Stabilized Scheme for Calculating Radiation Transfer in the P1 Approximation

We consider interpolation-characteristic schemes approximating the radiative transfer equation corresponding to the $${{P}_{1}}$$ model. The model equations are modified by adjusting the rate of radiation energy transfer. This correction can reduce the influence of nonphysical effects in calculating radiative heat transfer in a medium with nonuniform opacity.

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Publication Details

Journal
Doklady Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1064562424601495
Citations
2
Primary Topic
Gas Dynamics and Kinetic Theory
Type
article
Field-Weighted Citation Impact
1.95
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article

Stabilized Scheme for Calculating Radiation Transfer in the P1 Approximation

В. А. Гасилов, O. G. Olkhovskaya, Б. Н. Четверушкин
2 citations
Doklady Mathematics
Gas Dynamics and Kinetic Theory
1.95
article

Stabilized Scheme for Calculating Radiation Transfer in the P1 Approximation

В. А. Гасилов, O. G. Olkhovskaya, Б. Н. Четверушкин
article en
2 citations

Abstract

We consider interpolation-characteristic schemes approximating the radiative transfer equation corresponding to the $${{P}_{1}}$$ model. The model equations are modified by adjusting the rate of radiation energy transfer. This correction can reduce the influence of nonphysical effects in calculating radiative heat transfer in a medium with nonuniform opacity.

Doklady MathematicsVol. 110(2)
Keldysh Institute of Applied Mathematics (RU)
Affordable and clean energy
Openalex Percentile: Top 13%
Gas Dynamics and Kinetic Theory
1.95
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