Adaptive Finite Element Simulation of the Time-dependent Simplified P N Equations

被引：1
作者：
Frank, Martin [1 ]
Lang, Jens [2 ]
Schafer, Matthias [3 ]
机构：
[1] Rhein Westfal TH Aachen, Ctr Computat Engn Sci, D-52062 Aachen, Germany
[2] Tech Univ Darmstadt, DFG Grad Sch Excellence Computat Engn, DFG Excellence Cluster Smart Interfaces, D-64293 Darmstadt, Germany
[3] Fraunhofer ITWM, D-67663 Kaiserslautern, Germany
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2011年 / 49卷 / 03期
关键词：
Radiative transfer; Finite elements; Adaptivity; RADIATIVE HEAT-TRANSFER; APPROXIMATIONS;
D O I：
10.1007/s10915-011-9466-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The steady-state simplified P (N) approximation to the radiative transfer equation has been successfully applied to many problems involving radiation. Recently, time-dependent simplified P (N) equations have been derived by an asymptotic analysis similar to the asymptotic derivation of the steady-state SP (N) equations (Frank et al. in J. Comput. Phys. 226:2289-2305, 2007). In this paper, we present computational results for the time-dependent SP (N) equations in two dimensions, obtained by using an adaptive finite element approach. Several numerical comparisons with other existing models are shown.
引用
收藏
页码：332 / 350
页数：19
相关论文
共 50 条
12345