Viscous regularization of the full set of nonequilibrium-diffusion Grey Radiation-Hydrodynamic equations Academic Article uri icon

abstract

  • SummaryA 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, 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. Copyright 2017 John Wiley & Sons, Ltd.

published proceedings

  • INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

altmetric score

  • 1.6

author list (cited authors)

  • Delchini, M. O., Ragusa, J. C., & Ferguson, J.

citation count

  • 2

complete list of authors

  • Delchini, Marc O||Ragusa, Jean C||Ferguson, Jim

publication date

  • September 2017

publisher