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Title: Some numerical methods for solving the neutron transport equation
Author: Budd, C.
Awarding Body: University of London
Current Institution: Imperial College London
Date of Award: 1983
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In this project we have developed and studied various new numerical approaches to solving the neutron transport equation. In addition, we have conducted a review of established numerical transport methods. The work may conveniently be divided into three parts - the review of existing methods, the development of a new method (the WUNDEE method) for one - dimensional geometries,and preliminary investigations of some approaches to multi - dimensional problems. The review work is discussed in an early part of the thesis, and also in an associated UKAEA report. Next, the WUNDEE method is presented. This is a tranport method for one - dimensional problems which attempts to parallel diffusion theory to a large extent, but without making the approximations of diffusion theory. The merits of this approach are discussed in the thesis, and we give some numerical results which indicate that the method has considerable potential. Next, we discuss some possible approaches to solving the transport equation in two and three dimensions. We give some preliminary results from a 'buckling iteration' technique that might (ultimately) be used to extend the WUNDEE method to multi-- dimensional geometries. Finally, we discuss several possible future developments of this work.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available