Finite element solution of a three-dimensional nonlinear reactor dynamics problem with feedback
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.
- Research Organization:
- Naval Postgraduate School, Monterey, CA (USA)
- OSTI ID:
- 7221037
- Report Number(s):
- AD-A-038775
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
220100* -- Nuclear Reactor Technology-- Theory & Calculation
DISTURBANCES
EPITHERMAL REACTORS
EQUATIONS
FAST REACTORS
FEEDBACK
FINITE ELEMENT METHOD
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
REACTOR KINETICS EQUATIONS
REACTORS
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS