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A Benchmark for Neutron Kinetics Methods in Hexagonal Geometry.

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Title: A Benchmark for Neutron Kinetics Methods in Hexagonal Geometry.
Authors: Dawn, William C.1 (AUTHOR) william.dawn@studsvik.com
Source: Nuclear Science & Engineering. May2025, Vol. 199 Issue 5, p725-735. 11p.
Subjects: Nuclear engineering, Neutron diffusion, Extrapolation, Hexagonal crystal system, Transient analysis
Abstract: A new benchmark solution has been developed to aid in the development of neutron kinetics solvers for hexagonal geometries, such as those in water-water energetic reactors. This benchmark problem is based on the two-dimensional, two-group, International Atomic Energy Agency–Hex steady-state benchmark problem. Two transient problems are presented: a ramp and a step transient. To create a benchmark-quality solution to this transient problem, a basic neutron kinetics model was added to the computer program LUPINE (Liquid metal–cooled fast reactor Utility for Physics Informed Nuclear Engineering). LUPINE solves neutron kinetics equations in general unstructured mesh. First, the LUPINE kinetics solvers are verified using the TWIGL benchmark problems. Then the methods in LUPINE are used to perform a spatiotemporal convergence analysis to ensure that the solutions are sufficiently converged. Finally, Richardson extrapolation is performed to obtain the reference solutions for these new kinetics benchmark problems. [ABSTRACT FROM AUTHOR]
Copyright of Nuclear Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 184193482
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: A Benchmark for Neutron Kinetics Methods in Hexagonal Geometry.
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  Data: <searchLink fieldCode="AR" term="%22Dawn%2C+William+C%2E%22">Dawn, William C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> william.dawn@studsvik.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Nuclear+Science+%26+Engineering%22">Nuclear Science & Engineering</searchLink>. May2025, Vol. 199 Issue 5, p725-735. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Nuclear+engineering%22">Nuclear engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+diffusion%22">Neutron diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Extrapolation%22">Extrapolation</searchLink><br /><searchLink fieldCode="DE" term="%22Hexagonal+crystal+system%22">Hexagonal crystal system</searchLink><br /><searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink>
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  Data: A new benchmark solution has been developed to aid in the development of neutron kinetics solvers for hexagonal geometries, such as those in water-water energetic reactors. This benchmark problem is based on the two-dimensional, two-group, International Atomic Energy Agency–Hex steady-state benchmark problem. Two transient problems are presented: a ramp and a step transient. To create a benchmark-quality solution to this transient problem, a basic neutron kinetics model was added to the computer program LUPINE (Liquid metal–cooled fast reactor Utility for Physics Informed Nuclear Engineering). LUPINE solves neutron kinetics equations in general unstructured mesh. First, the LUPINE kinetics solvers are verified using the TWIGL benchmark problems. Then the methods in LUPINE are used to perform a spatiotemporal convergence analysis to ensure that the solutions are sufficiently converged. Finally, Richardson extrapolation is performed to obtain the reference solutions for these new kinetics benchmark problems. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Nuclear Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/00295639.2024.2396173
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 11
        StartPage: 725
    Subjects:
      – SubjectFull: Nuclear engineering
        Type: general
      – SubjectFull: Neutron diffusion
        Type: general
      – SubjectFull: Extrapolation
        Type: general
      – SubjectFull: Hexagonal crystal system
        Type: general
      – SubjectFull: Transient analysis
        Type: general
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      – TitleFull: A Benchmark for Neutron Kinetics Methods in Hexagonal Geometry.
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            NameFull: Dawn, William C.
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            – D: 01
              M: 05
              Text: May2025
              Type: published
              Y: 2025
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            – TitleFull: Nuclear Science & Engineering
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