Solution of Multimaterial Equilibrium Radiation Diffusion Problems by using the Discontinuous Galerkin Method

¹School of Sciences, Liaoning Shihua University, Fushun 113001
²Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088
³Laboratório Nacional de Computação Científica, MCTI, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil

Received Date: June 06, 2012

Revised Date: October 28, 2012

Published Date: October 31, 2012

Abstract

The discontinuous Galerkin method is used for solving the two-dimensional equilibrium radiation diffusion equation. We construct the weighted interior penalty method based on the geometric average weight. The semi-implicit integration factor method is applied to the nonlinear ordinary differential equations obtained by the discontinuous Galerkin spatial discretization. Numerical results are presented to demonstrate the validity and reliability of using the discontinuous Galerkin method for solving the highly nonlinear radiation diffusion equation.

FullText(HTML)

[1]	Mousseau V A, Knoll D A and Rider W J 2000 J. Comput. Phys. 160 743 doi: 10.1006/jcph.2000.6488
[2]	Pomraning G C 1973 The Equations of Radiation Hydrodynamics (New York: Pergamon)
[3]	Li G, Deng L, Li S and Mo Z Y 2011 Acta Phys. Sin. 60 022401 (in Chinese)
[4]	Rider W, Knoll D A and Olson G L 1999 J. Comput. Phys. 152 164
[5]	Stals L 2003 Electron. Trans. Numer. Anal. 15 78
[6]	Ovtchinnikov S and Cai X C 2004 Numer. Lin. Alg. Appl. 11 867
[7]	Pernice M and Philip B 2006 SIAM J. Sci. Comput. 27 170
[8]	Cockburn B and Shu C W 2001 J. Sci. Comput. 160 173
[9]	Gassner G, L?rcher F and Munz C A 2007 J. Comput. Phys. 224 1049
[10]	Zhang R P, Yu X J and Feng T 2012 Chin. Phys. B 21 030202
[11]	Ober C C and Shadid J N 2004 J. Comput. Phys. 195 743
[12]	Knoll D A, Chacón L, Margolin L G and Mousseau V A 2003 J. Comput. Phys. 185 583
[13]	Chen S and Zhang Y 2011 J. Comput. Phys. 230 4336

Export File