A Multigrid Acceleration Method for the One-Dimensional SN Equations with Anisotropic Scattering Academic Article uri icon

abstract

  • A multigrid acceleration scheme for the one-dimensional slab geometry SN equations with anisotropic scattering and linear discontinuous spatial differencing is developed. The high-frequency relaxation iteration consists of three steps: a standard source iteration, independent two-cell block inversions centered about each spatial cell edge, and an averaging of the iterates from the previous two steps. Because the linear discontinuous differencing scheme is a finite element method, fine-to-coarse projection and coarse-to-fine interpolation are straightforward.

author list (cited authors)

  • Barnett, A., Morel, J. E., & Harris, D. R.

citation count

  • 7

publication date

  • May 1989