Flux-limited diffusion in hydrodynamics

Details Flux-limited diffusion in hydrodynamics Flux-limited diffusion in hydrodynamics

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...398..531c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 398, no. 2, p. 531-543.

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5

Diffusion, Hydrodynamic Equations, Radiative Transfer, Stellar Evolution, Supernovae, Eddington Approximation, Neutrinos, Shock Waves, Transport Properties

Scientific paper

The radiation transport equation, correct to order v/c, is used to derive a flux limiter valid in high-velocity hydrodynamic flows. In the limit v = 0 the widely used result of Levermore and Pomraning (LP) (1982) is recovered. In the case of homologous flow (v varies as R) the LP result remains valid, but in the presence of shock waves and other nonhomologous flows differences may be large. We calculate the Eddington factors, which are significantly altered, and discuss the importance of having them possess the correct form in the presence of a shock wave, e.g., on the neutrino transport during the formation of a supernova.

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