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Published in:
2006 | OriginalPaper | Chapter
Implicit Solution of Non-Equilibrium Radiation Diffusion Including Reactive Heating Source in Material Energy Equation
Authors : Dana E. Shumaker, Carol S. Woodward
Published in: Computational Methods in Transport
Publisher: Springer Berlin Heidelberg
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In this paper, we investigate performance of a fully implicit formulation and solution method of a diffusion-reaction system modeling radiation diffusion with material energy transfer and a fusion fuel source. In certain parameter regimes this system can lead to a rapid conversion of potential energy into material energy. Accuracy in time integration is essential for a good solution since a major fraction of the fuel can be depleted in a very short time. Such systems arise in a number of application areas including evolution of a star [1] and inertial confinement fusion [2].