The converged Sn algorithm for nuclear criticality

Barry D Ganapol, K. Hadad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new discrete ordinates algorithm to determine the multiplication factor of a 1D nuclear reactor, based on Bengt Carlson's S n method, is presented. The algorithm applies the Romberg and Wynn-epsilon accelerators to accelerate a 1D, one-group S n solution to its asymptotic limit. We demonstrate the feasibility of the Converged Sn (CSn) solution on several one-group criticality benchmark compilations. The new formulation is especially convenient since it enables highly accurate critical fluxes and eigenvalues using the most fundamental transport algorithm.

Original languageEnglish (US)
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages1713-1729
Number of pages17
Volume3
StatePublished - 2009
EventInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States
Duration: May 3 2009May 7 2009

Other

OtherInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
CountryUnited States
CitySaratoga Springs, NY
Period5/3/095/7/09

Fingerprint

Criticality
Discrete Ordinates
Nuclear Reactor
Asymptotic Limit
nuclear reactors
Nuclear reactors
Compilation
Accelerator
multiplication
Accelerate
Particle accelerators
Multiplication
accelerators
eigenvalues
Benchmark
Fluxes
Eigenvalue
formulations
Formulation
Demonstrate

Keywords

  • Criticality
  • Discrete ordinates
  • Multiplication factor
  • One-group

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Computational Mathematics
  • Nuclear and High Energy Physics

Cite this

Ganapol, B. D., & Hadad, K. (2009). The converged Sn algorithm for nuclear criticality. In American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 (Vol. 3, pp. 1713-1729)

The converged Sn algorithm for nuclear criticality. / Ganapol, Barry D; Hadad, K.

American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. Vol. 3 2009. p. 1713-1729.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ganapol, BD & Hadad, K 2009, The converged Sn algorithm for nuclear criticality. in American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. vol. 3, pp. 1713-1729, International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009, Saratoga Springs, NY, United States, 5/3/09.
Ganapol BD, Hadad K. The converged Sn algorithm for nuclear criticality. In American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. Vol. 3. 2009. p. 1713-1729
Ganapol, Barry D ; Hadad, K. / The converged Sn algorithm for nuclear criticality. American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009. Vol. 3 2009. pp. 1713-1729
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