An asymptotic-preserving method for the three-temperature radiative transfer model
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929259473272832 |
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| author | Li, Ruo Li, Weiming Liang, Shengtong Shao, Yuehan Tang, Min Wang, Yanli |
| author_facet | Li, Ruo Li, Weiming Liang, Shengtong Shao, Yuehan Tang, Min Wang, Yanli |
| contents | We present an asymptotic-preserving (AP) numerical method for solving the three-temperature radiative transfer model, which holds significant importance in inertial confinement fusion. A carefully designedsplitting method is developed that can provide a general framework of extending AP schemes for the gray radiative transport equation to the more complex three-temperature radiative transfer model. The proposed scheme captures two important limiting models: the three-temperature radiation diffusion equation (3TRDE) when opacity approaches infinity and the two-temperature limit when the ion-electron coupling coefficient goes to infinity. We have rigorously demonstrated the AP property and energy conservation characteristics of the proposed scheme and its efficiency has been validated through a series of benchmark tests in the numerical part. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An asymptotic-preserving method for the three-temperature radiative transfer model Li, Ruo Li, Weiming Liang, Shengtong Shao, Yuehan Tang, Min Wang, Yanli Numerical Analysis Mathematical Physics We present an asymptotic-preserving (AP) numerical method for solving the three-temperature radiative transfer model, which holds significant importance in inertial confinement fusion. A carefully designedsplitting method is developed that can provide a general framework of extending AP schemes for the gray radiative transport equation to the more complex three-temperature radiative transfer model. The proposed scheme captures two important limiting models: the three-temperature radiation diffusion equation (3TRDE) when opacity approaches infinity and the two-temperature limit when the ion-electron coupling coefficient goes to infinity. We have rigorously demonstrated the AP property and energy conservation characteristics of the proposed scheme and its efficiency has been validated through a series of benchmark tests in the numerical part. |
| title | An asymptotic-preserving method for the three-temperature radiative transfer model |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2402.19191 |