Solution of Multimaterial Equilibrium Radiation Diffusion Problems by using the Discontinuous Galerkin Method
ZHANG Rong-Pei1**, YU Xi-Jun2, ZHU Jiang3
1School of Sciences, Liaoning Shihua University, Fushun 113001 2Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088 3Laboratório Nacional de Computa??o Científica, MCTI, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil
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.
2012, Vol. 29 
