### Abstract

We suggest a new solution to the neutron slowing down equation in terms of multi-energy panels. Our motivation is to establish a computational benchmark featuring an ultra-fine group calculation, where the number of groups could be on the order of 100,000. While the CENTRM code of the SCALE code package has been shown to adequately treat this many groups, there is always a need for additional verification. The multipanel solution principle is simply to consider the slowing down region as sub regions of panels, with each panel a manageable number of groups, say 100. In this way, we reduce the enormity of dealing with the entire spectrum all at once by considering many smaller problems. We demonstrate the solution in the unresolved U ^{238} resonance region.

Original language | English (US) |
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Title of host publication | American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 |

Pages | 870-881 |

Number of pages | 12 |

State | Published - Dec 1 2009 |

Externally published | Yes |

Event | International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States Duration: May 3 2009 → May 7 2009 |

### Publication series

Name | American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 |
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Volume | 2 |

### Other

Other | International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 |
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Country | United States |

City | Saratoga Springs, NY |

Period | 5/3/09 → 5/7/09 |

### Keywords

- Multipanels
- Slowing down
- Ultra-fine groups

### ASJC Scopus subject areas

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

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## Cite this

*American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009*(pp. 870-881). (American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009; Vol. 2).