publication . Article . 2020

Numerical solution of two-energy-group neutron noise diffusion problems with fine spatial meshes

Name: Numerical solution of two-energy-group neutron noise diffusion problems with fine spatial meshes
Keywords: reactor neutron noise, k-eigenvalue problem, GMRES, nonlinear acceleration, JFNK, SPAI, Nuclear Energy and Engineering

Christophe Demaziere; Paolo Vinai; Antonios Mylonakis;

Open Access English

Published: 01 Jun 2020

Summary

Abstract

The paper presents the development of a strategy for the fine-mesh full-core computation of neutron noise in nuclear reactors. Reactor neutron noise is related to fluctuations of the neutron flux induced by stationary perturbations of the properties of the system. Its monitoring and analysis can provide useful insights in the reactor operations. The model used in the work relies on the neutron diffusion approximation and requires the solution of both the criticality (eigenvalue) and neutron noise equations. A high-resolution spatial discretization of the equations is important for an accurate evaluation of the neutron noise because of the strong gradients that m...

doi: 10.1016/j.anucene.2019.107093

Subjects

free text keywords: reactor neutron noise, k-eigenvalue problem, GMRES, nonlinear acceleration, JFNK, SPAI, Nuclear Energy and Engineering, Linear system, Generalized minimal residual method, System of linear equations, Discretization, Mechanics, Physics, Neutron flux, Numerical analysis, Nuclear reactor, law.invention, law, Nuclear reactor core

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