### Abstract

The variational nodal method contained in the Argonne National Laboratory code VARIANT is generalized to include R-Z geometry. Spherical harmonic trial functions are used in angle, and polynomials in space. The nodal volumes correspond to toroids, with rectangular cross sections, except along centerline where they are cylinders. The R-Z response matrix equations are solved using the iterative methods already contained in VARIANT. Results are given for both a one-group fixed source and a two-group eigenvalue problem.

Original language | English (US) |
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Title of host publication | Proceedings of the PHYSOR 2004 |

Subtitle of host publication | The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments |

Pages | 1469-1478 |

Number of pages | 10 |

State | Published - 2004 |

Event | PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments - Chicago, IL, United States Duration: Apr 25 2004 → Apr 29 2004 |

### Publication series

Name | Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments |
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### Other

Other | PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments |
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Country | United States |

City | Chicago, IL |

Period | 4/25/04 → 4/29/04 |

### Keywords

- Boltzmann Equation
- Neutron Transport
- Nodal Method
- R-Z Geometry
- Spherical Harmonics
- Variational Method

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

Zhang, H., & Lewis, E. E. (2004). The variational nodal method in R-Z geometry. In

*Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments*(pp. 1469-1478). (Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments).