Year: 2021
Author: Yaoli Fang
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 404–425
Abstract
In this paper, we study an implicit-explicit scheme for the radiation hydrodynamics in the equilibrium diffusion limit and in the grey nonequilibrium diffusion limit. We extend a popular Godunov-type method, the MUSCL-Hancock scheme, to the convective part of the radiation hydrodynamics, while a cell centered finite volume scheme is used for the radiative heat transfer. Moreover, the implicit-explicit scheme is easier to implement. Numerical simulations show the character of the radiative shock wave and the accuracy of the scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0275
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 404–425
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Radiation hydrodynamics MUSCL Hancock scheme cell centered finite volume scheme implicit-explicit scheme radiative shock.
Author Details
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On a class of robust bound-preserving MUSCL-Hancock schemes
Tong, Wei
Yan, Ruifang
Chen, Guoxian
Journal of Computational Physics, Vol. 474 (2023), Iss. P.111805
https://doi.org/10.1016/j.jcp.2022.111805 [Citations: 2]