Reduced-order modelling with domain decomposition applied to multi-group neutron transport
File(s)
Published version
Author(s)
Phillips, Toby
Heaney, Claire
Tollit, Brendan
Smith, Paul
Pain, chris
Type
Journal Article
Abstract
Solving the neutron transport equations is a demanding computational challenge. This paper combines reduced-order modelling with domain decomposition to develop an approach that can tackle such problems. The idea is to decompose the domain of a reactor, form basis functions locally in each sub-domain and construct a reduced-order model from this. Several different ways of constructing the basis functions for local sub-domains are proposed, and a comparison is given with a reduced-order model that is formed globally. A relatively simple one-dimensional slab reactor provides a test case with which to investigate the capabilities of the proposed methods. The results show that domain decomposition reduced-order model methods perform comparably with the global reduced-order model when the total number of reduced variables in the system is the same with the potential for the offline computational cost to be significantly less expensive.
Date Issued
2021-03-03
Date Acceptance
2021-02-25
Citation
Energies, 2021, 14 (5)
ISSN
1996-1073
Publisher
MDPI AG
Journal / Book Title
Energies
Volume
14
Issue
5
Copyright Statement
© 2021 by the authors.Licensee MDPI, Basel, Switzerland.This article is an open access articledistributed under the terms andconditions of the Creative CommonsAttribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)
License URL
Sponsor
Engineering & Physical Science Research Council (E
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (E
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/P033180/1
EP/T000414/1
RG80519
EP/T003189/1
Subjects
Science & Technology
Technology
Energy & Fuels
reduced-order modelling
domain decomposition
model reduction
neutron diffusion equation
reactor physics
02 Physical Sciences
09 Engineering
Publication Status
Published
Article Number
ARTN 1369