Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...273..338d&link_type=abstract
Astronomy and Astrophysics, Vol. 273, p. 338 (1993)
Astronomy and Astrophysics
Astrophysics
1
Supernovae, Neutrinos, Hydrodynamics
Scientific paper
We propose a simple way for deriving a flux limiter valid in high velocity hydrodynamic flows. Following the work of Cooperstein & Baron (1992) (CB) we use for the derivation the radiative transport equation valid to first order in v/c. CB used 2 parameters to represent the angular distribution function: the Levermore-Pomraning (LP) parameter valid for stationary matter situations, and a separate, additional parameter representing the hydrodynamical effects. We, instead, use the generalized treatment developed by Janka (1990, 1991a, 1991b) for the stationary matter case, and modify the LP parameter with a term `dynamic artificial opacity' which acts like a non physical opacity. This `dynamic opacity' represents the effects of relative velocities within the star on the radiation angular distribution function. The `dynamic artificial opacity' term allows to eliminate the error in the momentum balance between the moving matter and the radiation associated with the flux limited diffusion schemes.
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