Nuclear Science and Engineering / Volume 107 / Number 3 / March 1991 / Pages 217-227
Technical Paper / dx.doi.org/10.13182/NSE91-A23786
Articles are hosted by Taylor and Francis Online.
The diffusion synthetic acceleration (DSA) algorithm effectively accelerates the iterative solution of transport problems with isotropic or mildly anisotropic scattering. However, DSA loses its effectiveness for transport problems that have strongly anisotropic scattering. Two generalizations of DSA are proposed, which, for highly anisotropic scattering problems, converge at least an order of magnitude (clock time) faster than the DSA method. These two methods are developed, the results of Fourier analyses that theoretically predict their efficiency are described, and numerical results that verify the theoretical predictions are presented.