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Adaptive finite element simulation of the time-dependent simplified PN equations

: Frank, M.; Lang, J.; Schäfer, M.


SIAM journal on scientific computing 49 (2011), No.3, pp.332-350
ISSN: 0196-5204
ISSN: 1064-8275
ISSN: 0885-7474
Journal Article
Fraunhofer ITWM ()

The steady-state simplified PN approximation to the radiative transfer 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 (Frank et al. in J. Comput. Phys. 226:2289-2305, 2007). 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.