3D Spherical Functional Expansion Tallies in Serpent 2 Monte Carlo Code

Ana Jambrina (Corresponding author), Jaakko Leppänen

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review


This work extends the application of functional expansion tallies to 3D spherical geometries. The 3D Zernike polynomials are set as an orthonormal polynomial basis for the functional reconstruction. The study describes the construction of the complete set of polynomials, a natural expansion of the spherical harmonics polynomials where 3D Zernike moments can be evaluated as a linear combination of the geometrical moments. The 3D Zernike polynomials formulation and the computational approach implemented in Serpent 2 are presented and tested through the Godiva model from the ICSBEP criticality benchmark test cases. The implementation results are in agreement with a reference solution described in a fine-resolution mesh, enhancing also the performance and memory demand.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Physics of Reactors (PHYSOR 2022)
PublisherAmerican Nuclear Society (ANS)
ISBN (Electronic)978-0-89448-787-3
Publication statusPublished - 20 May 2022
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Physics of Reactors (PHYSOR 2022)
- Pittsburgh, United States
Duration: 15 May 202220 May 2022


ConferenceInternational Conference on Physics of Reactors (PHYSOR 2022)
Abbreviated titlePHYSOR 2022
Country/TerritoryUnited States
Internet address


  • functional expansion tallies
  • Serpent 2
  • Monte Carlo
  • 3D Zernike polynomials


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