A Fission-Source Acceleration Technique for Time-Dependent Even-Parity Sn Calculations Academic Article uri icon

abstract

  • A synthetic scheme for accelerating the convergence of the fission source in time-dependent multigroup even-parity Sn calculations with downscatter is described. The low-order operator associated with this scheme is a one-group diffusion operator. Thus, this scheme can be thought of as a variant of diffusion synthetic acceleration. A Fourier analysis of this scheme is performed, which indicates that it is unconditionally effective for a spatially infinite model problem. Computational results are presented that show excellent performance of the method in three-dimensional calculations. Although this method is derived for the even-parity Sn equations, it can easily be generalized for application to the standard first-order Sn equations. The accelerated iteration equations for both the even-parity and first-order Sn equations are given, but only the even-parity algorithm is computationally tested.

author list (cited authors)

  • Morel, J. E., & McGhee, J. M.

citation count

  • 12

publication date

  • February 1994