Viscous regularization of the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations
A viscous regularization technique, based on the local entropy residual, was proposed by Delchini et al. (2015) to stabilize the nonequilibriumdiffusion Grey RadiationHydrodynamic equations using an artificial viscosity technique. This viscous regularization is modulated by the local entropy production and is consistent with the entropy minimum principle. However, Delchini et al. (2015) only based their work on the hyperbolic parts of the Grey RadiationHydrodynamic equations and thus omitted the relaxation and diffusion terms present in the material energy and radiation energy equations. Here in this paper, we extend the theoretical grounds for the method and derive an entropy minimum principle for the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations. This further strengthens the applicability of the entropy viscosity method as a stabilization technique for radiationhydrodynamic shock simulations. Radiative shock calculations using constant and temperaturedependent opacities are compared against semianalytical reference solutions, and we present a procedure to perform spatial convergence studies of such simulations.
 Authors:

^{[1]};
^{[1]}
;
^{[2]}
 Texas A & M Univ., College Station, TX (United States). Dept. of Nuclear Engineering
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1628890
Journal ID: ISSN 02712091
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 International Journal for Numerical Methods in Fluids
 Additional Journal Information:
 Journal Volume: 85; Journal Issue: 1; Journal ID: ISSN 02712091
 Publisher:
 Wiley
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; radiationhydrodynamics; artificial viscosity; entropy viscosity method; viscous stabilization; semianalytical solution; convergence study
 OSTI Identifier:
 1417808
Delchini, Marc O., Ragusa, Jean C., and Ferguson, Jim. Viscous regularization of the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations. United States: N. p.,
Web. doi:10.1002/fld.4371.
Delchini, Marc O., Ragusa, Jean C., & Ferguson, Jim. Viscous regularization of the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations. United States. doi:10.1002/fld.4371.
Delchini, Marc O., Ragusa, Jean C., and Ferguson, Jim. 2017.
"Viscous regularization of the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations". United States.
doi:10.1002/fld.4371. https://www.osti.gov/servlets/purl/1417808.
@article{osti_1417808,
title = {Viscous regularization of the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations},
author = {Delchini, Marc O. and Ragusa, Jean C. and Ferguson, Jim},
abstractNote = {A viscous regularization technique, based on the local entropy residual, was proposed by Delchini et al. (2015) to stabilize the nonequilibriumdiffusion Grey RadiationHydrodynamic equations using an artificial viscosity technique. This viscous regularization is modulated by the local entropy production and is consistent with the entropy minimum principle. However, Delchini et al. (2015) only based their work on the hyperbolic parts of the Grey RadiationHydrodynamic equations and thus omitted the relaxation and diffusion terms present in the material energy and radiation energy equations. Here in this paper, we extend the theoretical grounds for the method and derive an entropy minimum principle for the full set of nonequilibriumdiffusion Grey RadiationHydrodynamic equations. This further strengthens the applicability of the entropy viscosity method as a stabilization technique for radiationhydrodynamic shock simulations. Radiative shock calculations using constant and temperaturedependent opacities are compared against semianalytical reference solutions, and we present a procedure to perform spatial convergence studies of such simulations.},
doi = {10.1002/fld.4371},
journal = {International Journal for Numerical Methods in Fluids},
number = 1,
volume = 85,
place = {United States},
year = {2017},
month = {2}
}