Solutions of the imploding shock problem in a medium with varying density
| Autor: | Shmuel Balberg, Menahem Krief, Itamar Giron |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Shock wave
Similarity (geometry) Computational Mechanics FOS: Physical sciences 01 natural sciences Power law 010305 fluids & plasmas 0103 physical sciences Range (statistics) 010306 general physics Adiabatic process Mathematical Physics High Energy Astrophysical Phenomena (astro-ph.HE) Fluid Flow and Transfer Processes Physics Mechanical Engineering Fluid Dynamics (physics.flu-dyn) Mathematical Physics (math-ph) Mechanics Physics - Fluid Dynamics Computational Physics (physics.comp-ph) Condensed Matter Physics Ideal gas Physics - Plasma Physics Shock (mechanics) Plasma Physics (physics.plasm-ph) Mechanics of Materials Exponent Astrophysics - High Energy Astrophysical Phenomena Physics - Computational Physics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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