Iterative performance of various formulations of the SPN equations

  • Authors:

  • Yunhuang Zhang;Jean C. Ragusa;Jim E. Morel

  • Affiliations:

  • -;-;-

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2013

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Abstract

In this paper, the Standard, Composite, and Canonical forms of the Simplified P"N (SP"N) equations are reviewed and their corresponding iterative properties are compared. The Gauss-Seidel (FLIP), Explicit, and preconditioned Source Iteration iterative schemes have been analyzed for both isotropic and highly anisotropic (Fokker-Planck) scattering. The iterative performance of the various SP"N forms is assessed using Fourier analysis, corroborated with numerical experiments.