STABILIZED SCHEME FOR CALCULATING RADIATION TRANSFER IN THE 𝑃1 APPROXIMATION

We consider interpolation-characteristic scheme approximating approximation to the radiative transfer equations corresponding to the 𝑃1 model. The explicit finite-difference scheme is corrected by special term adjusting the rate of radiation energy transfer. Such correction can reduce the influence of non-physical effects when calculating radiative heat transfer in a medium with non-uniform opacity.

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Π”ΠΎΠΊΠ»Π°Π΄Ρ‹ Российской Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΠΈ Π½Π°ΡƒΠΊ ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ° ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠΊΠ° процСссы управлСния
Published
2024-12-15
DOI
https://doi.org/10.31857/s2686954324050024
Primary Topic
Radiative Heat Transfer Studies
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article
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article

STABILIZED SCHEME FOR CALCULATING RADIATION TRANSFER IN THE 𝑃1 APPROXIMATION

Π’. А. Гасилов, O. G. Olkhovskaya, Π‘. Н. Π§Π΅Ρ‚Π²Π΅Ρ€ΡƒΡˆΠΊΠΈΠ½
Π”ΠΎΠΊΠ»Π°Π΄Ρ‹ Российской Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΠΈ Π½Π°ΡƒΠΊ ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ° ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠΊΠ° процСссы управлСния
Radiative Heat Transfer Studies
article

STABILIZED SCHEME FOR CALCULATING RADIATION TRANSFER IN THE 𝑃1 APPROXIMATION

Π’. А. Гасилов, O. G. Olkhovskaya, Π‘. Н. Π§Π΅Ρ‚Π²Π΅Ρ€ΡƒΡˆΠΊΠΈΠ½
article en

Abstract

We consider interpolation-characteristic scheme approximating approximation to the radiative transfer equations corresponding to the 𝑃1 model. The explicit finite-difference scheme is corrected by special term adjusting the rate of radiation energy transfer. Such correction can reduce the influence of non-physical effects when calculating radiative heat transfer in a medium with non-uniform opacity.

Π”ΠΎΠΊΠ»Π°Π΄Ρ‹ Российской Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΠΈ Π½Π°ΡƒΠΊ ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ° ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠΊΠ° процСссы управлСнияVol. 519(1)
Keldysh Institute of Applied Mathematics (RU)
Affordable and clean energy
Openalex Percentile: Top 73%
Radiative Heat Transfer Studies
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