### Abstract

We construct semi-analytic benchmarks for the neutron slowing down equations in the thermal, resonance and fast energy regimes through mathematical embedding. The method features a fictitious time-dependent slowing down equations solved via Taylor series expansion over discrete "time" intervals. Two classes of benchmarks are considered- the first treats methods of solution and the second the multigroup approximation itself. We present several meaningful benchmark methods comparisons with the COMBINE7 energy spectrum code and a simple demonstration of convergence of the multigroup approximation.

Original language | English (US) |
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Title of host publication | International Conference on the Physics of Reactors 2008, PHYSOR 08 |

Pages | 626-634 |

Number of pages | 9 |

Volume | 1 |

State | Published - 2008 |

Event | International Conference on the Physics of Reactors 2008, PHYSOR 08 - Interlaken, Switzerland Duration: Sep 14 2008 → Sep 19 2008 |

### Other

Other | International Conference on the Physics of Reactors 2008, PHYSOR 08 |
---|---|

Country | Switzerland |

City | Interlaken |

Period | 9/14/08 → 9/19/08 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Nuclear and High Energy Physics

### Cite this

*International Conference on the Physics of Reactors 2008, PHYSOR 08*(Vol. 1, pp. 626-634)

**Verification of the INL/COMBINE7 neutron energy spectrum code.** / Ganapol, Barry D; Yoon, Woo Y.; Nigg, David W.

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

*International Conference on the Physics of Reactors 2008, PHYSOR 08.*vol. 1, pp. 626-634, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.

}

TY - GEN

T1 - Verification of the INL/COMBINE7 neutron energy spectrum code

AU - Ganapol, Barry D

AU - Yoon, Woo Y.

AU - Nigg, David W.

PY - 2008

Y1 - 2008

N2 - We construct semi-analytic benchmarks for the neutron slowing down equations in the thermal, resonance and fast energy regimes through mathematical embedding. The method features a fictitious time-dependent slowing down equations solved via Taylor series expansion over discrete "time" intervals. Two classes of benchmarks are considered- the first treats methods of solution and the second the multigroup approximation itself. We present several meaningful benchmark methods comparisons with the COMBINE7 energy spectrum code and a simple demonstration of convergence of the multigroup approximation.

AB - We construct semi-analytic benchmarks for the neutron slowing down equations in the thermal, resonance and fast energy regimes through mathematical embedding. The method features a fictitious time-dependent slowing down equations solved via Taylor series expansion over discrete "time" intervals. Two classes of benchmarks are considered- the first treats methods of solution and the second the multigroup approximation itself. We present several meaningful benchmark methods comparisons with the COMBINE7 energy spectrum code and a simple demonstration of convergence of the multigroup approximation.

UR - http://www.scopus.com/inward/record.url?scp=79953903122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953903122&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79953903122

SN - 9781617821219

VL - 1

SP - 626

EP - 634

BT - International Conference on the Physics of Reactors 2008, PHYSOR 08

ER -