On Levermore diffusion theory.

Details On Levermore diffusion theory. On Levermore diffusion theory.

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jqsrt..36..325p&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 36, issue 4, pp. 325-337

Physics

5

Radiative Transfer:Diffusion

Scientific paper

Two aspects of the Levermore flux-limited diffusion description of radiative transfer are considered. First, the accuracy of the Levermore diffusion equation in the boundary layer of the classical Milne problem is investigated. This is done by making a modification to the diffusion equation, which ensures that the modified equation is exact for this Milne problem. The correction turns out to be quite small, suggesting that Levermore's original diffusion equation is probably reasonably accurate in boundary layers associated with vacuum (no incident flux) boundaries. Secondly, a general boundary condition for the Levermore diffusion equation is derived, which assures exact asymptotic transport theory results in the case of a single asymptotic mode. It is only for this class of problem that Levermore diffusion theory has the capability of being exact, and with this boundary condition this capability is fulfilled.

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