Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6929804 | Journal of Computational Physics | 2016 | 34 Pages |
Abstract
In this work, we provide a fully-implicit implementation of the time-dependent, filtered spherical harmonics (FPN) equations for non-linear, thermal radiative transfer. We investigate local filtering strategies and analyze the effect of the filter on the conditioning of the system, showing in particular that the filter improves the convergence properties of the iterative solver. We also investigate numerically the rigorous error estimates derived in the linear setting, to determine whether they hold also for the non-linear case. Finally, we simulate a standard test problem on an unstructured mesh and make comparisons with implicit Monte Carlo (IMC) calculations.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Vincent M. Laboure, Ryan G. McClarren, Cory D. Hauck,