Abstract
The simulation of radiation transport in the optically thick flux-limited diffusion regime is one of the most time-consuming tasks within large multiphysics simulation codes. Due to multimaterial complex geometry, the radiation transport system must often be solved on unstructured grids. This paper investigates the behavior and the benefits of the unstructured P1 nonconforming finite element multigrid method, which has proven to be flexible and effective on related transport, in solving unsteady implicit nonlinear radiation diffusion problems utilizing Newton and Picard linearization methods. We use the covolume-based intergrid transfer operators to get coarse level approximations of solution, which are used for computing coarse level operators in a multigrid method. We also study the efficiency of inexact Newton methods compared with standard Newton and Picard methods.
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