Simplified PN approximations to the equations of radiative heat transfer and applications

  • Authors:

  • Edward W. Larsen;Guido Thömmes;Axel Klar;Mohammed Seaïd;Thomas Götz

  • Affiliations:

  • Department of Nuclear Engeneering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan;Department of Mathematics, Technical University of Darmstadt, 64289 Darmstadt, Germany;Department of Mathematics, Technical University of Darmstadt, 64289 Darmstadt, Germany;Department of Mathematics, Technical University of Darmstadt, 64289 Darmstadt, Germany;Department of Mathematics, University of Kaiserslautern, 63000 Kaiserslautern

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2002

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Abstract

Simplified PN (SPN) approximations to the equations of radiative heat transfer are derived for optically thick, diffusive systems, and appropriate boundary conditions are formulated. The SPN equations are derived by an asymptotic analysis, while the boundary conditions are obtained from a variational analysis. Numerical comparisons of the SPN, equilibrium diffusion, and full transport equations are presented to demonstrate the accuracy and efficiency of the SPN approximations.