An asymptotic-preserving method for the three-temperature radiative transfer model
<|reference_start|>An asymptotic-preserving method for the three-temperature radiative transfer model: 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.<|reference_end|>
@article{li2024an,
    title={An asymptotic-preserving method for the three-temperature radiative
  transfer model},
    author={Ruo Li, Weiming Li, Shengtong Liang, Yuehan Shao, Min Tang, Yanli Wang},
    journal={arXiv preprint arXiv:2402.19191},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.19191},
    primaryClass={math.NA cs.NA math-ph math.MP}
}