Threetemperature plasma shock solutions with gray radiation diffusion
Here we discuss the effects of radiation on the structure of shocks in a fully ionized plasma are investigated by solving the steadystate fluid equations for ions, electrons, and radiation. The electrons and ions are assumed to have the same bulk velocity but separate temperatures, and the radiation is modeled with the gray diffusion approximation. Both electron and ion conduction are included, as well as ion viscosity. When the material is optically thin, threetemperature behavior occurs. When the diffusive flux of radiation is important but radiation pressure is not, twotemperature behavior occurs, with the electrons strongly coupled to the radiation. Since the radiation heats the electrons on length scales that are much longer than the electron–ion Coulomb coupling length scale, these solutions resemble radiative shock solutions rather than plasma shock solutions that neglect radiation. When radiation pressure is important, all three components are strongly coupled. Results with constant values for the transport and coupling coefficients are compared to a full numerical simulation with a good match between the two, demonstrating that steady shock solutions constitute a straightforward and comprehensive verification test methodology for multiphysics numerical algorithms.
 Authors:

^{[1]};
^{[2]}
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States)
 Publication Date:
 Report Number(s):
 LLNLJRNL685240
Journal ID: ISSN 09381287
 Grant/Contract Number:
 AC5207NA27344
 Type:
 Accepted Manuscript
 Journal Name:
 Shock Waves
 Additional Journal Information:
 Journal Name: Shock Waves; Journal ID: ISSN 09381287
 Publisher:
 Springer
 Research Org:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION; plasma shocks; radiative shocks; code verification
 OSTI Identifier:
 1297639
Johnson, Bryan M., and Klein, Richard I.. Threetemperature plasma shock solutions with gray radiation diffusion. United States: N. p.,
Web. doi:10.1007/s0019301606499.
Johnson, Bryan M., & Klein, Richard I.. Threetemperature plasma shock solutions with gray radiation diffusion. United States. doi:10.1007/s0019301606499.
Johnson, Bryan M., and Klein, Richard I.. 2016.
"Threetemperature plasma shock solutions with gray radiation diffusion". United States.
doi:10.1007/s0019301606499. https://www.osti.gov/servlets/purl/1297639.
@article{osti_1297639,
title = {Threetemperature plasma shock solutions with gray radiation diffusion},
author = {Johnson, Bryan M. and Klein, Richard I.},
abstractNote = {Here we discuss the effects of radiation on the structure of shocks in a fully ionized plasma are investigated by solving the steadystate fluid equations for ions, electrons, and radiation. The electrons and ions are assumed to have the same bulk velocity but separate temperatures, and the radiation is modeled with the gray diffusion approximation. Both electron and ion conduction are included, as well as ion viscosity. When the material is optically thin, threetemperature behavior occurs. When the diffusive flux of radiation is important but radiation pressure is not, twotemperature behavior occurs, with the electrons strongly coupled to the radiation. Since the radiation heats the electrons on length scales that are much longer than the electron–ion Coulomb coupling length scale, these solutions resemble radiative shock solutions rather than plasma shock solutions that neglect radiation. When radiation pressure is important, all three components are strongly coupled. Results with constant values for the transport and coupling coefficients are compared to a full numerical simulation with a good match between the two, demonstrating that steady shock solutions constitute a straightforward and comprehensive verification test methodology for multiphysics numerical algorithms.},
doi = {10.1007/s0019301606499},
journal = {Shock Waves},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {4}
}