Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations

Martin Frank; Jens Lang; Matthias Schaefer

Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations

Computational Physics 2012-05-07 v1

Authors: Martin Frank , Jens Lang , Matthias Schaefer

Abstract

The steady-state simplified $P_N$ approximation to the radiative transport equation has been successfully applied to many problems involving radiation. Recently, time-dependent simplified $P_N$ equations have been derived by an asymptotic analysis similar to the asymptotic derivation of the steady-state $SP_N$ equations \cite{FraKlaLarYas07}. In this paper, we present computational results for the time-dependent $SP_N$ equations in two dimensions, obtained by using an adaptive finite element approach. Several numerical comparisons with other existing models are shown.

Keywords

simplified PN equations radiative transport time-dependent adaptive finite element method asymptotic analysis numerical simulation

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@article{arxiv.0902.0511,
  title  = {Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations},
  author = {Martin Frank and Jens Lang and Matthias Schaefer},
  journal= {arXiv preprint arXiv:0902.0511},
  year   = {2012}
}

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18 pages, 5 figures

Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations

Abstract

Keywords

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