Asymptotic-Preserving \& Well-Balanced schemes for radiative transfer and the Rosseland approximation (Articolo in rivista)

Type
Label
  • Asymptotic-Preserving \& Well-Balanced schemes for radiative transfer and the Rosseland approximation (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00211-004-0533-x (literal)
Alternative label
  • Gosse L.; Toscani G. (2004)
    Asymptotic-Preserving \& Well-Balanced schemes for radiative transfer and the Rosseland approximation
    in Numerische Mathematik; SPRINGER-VERLAG, WIEN (Austria)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Gosse L.; Toscani G. (literal)
Pagina inizio
  • 223 (literal)
Pagina fine
  • 250 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 98 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di matematica, Universita di Pavia, via Ferrata 1, 27100 Pavia, Italy (literal)
Titolo
  • Asymptotic-Preserving \& Well-Balanced schemes for radiative transfer and the Rosseland approximation (literal)
Abstract
  • We are concerned with efficient numerical simulation of the radiative transfer equations. To this end, we follow theWell-Balanced approach's canvas and reformulate the relaxation term as a nonconservative product regularized by steady-state curves while keeping the velocity variable continuous. These steady-state equations are of Fredholm type. The resulting upwind schemes are proved to be stable under a reasonable parabolic CFL condition of the type Dt <= O(Dx^2) among other desirable properties. Some numerical results demonstrate the realizability and the efficiency of this process. (literal)
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