Finite Element Solution of a Three-Dimensional Nonlinear Reactor Dynamics Problem with Feedback.

Authors: Eulogio Conception Bermudes; NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Abstract:

This work examines the three-dimensional dynamic response of a nonlinear fast reactor with temperature-dependent feedback and delayed neutrons when subjected to uniform and local disturbances. The finite element method was employed to reduce the partial differential reactor equation to a system of ordinary differential equations which can be numerically integrated. A program for the numerical solution of large sparse systems of stiff differential equations developed by Franke and based on Gear's method solved the reduced neutron dynamics equation. Although a study of convergence by refining element mesh sizes was not carried out, the crude finite element mesh utilized yielded the correct trend of neutron dynamic behavior. (Author)

Description:

Master's thesis

Pages:

160

Report Date:

DEC 1976

Report Number:

A577830

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