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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
Solution of the Neutron Point Kinetics equations by applying the Rosenbrock method
Submission Author:
Natália Schaun , RS
Co-Authors:
Natália Schaun, Fernanda Tumelero, Claudio Zen Petersen
Presenter: Natália Schaun
doi://10.26678/ABCM.ENCIT2020.CIT20-0765
Abstract
In this work, the solution of the Neutron Point Kinetics equations is presented by applying the fourth-order and four-stage Rosenbrock method. The objective of this paper is to validate this methodology already used in Yang and Jevremovic (2009) to apply it, in future works, to the Neutron Point Kinetics equations including the effects of temperature and poisons in the final analysis of neutron density behavior. In the resolution, one and six groups of delayed neutron precursors are considered for reactivities of the type: constant, ramp, quadratic, sinusoidal, zig-zag, and pulsed source with constant time step. The Numerical results are compared with those found in the literature. The numerical results obtained have achieved good precision as the time step is reduced, ensuring that the system stiffness is overcome. Thus, this study contributed to guarantee the safe operation of nuclear reactors by analyzing the neutron density behavior for different reactivity insertions.
Keywords
Neutron Point Kinetics equations, Rosenbrock method, nuclear engineering
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