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Stabilized grid-characteristic diagram for the system of transfer radiation equations
V. A. Gasilov, R. D. Moskalenko
Abstract:
Radiation transfer equations in the $P_{1^-}$ and diffusion approximations are modified by factors that correct the rate of radiation energy transfer. Numerical experiments have been carried out showing that such a correction can reduce the influence of nonphysical effects in calculations of radiant heat transfer in media with a nonuniform optical thickness. The improvement of the stability condition for explicit difference schemes for the corrected equations of the $P_{1}$ and diffusion models is substantiated theoretically and numerically. It is shown that in a difference grid it is permissible to take the steps in time and space in a less rigid relation than in an explicit scheme without regularization.
Keywords:
radiation transfer, $P_{1}$-approximation, diffusion approximation, grid-characteristic method.
Citation:
V. A. Gasilov, R. D. Moskalenko, “Stabilized grid-characteristic diagram for the system of transfer radiation equations”, Keldysh Institute preprints, 2023, 044, 26 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp3172 https://www.mathnet.ru/eng/ipmp/y2023/p44
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Abstract page: | 64 | Full-text PDF : | 22 | References: | 14 |
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