Implicit Filtered PN for High-Energy Density Thermal Radiation Transport using Discontinuous Galerkin Finite Elements

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.

In this resubmission, the eigenspectrum study in the streaming limit was removed. The interested reader is invited to look at the original submission and/or to reference [48] of the resubmission

References in corpus (1)

• A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations

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