Dynamic Flux Synthesis with Discontinuous Trial Functions

Abstract

A method has been developed that allows the use of precalculated dynamic flux shapes as trial functions for the solution of the space-dependent kinetics equation. The basis of the method is that, for the type of transients encountered in CANDU design and safety analysis, the delayed neutron source that arises from precursors that are formed during the transient has a negligible effect on the shaping of the dynamic flux. This allows a single set of available flux shapes to be used in solving a wide variety of problems. The accuracy of the method is demonstrated by a comparison with finite difference solutions.