Non-Linear Spatial Multigrid Method For Non-Linear S2 Acceleration
Abstract
A nonlinear spatial multigrid algorithm was developed and explored as a technique to efficiently
solve the nonlinear S2 acceleration equations for SN neutron transport calculations in 1-D
slabs. Acceleration of the basic source iteration process in SN calculations is necessary in problems
with highly diffusive regions. Direct inversion would be a more efficient method in 1-D, but a
multigrid method has the potential to be far more efficient than other techniques in 2-D. This work
is a first step toward a 2-D multigrid algorithm. The computational results show that this scheme
works well for optically-thin cells on the fine mesh, but degrades significantly for optically-thick
cells on the fine mesh.
Citation
Kliewer, John David (2018). Non-Linear Spatial Multigrid Method For Non-Linear S2 Acceleration. Master's thesis, Texas A & M University. Available electronically from https : / /hdl .handle .net /1969 .1 /173382.