Solutions of the imploding shock problem in a medium with varying density
We consider the solutions of the Guderley problem, consisting of an imploding strong shock wave in an ideal gas with a power law initial density profile. The self-similar solutions, and, specifically, the similarity exponent that determines the behavior of the accelerating shock, are studied in deta...
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Published in | Physics of fluids (1994) Vol. 33; no. 6 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Melville
American Institute of Physics
01.06.2021
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Subjects | |
Online Access | Get full text |
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Summary: | We consider the solutions of the Guderley problem, consisting of an imploding strong shock wave in an ideal gas with a power law initial density profile. The self-similar solutions, and, specifically, the similarity exponent that determines the behavior of the accelerating shock, are studied in detail, for cylindrical and spherical symmetries and for a wide range of the adiabatic index and the spatial density exponent. We then demonstrate how the analytic solutions can be reproduced in Lagrangian hydrodynamic codes, thus demonstrating their usefulness as a code validation and verification test problem. |
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ISSN: | 1070-6631 1089-7666 |
DOI: | 10.1063/5.0054525 |