Discrete self-similarity in ultrarelativistic type-II strong explosions
Phys. Fluids 21, 106102 (2009); doi:10.1063/1.3231838
Published 12 October 2009
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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.
©2009 American Institute of Physics
| History: | Received 4 June 2009; accepted 13 August 2009; published 12 October 2009 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/21/106102/1 |
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