Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations
Abstract
A viscous regularization technique, based on the local entropy residual, was proposed by Delchini et al. (2015) to stabilize the nonequilibrium-diffusion Grey Radiation-Hydrodynamic 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 Radiation-Hydrodynamic 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 nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations. This further strengthens the applicability of the entropy viscosity method as a stabilization technique for radiation-hydrodynamic shock simulations. Radiative shock calculations using constant and temperature-dependent opacities are compared against semi-analytical reference solutions, and we present a procedure to perform spatial convergence studies of such simulations.
- Authors:
-
[1];
- 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:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1417808
- Report Number(s):
- LA-UR-16-28890
Journal ID: ISSN 0271-2091
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Fluids
- Additional Journal Information:
- Journal Volume: 85; Journal Issue: 1; Journal ID: ISSN 0271-2091
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; radiation-hydrodynamics; artificial viscosity; entropy viscosity method; viscous stabilization; semi-analytical solution; convergence study
Citation Formats
Delchini, Marc O., Ragusa, Jean C., and Ferguson, Jim. Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations. United States: N. p., 2017.
Web. doi:10.1002/fld.4371.
Delchini, Marc O., Ragusa, Jean C., & Ferguson, Jim. Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations. United States. https://doi.org/10.1002/fld.4371
Delchini, Marc O., Ragusa, Jean C., and Ferguson, Jim. Fri .
"Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations". United States. https://doi.org/10.1002/fld.4371. https://www.osti.gov/servlets/purl/1417808.
@article{osti_1417808,
title = {Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic 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 nonequilibrium-diffusion Grey Radiation-Hydrodynamic 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 Radiation-Hydrodynamic 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 nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations. This further strengthens the applicability of the entropy viscosity method as a stabilization technique for radiation-hydrodynamic shock simulations. Radiative shock calculations using constant and temperature-dependent opacities are compared against semi-analytical 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 = {Fri Feb 17 00:00:00 EST 2017},
month = {Fri Feb 17 00:00:00 EST 2017}
}
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