Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations

被引：0
|
作者：
Guermond, Jean-Luc [1 ]
Wang, Zuodong [2 ,3 ]
机构：
[1] Texas A&M Univ, Dept Math, 3368 TAMU, College Stn, TX 77843 USA
[2] Ecole Ponts, CERMICS, F-77455 Marne La Vallee 2, France
[3] Ctr Inria Paris, SERENA, 48 rue Barrault, F-75647 Paris, France
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2025年 / 521卷
基金：
美国国家科学基金会;
关键词：
Limiting; Advection equation; Radiation transport equation; Stiff sources; Conservation equations; Asymptotic preserving; Invariant domains; PRESERVING APPROXIMATION; SCHEME; REMAP; THICK;
D O I：
10.1016/j.jcp.2024.113531
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A limiting technique for scalar transport equations is presented. The originality of the method is that it does not require solving nonlinear optimization problems nor does it rely on the construction of a low-order approximation. The method has minimal complexity and is numerically demonstrated to maintain high-order accuracy. The performance of the method is illustrated on the radiation transport equation.
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页数：20
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