@Article{CiCP-38-317,
author = {Li , QiJiang , Song and Sun , Wenjun},
title = {A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {2},
pages = {317--347},
abstract = {<p style="text-align: justify;">The aim of this paper is to propose an asymptotic preserving numerical
scheme for the three-temperature radiative transfer equations, which couple the radiative transfer equation with the electron and ion diffusive equations. The $H^T_N$ method
is used for angular discretization, and the unified gas kinetic scheme (UGKS) is used
for spatial discretization to obtain the asymptotic preserving property of the proposed
scheme. Since it includes the electron-ion heat conduction, radiation-electron coupling
and electron-ion coupling terms, the three-temperature model exhibits strong nonlinearity and strong coupling properties. By carefully dealing with these coupling terms
implicitly and using an iteration method to solve the electron-ion diffusive system, we
can adapt the $H^T_N$-based UGKS method for the grey radiative transfer equations to deal
with this complex model. According to the asymptotic preserving property of the proposed scheme, it is not necessary in optically thick regimes to restrict the spatial step
size smaller than the photon mean free path in order to approximate the solution of
the three-temperature, two-temperature, and single-temperature diffusion limit equations under difference circumstances. The robustness and effectiveness of the current
scheme are verified by several numerical experiments.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0209},
url = {http://global-sci.org/intro/article_detail/cicp/24300.html}
}