Reduced-Order Modelling with Domain Decomposition Applied to Multi-Group Neutron Transport

Toby R. F. Phillips, Claire E. Heaney, Brendan S. Tollit, Paul N. Smith and Christopher C. Pain
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Toby R. F. Phillips: Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK
Claire E. Heaney: Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK
Brendan S. Tollit: Jacobs, King’s Point House, Queen Mother Square, Poundbury, Dorchester DT1 3BW, UK
Paul N. Smith: Jacobs, King’s Point House, Queen Mother Square, Poundbury, Dorchester DT1 3BW, UK
Christopher C. Pain: Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK

Energies, 2021, vol. 14, issue 5, 1-25

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.

Keywords: reduced-order modelling; domain decomposition; model reduction; neutron diffusion equation; reactor physics (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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