Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..59..261b&link_type=abstract
Astrophysics and Space Science, vol. 59, no. 2, Dec. 1978, p. 261-284.
Astronomy and Astrophysics
Astrophysics
10
Neutrinos, Particle Diffusion, Stellar Models, Supernovae, Transport Properties, Boltzmann Transport Equation, Diffusion Coefficient, Legendre Functions, Scattering Functions, Shock Discontinuity
Scientific paper
A multigroup diffusion scheme is derived from the Boltzmann equation for efficient numerical computation of neutrino transport in a collapsing stellar core. This scheme treats all neutrino-scattering processes correctly with a Legendre expansion of the scattering rates. Modifications of the diffusion coefficient and the addition of a flux limiter extend the applicability of the scheme to neutrino-transparent regimes and improve the agreement of the solution in both opaque and transparent regimes with those obtained analytically for some test problems. In addition, a more accurate treatment of the neutrino flow across shock discontinuities is developed through a shock-matching condition. The solutions given by this multigroup flux-limited diffusion scheme are compared with those of a modified SN code.
Bruenn Stephen W.
Buchler Jean-Robert
Yueh W. R.
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