Statistics – Computation
Scientific paper
Mar 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jqsrt..64..619o&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 64, No. 6, p. 619 - 634
Statistics
Computation
26
Radiative Transfer: Numerical Methods
Scientific paper
Full transport solutions of time-dependent problems can be computationally very expensive. Therefore, considerable effort has been devoted to developing approximate solution techniques that are much faster computationally and yet are accurate enough for a particular application. Many of these approximate solutions have been used in isolated problems and have not been compared to each other. This paper presents two test problems that test and compare several approximate transport techniques. In addition to the diffusion and P1 approximations, the authors test several different flux-limited diffusion theories and variable Eddington factor closures. For completeness, they show some variations that have not yet appeared in the literature that have some interesting consequences. For example, the authors have found a trivial way to modify the P1 equations to get the correct propagation velocity of a radiation front in the optically thin limit without modifying the accuracy of the solution in the optically thick limit. Also, the authors demonstrate nonphysical behavior in some published techniques.
Auer Lawrence H.
Hall Leo M.
Olson Gordon L.
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