An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917824040009728 |
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| author | Fu, Jinxue Cheng, Juan Li, Weiming Xiong, Tao Wang, Yanli |
| author_facet | Fu, Jinxue Cheng, Juan Li, Weiming Xiong, Tao Wang, Yanli |
| contents | An asymptotic-preserving (AP) implicit-explicit PN numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical schemes are discussed for both the linear and nonlinear models. The AP property of this numerical scheme is proved theoretically and numerically, while the numerical stability of the linear model is verified by Fourier analysis. Several classical benchmark examples are studied to validate the efficiency of this numerical scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation Fu, Jinxue Cheng, Juan Li, Weiming Xiong, Tao Wang, Yanli Numerical Analysis An asymptotic-preserving (AP) implicit-explicit PN numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical schemes are discussed for both the linear and nonlinear models. The AP property of this numerical scheme is proved theoretically and numerically, while the numerical stability of the linear model is verified by Fourier analysis. Several classical benchmark examples are studied to validate the efficiency of this numerical scheme. |
| title | An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2410.23650 |