Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations - Physics > Computational PhysicsReport as inadecuate




Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations - Physics > Computational Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: The steady-state simplified $P N$ approximation to the radiative transportequation has been successfully applied to many problems involving radiation.Recently, time-dependent simplified $P N$ equations have been derived by anasymptotic analysis similar to the asymptotic derivation of the steady-state$SP N$ equations \cite{FraKlaLarYas07}. In this paper, we present computationalresults for the time-dependent $SP N$ equations in two dimensions, obtained byusing an adaptive finite element approach. Several numerical comparisons withother existing models are shown.



Author: Martin Frank, Jens Lang, Matthias Schaefer

Source: https://arxiv.org/







Related documents