An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation

Autor: Fu, Jinxue, Cheng, Juan, Li, Weiming, Xiong, Tao, Wang, Yanli
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv