Time-dependent diffusion and transport calculations using a finite-element-spherical harmonics method


ATALAY E. D. , Katsimichas S., de Oliveira C.

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, cilt.95, ss.349-363, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 95 Konu: 3
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.jqsrt.2004.11.003
  • Dergi Adı: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
  • Sayfa Sayıları: ss.349-363

Özet

In this paper, the finite-element-spherical harmonics (FE-P-N) method is applied to the solution of transient Boltzmann transport equation. Firstly, transport and diffusion calculations are obtained for homogeneous and inhomogeneous circular regions. Results are compared in order to show the effects of different absorption coefficient values on the propagation of photons. Significant differences between two theories are shown to occur especially in cases when the absorption is increased. Secondly, to validate the FE-P-N method, results from this method are compared with Monte Carlo calculations for different cases. Comparisons show good agreements between FE-transport and Monte Carlo solutions and demonstrate the correctness of the results obtained. (c) 2005 Elsevier Ltd. All rights reserved.