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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Toby R. F. Phillips & Claire E. Heaney & Brendan S. Tollit & Paul N. Smith & Christopher C. Pain, 2021. "Reduced-Order Modelling with Domain Decomposition Applied to Multi-Group Neutron Transport," Energies, MDPI, vol. 14(5), pages 1-25, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:5:p:1369-:d:509309
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    References listed on IDEAS

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    1. Paul T E Cusack, 2020. "On Pain," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 31(3), pages 24253-24254, October.
    2. Claire E. Heaney & Andrew G. Buchan & Christopher C. Pain & Simon Jewer, 2021. "Reduced-Order Modelling Applied to the Multigroup Neutron Diffusion Equation Using a Nonlinear Interpolation Method for Control-Rod Movement," Energies, MDPI, vol. 14(5), pages 1-27, March.
    3. Christian Castagna & Manuele Aufiero & Stefano Lorenzi & Guglielmo Lomonaco & Antonio Cammi, 2020. "Development of a Reduced Order Model for Fuel Burnup Analysis," Energies, MDPI, vol. 13(4), pages 1-26, February.
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    Cited by:

    1. Claire E. Heaney & Andrew G. Buchan & Christopher C. Pain & Simon Jewer, 2021. "Reduced-Order Modelling Applied to the Multigroup Neutron Diffusion Equation Using a Nonlinear Interpolation Method for Control-Rod Movement," Energies, MDPI, vol. 14(5), pages 1-27, March.

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