A boundary condition for Guderley’s converging shock problem
Abstract
The Guderley model of a self-similar imploding shock based on the group invariance of the flow equations is a powerful tool in understanding the behavior of converging shock waves. Two modifications described here improve the predictions of observable quantities in spherical-shock wave experiments. First, a non-infinite boundary condition is established by the isentropic release of the outer pressure. Second, a two-temperature system of ions and electrons allows description of higher temperatures while conserving energy and without perturbing the overall hydrodynamics of the solution. Furthermore, these modifications of the Guderley model improve the prediction of the observables in laser driven spherical shock experiments in reference to a one dimensional (1-D) hydrodynamics code.
- Authors:
-
[1];
[2];
[2];
- Univ. of Rochester, NY (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1581638
- Alternate Identifier(s):
- OSTI ID: 1579459; OSTI ID: 1810685; OSTI ID: 1899606
- Report Number(s):
- 2019-240, 2541; LLNL-JRNL-812593
Journal ID: ISSN 1070-6631; 2019-240, 1542, 2499; TRN: US2102010
- Grant/Contract Number:
- NA0003856; SC0019269; AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 12; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Thermodynamic properties; entropy; atomic properties; Newtonian mechanics; hydrodynamic codes; shock wave experiments; neutron emission; equations of state; speed of sound
Citation Formats
Ruby, J. J., Rygg, J. R., Gaffney, J. A., Bachmann, B., and Collins, G. W. A boundary condition for Guderley’s converging shock problem. United States: N. p., 2019.
Web. doi:10.1063/1.5130769.
Ruby, J. J., Rygg, J. R., Gaffney, J. A., Bachmann, B., & Collins, G. W. A boundary condition for Guderley’s converging shock problem. United States. https://doi.org/10.1063/1.5130769
Ruby, J. J., Rygg, J. R., Gaffney, J. A., Bachmann, B., and Collins, G. W. Mon .
"A boundary condition for Guderley’s converging shock problem". United States. https://doi.org/10.1063/1.5130769. https://www.osti.gov/servlets/purl/1581638.
@article{osti_1581638,
title = {A boundary condition for Guderley’s converging shock problem},
author = {Ruby, J. J. and Rygg, J. R. and Gaffney, J. A. and Bachmann, B. and Collins, G. W.},
abstractNote = {The Guderley model of a self-similar imploding shock based on the group invariance of the flow equations is a powerful tool in understanding the behavior of converging shock waves. Two modifications described here improve the predictions of observable quantities in spherical-shock wave experiments. First, a non-infinite boundary condition is established by the isentropic release of the outer pressure. Second, a two-temperature system of ions and electrons allows description of higher temperatures while conserving energy and without perturbing the overall hydrodynamics of the solution. Furthermore, these modifications of the Guderley model improve the prediction of the observables in laser driven spherical shock experiments in reference to a one dimensional (1-D) hydrodynamics code.},
doi = {10.1063/1.5130769},
journal = {Physics of Fluids},
number = 12,
volume = 31,
place = {United States},
year = {Mon Dec 16 00:00:00 EST 2019},
month = {Mon Dec 16 00:00:00 EST 2019}
}
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