Discrete self-similarity in ultrarelativistic type-II strong explosions

Yonatan Oren; Re'em Sari

doi:10.1063/1.3231838

Discrete self-similarity in ultrarelativistic type-II strong explosions

Yonatan Oren^*, Re'em Sari

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A solution to the ultrarelativistic strong explosion problem with a nonpower 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.

Original language	English
Article number	106102
Journal	Physics of Fluids
Volume	21
Issue number	10
DOIs	https://doi.org/10.1063/1.3231838
State	Published - 2009

Bibliographical note

Funding Information:
The authors wish to thank Professor Tsvi Piran for fruitful discussions. This research was partially supported by a NASA grant, IRG grant, and a Packard Fellowship.

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10.1063/1.3231838

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Discrete self-similarity in ultrarelativistic type-II strong explosions

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