An asymptotic preserving relaxation scheme for a moment model of radiative transfer

被引：9
|
作者：
Berthon, Christophe
Charrier, Pierre
Dubroca, Bruno
机构：
[1] Univ Bordeaux 1, MAB, UMR 5466, LRC M03, F-33400 Talence, France
[2] INRIA Futurs, Projet ScAlApplix, Domaine Voluceau Rocquencourt, F-78153 Le Chesnay, France
[3] Univ Bordeaux 1, CELIA, F-33400 Talence, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2007年 / 344卷 / 07期
关键词：
D O I：
10.1016/j.crma.2007.02.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new relaxation scheme is exhibited to approximate the weak solutions of the M-1 model to simulate radiative transfer. This numerical method uses better wavespeed approximations than the current schemes. In addition, it is proved to satisfy all the required stability properties and the asymptotic preserving property.
引用
收藏
页码：467 / 472
页数：6
相关论文
共 50 条
  • [11] An asymptotic preserving angular finite element based unified gas kinetic scheme for gray radiative transfer equations
    Xu, Xiaojing
    Sun, Wenjun
    Jiang, Song
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2020, 243 (243):
  • [12] An Asymptotic-Preserving IMEX Method for Nonlinear Radiative Transfer Equation
    Jinxue Fu
    Weiming Li
    Peng Song
    Yanli Wang
    Journal of Scientific Computing, 2022, 92
  • [13] A NONLINEAR MOMENT MODEL FOR RADIATIVE TRANSFER EQUATION
    Li, Ruo
    Song, Peng
    Zheng, Lingchao
    MULTISCALE MODELING & SIMULATION, 2021, 19 (03): : 1425 - 1452
  • [14] An Asymptotic-Preserving IMEX Method for Nonlinear Radiative Transfer Equation
    Fu, Jinxue
    Li, Weiming
    Song, Peng
    Wang, Yanli
    JOURNAL OF SCIENTIFIC COMPUTING, 2022, 92 (01)
  • [15] An efficient asymptotic preserving Monte Carlo method for radiative transfer equations
    Shi, Yi
    Song, Peng
    Xiong, Tao
    JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 493
  • [16] High order asymptotic preserving discontinuous Galerkin methods for radiative transfer
    Xiong, Tao
    Sun, Wenjun
    Shi, Yi
    Song, Peng
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 463
  • [17] An asymptotic preserving unified gas kinetic particle method for a three-temperature radiative transfer model
    Gao, Min
    Shi, Yi
    PHYSICS OF FLUIDS, 2025, 37 (03)
  • [18] Macroscopic Auxiliary Asymptotic Preserving Neural Networks for the Linear Radiative Transfer Equations
    Hongyan Li
    Song Jiang
    Wenjun Sun
    Liwei Xu
    Guanyu Zhou
    Journal of Scientific Computing, 2025, 103 (3)
  • [19] A positive and asymptotic preserving filtered PN method for the gray radiative transfer equations
    Xu, Xiaojing
    Jiang, Song
    Sun, Wenjun
    JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 444
  • [20] An asymptotic preserving unified gas kinetic particle method for radiative transfer equations
    Shi, Yi
    Song, Peng
    Sun, WenJun
    JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 420 (420)
12345