Journal article Open Access

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

Antonios G. Mylonakis; Paolo VInai; Christophe Demazière

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 may arise from the perturbations. Considering the size of a nuclear reactor, the application of a fine mesh generates large systems of equations which can be challenging to solve. Then, numerical methods that can provide efficient solutions for these kinds of problems using a reasonable computational effort, are investigated. In particular the power method accelerated with the Chebychev or JFNK-based techniques for the eigenvalue problem, and GMRES with the Symmetric Gauss-Seidel, ILU, SPAI preconditioners for the solution of linear systems, are evaluated with the computation of neutron noise in the case of localized perturbations in 1-D and 2-D simplified reactor cores and in a 3D realistic reactor core.

Files (575.3 kB)
Name Size
2020_Mylonakis_ANE_preprint_V1.pdf
md5:7a76d573a94154eaf21cf5edfcad20c6
575.3 kB Download
21
30
views
downloads
Views 21
Downloads 30
Data volume 17.3 MB
Unique views 17
Unique downloads 29

Share

Cite as