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Benchmark-Quality Results for Transport Problems Involving a Void Region in Spherical Geometry.

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Title: Benchmark-Quality Results for Transport Problems Involving a Void Region in Spherical Geometry.
Authors: Garcia, R. D. M.1 (AUTHOR) martinezgarcia.rob@gmail.com
Source: Nuclear Science & Engineering. Apr2026, Vol. 200 Issue 4, p753-765. 13p.
Subject Terms: *Spherical geometry, *Spherical harmonics, *Transport equation, *Discretization methods, *Numerical analysis
Abstract: The post-processed spherical harmonics (${P_N}$ P N ) method is used to solve four monoenergetic test problems in spherical geometry that include a void region in their definition. Two of them are two-region problems and the remaining ones are three-region problems. It is shown how the void region can be excluded from the problem and how a solution can be obtained for it once the reduced problem is solved. Numerical results with six significant digits of accuracy for the scalar flux, the current, and the angular flux are provided for all of the problems. A comparison with tabulated scalar flux results obtained by other authors for one of the problems is carried out and serves to illustrate the convergence difficulties of transport methods based on spatial discretization when used in voids. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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  Availability: 0
Header DbId: enr
DbLabel: Energy & Power Source
An: 192312469
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Benchmark-Quality Results for Transport Problems Involving a Void Region in Spherical Geometry.
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Garcia%2C+R%2E+D%2E+M%2E%22">Garcia, R. D. M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> martinezgarcia.rob@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Nuclear+Science+%26+Engineering%22">Nuclear Science & Engineering</searchLink>. Apr2026, Vol. 200 Issue 4, p753-765. 13p.
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  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Spherical+geometry%22">Spherical geometry</searchLink><br />*<searchLink fieldCode="DE" term="%22Spherical+harmonics%22">Spherical harmonics</searchLink><br />*<searchLink fieldCode="DE" term="%22Transport+equation%22">Transport equation</searchLink><br />*<searchLink fieldCode="DE" term="%22Discretization+methods%22">Discretization methods</searchLink><br />*<searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The post-processed spherical harmonics (${P_N}$ P N ) method is used to solve four monoenergetic test problems in spherical geometry that include a void region in their definition. Two of them are two-region problems and the remaining ones are three-region problems. It is shown how the void region can be excluded from the problem and how a solution can be obtained for it once the reduced problem is solved. Numerical results with six significant digits of accuracy for the scalar flux, the current, and the angular flux are provided for all of the problems. A comparison with tabulated scalar flux results obtained by other authors for one of the problems is carried out and serves to illustrate the convergence difficulties of transport methods based on spatial discretization when used in voids. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=192312469
RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/00295639.2025.2471695
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 753
    Subjects:
      – SubjectFull: Spherical geometry
        Type: general
      – SubjectFull: Spherical harmonics
        Type: general
      – SubjectFull: Transport equation
        Type: general
      – SubjectFull: Discretization methods
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
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      – TitleFull: Benchmark-Quality Results for Transport Problems Involving a Void Region in Spherical Geometry.
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            NameFull: Garcia, R. D. M.
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            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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              Value: 200
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              Value: 4
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            – TitleFull: Nuclear Science & Engineering
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