Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations
Abstract
The steady-state simplified PN approximation to the radiative transport equation has been successfully applied to many problems involving radiation. Recently, time-dependent simplified PN equations have been derived by an asymptotic analysis similar to the asymptotic derivation of the steady-state SPN equations FraKlaLarYas07. In this paper, we present computational results for the time-dependent SPN equations in two dimensions, obtained by using an adaptive finite element approach. Several numerical comparisons with other existing models are shown.
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