References
- Alldredge, G. W., Hauck, C. D., Tits, A. L. (2012). High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem. SIAM J. Sci. Comput. 34(4):B361–B391.
- Audit, E., Charrier, P., Chièze, J.-P., Dubroca, B. (2002). A radiation hydrodynamics scheme valid from the transport to the diffusion limit. preprint astro-ph 0206281.
- Berthon, C., Charrier, P., Dubroca, B. (2007). An asymptotic preserving relaxation scheme for a moment model of radiative transfer. C. R. Acad. Sci. Paris, Ser. I 344.
- Berthon, C., Charrier, P., Dubroca, B. (2007). An HLLC scheme to solve The M1 model of radiative transfer in two space dimensions. J. Sci. Comput. 31(3):347–389.
- Berthon, C., Turpault, R. (2011). Asymptotic preserving HLL schemes. Numer. Method. Partial Different. Equat. 27(6):1396–1422.
- Bouchut, F. (2004). Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources. Front. Math. Ser., Birkhauser.
- Charrier, P., Dubroca, B., Duffa, G., Turpault, R. (2003). Multigroup model for radiating flows during atmospheric hypersonic re-entry. Proceedings of International Workshop on Radiation of High Temperature Gases in Atmospheric Entry 2003, Lisbonne, Portugal, pp. 103–110.
- Dubroca, B., Feugeas, J.-L., Frank, M. (2010). Angular moment model for the Fokker-Planck equation. Eur. Phys. J. D 60:301.
- Dubroca, B., Feugeas, J. L. (1999). étude théorique et numérique d’une hiéarchie de modèles aux moments pour le transfert radiatif. C. R. Acad. Sci. Paris, t. 329, SCrie I, p. 915–920.
- Gosse, L., Toscani, G. (2003). Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes. SIAM J. Numer. Anal. 41(2):641–658.
- Grad, H. (1949). On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2:331–407.
- Groth, C. P. T., McDonald, J. G. (2009). Towards physically-realizable and hyperbolic moment closures for kinetic theory. Continuum Mech. Thermodyn. 21:467–493.
- Harten, A., Lax, P. D., Van Leer, B. (1983). On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25:35–61.
- Levermore, C. D. (1996). Moment closure hierarchies for kinetic theories. J. Stat. Phys. 83:1021–1065.
- Mallet, J., Brull, S., Dubroca, B. (2013). An entropic scheme for an angular moment model for the classical Fokker-Planck-Landeau equation of electrons. Comm. Comput. Phys. 15:422–450.
- Mallet, J., Brull, S., Dubroca, B. (2015). General moment system for plasma physics based on minimum entropy principle. Kin. Rel. Models 8(3):533–558.
- Minerbo, G. N. (1978). Maximum entropy eddigton factors. J. Quant. Spectrosc. Radiat. Transfer 20:541.
- Muller, I., Ruggeri, T. (1998). Rational Extended Thermodynamics. New York: Springer.
- Ripoll, J.-F. (2004). An averaged formulation of the M1 radiation model with presumed probability density function for turbulent flows. J. Quant. Spectrosc. Radiat. Trans. 83(34):493–517.
- Struchtrup, H. (2005). Macroscopic Transport Equations for Rarefied Gas Flows. Berlin: Springer.
- Turpault, R. (2005). A consistent multigroup model for radiative transfer and its underlying mean opacity. J. Quant. Spectrosc. Radiat. Transfer 94:357–371.