Graduate Thesis Or Dissertation
 

One and two dimensional space-energy flux synthesis with spatially discontinuous trial functions

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  • The development of nuclear reactors as an energy source requires a substantial investment in capital and effort. This development depends heavily on accurate calculational methods. Space-energy flux synthesis, also variously called the spectral synthesis method, modal method, and overlapping group method, is one possible method. In this method the energy dependent flux is approximated by a superposition of energy trial functions (spectra). This thesis examines the use of this expansion in the context of diffusion theory. One and two dimensional diffusion theory codes have been written to accommodate a very general formulation of the spectral synthesis method. These codes use simultaneous solution methods to eliminate many of the convergence problems previously encountered with overlapping groups, while allowing a wide choice of interface conditions. Numerical experiments using these codes compare various choices of trial functions and types of weighting. A major portion of the investigation concerns the use of different sets of trial functions in different regions (spatially discontinuous trial functions). Particular attention is accorded to trial function and material interface conditions. Results favor conditions which preserve energy integrals of flux and current at interfaces.
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