Implicit filtered P_N for high-energy density thermal radiation transport using discontinuous Galerkin finite elements

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• 作者：Vincent M. Laboure^c ; ^{vincent.laboure@tamu.edu" class="auth_mail" title="E-mail the corresponding author} ; Ryan G. McClarren^c ; ^{rgm@tamu.edu" class="auth_mail" title="E-mail the corresponding author} ; Cory D. Hauck^a ; ^b ; ^{hauckc@ornl.gov" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Radiation transport ; Thermal radiative transfer ; Spherical harmonics ; Spectral filtering ; Fully implicit methods ; Discontinuous Galerkin
• 刊名：Journal of Computational Physics
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：321
• 期：Complete
• 页码：624-643
• 全文大小：2540 K

文摘

In this work, we provide a fully-implicit implementation of the time-dependent, filtered spherical harmonics (FP_N) 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.