Abstract

AbstractWe are interested in the study of numerical schemes for the homogeneous in space asymptotic limit in the non equilibrium regime of the relativistic transfer equation. This limit leads to a frequency drift term modeling the Doppler effects for photons, and our aim is to design costless well-balanced schemes. One difficulty is that wave speed may vanish, which implies that standard well-balanced schemes constructed by discretizing the source term at the interfaces and by using a Godunov scheme may become inconsistent in this limit. This is indeed observed numerically.KeywordsRelativistic Transfer EquationWell-balanced SchemeGodunov SchemeEquilibrium RegimePhoton Transport ModelThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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