### 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 |

Volume | 2 |

State | Published - 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 |

### 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 |

### Fingerprint

### Keywords

- Multipanels
- Slowing down
- Ultra-fine groups

### ASJC Scopus subject areas

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

### Cite this

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

**An ultra-fine group slowing down benchmark.** / Ganapol, Barry D; Maldonado, G. I.; Williams, M. L.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009.*vol. 2, pp. 870-881, International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009, Saratoga Springs, NY, United States, 5/3/09.

}

TY - GEN

T1 - An ultra-fine group slowing down benchmark

AU - Ganapol, Barry D

AU - Maldonado, G. I.

AU - Williams, M. L.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Multipanels

KW - Slowing down

KW - Ultra-fine groups

UR - http://www.scopus.com/inward/record.url?scp=76749102984&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=76749102984&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781615673490

VL - 2

SP - 870

EP - 881

BT - American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009

ER -