Flux-limiting in stochastic transport

Details Flux-limiting in stochastic transport Flux-limiting in stochastic transport

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..46..237s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 46, Oct. 1991, p. 237-249. Research supported

Physics

5

Diffusion Theory, Markov Processes, Particle Motion, Radiative Transfer, Stochastic Processes, Transport Theory, Anisotropy, Boundary Conditions, Chandrasekhar Equation, Diffusion Coefficient

Scientific paper

Generic particle transport, with radiative transfer as a special case, in a Markovian mixture of two immiscible fluids is considered. A recently proposed model for the ensemble-averaged intensity consists of two coupled transport equations. The formalism which leads to a flux-limited diffusion approximation to this model in the form of two coupled diffusion equations is developed. Such a flux-limiting diffusion description has proved extremely useful in the nonstochastic particle-transport setting. Numerical results are given for one-dimensional problems.

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