Stability analysis of predictor-corrector schemes for coupling neutronics and depletion
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Cosgrove, Paul https://orcid.org/0000-0003-2829-6299
Shwageraus, Eugene https://orcid.org/0000-0002-7309-4920
Parks, GT
Abstract
Numerical instability resulting from coupling isotopic depletion and neutronics is widely reported, but little work has been done to interrogate the phenomenon theoretically. This work extends the pioneering analysis developed by Densmore et al., who examined the stability of a monoenergetic neutron diffusion problem coupled with a simple depletion system through the explicit Euler scheme. Their Fourier stability analysis is applied to the predictor-corrector scheme and its iterated and implicit variants. The results reproduce behaviour described in previous reports of numerical instability and its solution, and develop a future avenue for diagnosing the stability of burn-up problems.
Description
Keywords
Depletion, Neutron transport, Monte Carlo, Stability
Journal Title
Annals of Nuclear Energy
Conference Name
Journal ISSN
0306-4549
1873-2100
1873-2100
Volume Title
149
Publisher
Elsevier
Publisher DOI
Sponsorship
EPSRC (1818942)
Engineering and Physical Sciences Research Council (EP/L015900/1)
Engineering and Physical Sciences Research Council (EP/L015900/1)