Year
1973
Degree Name
Doctor of Philosophy
Department
School of Mathematics
Recommended Citation
Pollard, John P., Numerical methods used in neutronics calculations, Doctor of Philosophy thesis, School of Mathematics, University of Wollongong, 1973. https://ro.uow.edu.au/theses/2934
Abstract
An earlier submission (Pollard 1966 - M.Sc. thesis) considered neutron interactions in a homogeneous space independent reactor system and studied the influence of long time variations (burnup over years) on the interactions. Here we are concerned with neutron interactions in a multiregion reactor, essentially represented by two space dimensions, and we will study the influence of short time variations (kinetics over seconds) on the interactions. The present work concerns numerical solution of the neutron diffusion equation using well proven methods but includes methods for (1) speedy estimation of extrapolation parameters and (2) rebalance to enhance convergence. Under (1) re-estimation of parameters is possible using preoptimum estimates for the parameters and (2) features of the Sokolov method are studied.
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.