2019/07/30 by Patel, Japan K., Warsa, James S., Prinja, Anil K.
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.1907.13013
The discrete ordinates method can model forward-peaked transport problems accurately. However, convergence of discrete ordinates solution can become arbitrarily slow upon use of standard iterative procedures like source iteration and GMRES. Standard zeroth and first moment-based acceleration methods like nonlinear diffusion acceleration and diffusion synthetic acceleration are ineffective in accelerating such problems because these methods do not correct higher order Legendre-moments of angular flux. We explore the idea of using Fokker-Planck as a preconditioner to accelerate forward-peaked transport problems in this paper.