Diffusion-Accelerated Solution of the Two-Dimensional X-Y Sn Equations with Linear-Bilinear Nodal Differencing Academic Article uri icon

abstract

  • Recently, a new diffusion synthetic acceleration scheme was developed for solving the two-dimensional Snequations in x-y geometry with bilinear-discontinuous finite element spatial discretization, by using a bilinear-discontinuous diffusion differencing scheme for the diffusion acceleration equations. This method differed from previous methods in that it is unconditionally efficient for problems with isotropic or nearly isotropic scattering. Here, the same bilinear-discontinuous diffusion differencing scheme, and associated multilevel solution technique, is used to accelerate the x-y geometry Snequations with linear-bilinear nodal spatial differencing. It is found that for problems with isotropic or nearly isotropic scattering, this leads to an unconditionally efficient solution method. Computational results are given that demonstrate this property.

author list (cited authors)

  • Wareing, T. A., Walters, W. F., & Morel, J. E.

citation count

  • 4

publication date

  • October 1994