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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
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| Cite this article: |
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ZHANG Rong-Pei, YU Xi-Jun, ZHU Jiang 2012 Chin. Phys. Lett. 29 110201 |
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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.
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Received: 07 June 2012
Published: 28 November 2012
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| PACS: |
02.70.Dh
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(Finite-element and Galerkin methods)
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44.40.+a
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(Thermal radiation)
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