Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3199006.pdf (12MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Application of Lie Groups to Discretizing Nuclear Engineering Problems
Author(s):Grove, Travis Justin
Doctoral Committee Chair(s):Axford, Roy A.
Department / Program:Nuclear Engineering
Discipline:Nuclear Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Engineering, Nuclear
Abstract:In addition, a method using groups of point transformations along with Noether's theorem is shown to generate a conservation law that can be used to create a two-term recurrence relation which calculates numerically exact Green's functions in one dimension for the time-independent neutron diffusion equation for Cartesian, cylindrical, and spherical geometries. This method will be expanded to constructing two-term recurrence relations for an arbitrary number of spatial regions, as well as detailing starting point values for type 2 and type 3 homogeneous endpoint boundary conditions. Finally, the method of constructing two-term recurrence relations will be applied to Green's function matrices for the one-dimensional time-independent neutron diffusion equation for Cartesian, cylindrical, and spherical geometries. In particular, two-term recurrence relations for the off-diagonal elements of the Green's function matrices will be derived, and the method is adapted to take into account discontinuities in the value of a function.
Issue Date:2005
Type:Text
Language:English
Description:527 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.
URI:http://hdl.handle.net/2142/85903
Other Identifier(s):(MiAaPQ)AAI3199006
Date Available in IDEALS:2015-09-28
Date Deposited:2005


This item appears in the following Collection(s)

Item Statistics