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

页码：332 / 350

页数：19

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