power-law with small, spherically symmetric, and log-periodic density perturbations. We find discretely self-similar solutions to the perturbation equations and compare them to numerical simulations. These results are then generalized to encompass small spherically symmetric perturbations with arbitrary profiles.

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