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http://dx.doi.org/10.1016/j.net.2019.11.034

On the numerical solution of the point reactor kinetics equations  

Suescun-Diaz, D. (Departamento de Ciencias Exactas y Naturales, Grupo de Fisica Aplicada, Universidad Surcolombiana)
Espinosa-Paredes, G. (Area de Ingenieria en Recursos Energeticos, Universidad Autonoma Metropolitana-Iztapalapa)
Publication Information
Nuclear Engineering and Technology / v.52, no.6, 2020 , pp. 1340-1346 More about this Journal
Abstract
The aim of this paper is to explore the 8th-order Adams-Bashforth-Moulton (ABM8) method in the solution of the point reactor kinetics equations. The numerical experiment considers feedback reactivity by Doppler effects, and insertions of reactivity. The Doppler effects is approximated with an adiabatic nuclear reactor that is a typical approximation. The numerical results were compared and discussed with several solution methods. The CATS method was used as a benchmark method. According with the numerical experiments results, the ABM8 method can be considered as one of the main solution method for changes reactivity relatively large.
Keywords
ABM method; CATS method; Point nuclear reactor; Neutron density; Temperature feedback; Reactivity insertions;
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