A boundary condition for Guderley’s converging shock problem

Ruby, J. J.; Rygg, J. R.; Gaffney, J. A.; Bachmann, B.; Collins, G. W.

doi:10.1063/1.5130769

Title: A boundary condition for Guderley’s converging shock problem

Journal Article · 15 December 2019 · Physics of Fluids

DOI: https://doi.org/10.1063/1.5130769 · OSTI ID:1581638

^[1]; Rygg, J. R. ^[2];

^[3];

^[3]; Collins, G. W. ^[2]

Univ. of Rochester, NY (United States); Laboratory for Laser Energetics, University of Rochester
Univ. of Rochester, NY (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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.

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Research Organization:: Univ. of Rochester, NY (United States). Laboratory for Laser Energetics

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003856; SC0019269; AC52-07NA27344

OSTI ID:: 1581638

Report Number(s):: 2019-240, 2541; 2019-240, 1542, 2499

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 12 Vol. 31; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: A boundary condition for Guderley’s converging shock problem

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