Time integration methods for reactor kinetics

Thesis/Dissertation · Wed Dec 01 04:00:00 EST 1971

DOI:https://doi.org/10.2172/4644788· OSTI ID:4644788

da Nobrega, Jose de Anchieta Wanderley ^[1]

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1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

A technique based on the Pade approximations is applied to the solution of the point kinetics equations. The method consists of treating explicitly the roots of the inhour formula which would make the Pade approximations inaccurate. Also, an analytic method is developed which permits a fast inversion of polynomials of the point kinetics matrix and has direct applicability to the Pade approximations. Results are presented for several cases using various options of the method. It is concluded that the technique provides a fast and accurate computational method for the point kinetics equations.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-26-032939
• OSTI ID: 4644788
• Report Number(s): COO--3052-1; MITNE--136
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
MULTIGROUP THEORY
NEUTRON DIFFUSION EQUATION
PADE APPROXIMATION
REACTOR KINETICS EQUATIONS
REACTORS/kinetics equations for
time integration methods for solution of
TIME DEPENDENCE