A NONLINEAR MOMENT MODEL FOR RADIATIVE TRANSFER EQUATION

被引：1
|
作者：
Li, Ruo [1 ,2 ]
Song, Peng [3 ]
Zheng, Lingchao [2 ]
机构：
[1] Peking Univ, CAPT, LMAM, Beijing, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing, Peoples R China
[3] Inst Appl Phys & Computat Math, Beijing, Peoples R China
来源：
MULTISCALE MODELING & SIMULATION | 2021年 / 19卷 / 03期
关键词：
radiative transfer equation; moment model; nonlinear model; global hyperbolicity; GLOBALLY HYPERBOLIC REGULARIZATION; RIEMANN SOLVERS; TRANSPORT; TIME; CLOSURE; REDUCTION; SCHEME;
D O I：
10.1137/20M1341155
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive a nonlinear moment model for the radiative transfer equation in three-dimensional (3D) space, using the method to derive the nonlinear moment model for the radiative transfer equation in slab geometry [Y. Fan, R. Li, and L. Zheng, J. Comput. Phys., 404 (2020), 109128; Y. Fan, R. Li, and L. Zheng, SIAM J. Appl. Math., 80 (2020), pp. 2388-2419]. The resulting 3D HM P-N model enjoys a list of mathematical advantages, including global hyperbolicity, rotational invariance, physical wave speeds, and correct higher-order Eddington approximation. Simulation examples are presented to validate the new model numerically.
引用
收藏
页码：1425 / 1452
页数：28
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