### Abstract

A code package called UNÌC is currently under development at Argonne (Argonne National Laboratory). This new code package is focused on high fidelity solutions for nuclear reactor plant operations. The focus of this paper is the development of a spherical harmonics method used to solve the neutron transport equation. This new code, called P _{N}FE, is just one of the components of UNÌC. P _{N}FE is targeted for use on massively parallel platforms using the PETSc library developed at ANL. In this paper, an overview of the theory behind the spherical harmonics method is given along with some results obtained with a parallel implementation of the code.

Original language | English |
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Title of host publication | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 |

Publication status | Published - 2007 |

Externally published | Yes |

Event | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 - Monterey, CA, United States Duration: 15 Apr 2007 → 19 Apr 2007 |

### Other

Other | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 |
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Country | United States |

City | Monterey, CA |

Period | 15/4/07 → 19/4/07 |

### Fingerprint

### Keywords

- Finite element
- Neutronics
- Spherical harmonics
- Unstructured mesh

### ASJC Scopus subject areas

- Mathematics(all)
- Nuclear and High Energy Physics

### Cite this

_{N}FE component of the UNÌC code. In

*Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007*

**P _{N}FE component of the UNÌC code.** / Smith, M. A.; Palmiotti, G.; Rabiti, C.; Kaushik, D.; Siegel, A.; Smith, B.; Lewis, E. E.

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

_{N}FE component of the UNÌC code. in

*Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007.*Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007, Monterey, CA, United States, 15/4/07.

_{N}FE component of the UNÌC code. In Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. 2007

}

TY - GEN

T1 - P NFE component of the UNÌC code

AU - Smith, M. A.

AU - Palmiotti, G.

AU - Rabiti, C.

AU - Kaushik, D.

AU - Siegel, A.

AU - Smith, B.

AU - Lewis, E. E.

PY - 2007

Y1 - 2007

N2 - A code package called UNÌC is currently under development at Argonne (Argonne National Laboratory). This new code package is focused on high fidelity solutions for nuclear reactor plant operations. The focus of this paper is the development of a spherical harmonics method used to solve the neutron transport equation. This new code, called P NFE, is just one of the components of UNÌC. P NFE is targeted for use on massively parallel platforms using the PETSc library developed at ANL. In this paper, an overview of the theory behind the spherical harmonics method is given along with some results obtained with a parallel implementation of the code.

AB - A code package called UNÌC is currently under development at Argonne (Argonne National Laboratory). This new code package is focused on high fidelity solutions for nuclear reactor plant operations. The focus of this paper is the development of a spherical harmonics method used to solve the neutron transport equation. This new code, called P NFE, is just one of the components of UNÌC. P NFE is targeted for use on massively parallel platforms using the PETSc library developed at ANL. In this paper, an overview of the theory behind the spherical harmonics method is given along with some results obtained with a parallel implementation of the code.

KW - Finite element

KW - Neutronics

KW - Spherical harmonics

KW - Unstructured mesh

UR - http://www.scopus.com/inward/record.url?scp=84858460302&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84858460302&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84858460302

SN - 0894480596

SN - 9780894480591

BT - Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007

ER -