### Abstract

A new benchmarking concept is presented for verifying the PEBBED 3D multigroup finite difference/nodal diffusion code with application to pebble bed modular reactors (PBMRs). The key idea is to perform convergence acceleration, also called extrapolation to zero discretization, of a basic finite difference numerical algorithm to give extremely high accuracy. The method is first demonstrated on a 1D cylindrical shell and then on an r,θ wedge where the order of the second order finite difference scheme is confirmed to four places.

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

Pages | 1086-1091 |

Number of pages | 6 |

Volume | 2 |

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. 2, pp. 1086-1091)

**A 2D benchmark for the verification of the PEBBED code.** / Ganapol, Barry D; Gougar, Hans D.; Ougouag, Abderrafi M.

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

*International Conference on the Physics of Reactors 2008, PHYSOR 08.*vol. 2, pp. 1086-1091, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.

}

TY - GEN

T1 - A 2D benchmark for the verification of the PEBBED code

AU - Ganapol, Barry D

AU - Gougar, Hans D.

AU - Ougouag, Abderrafi M.

PY - 2008

Y1 - 2008

N2 - A new benchmarking concept is presented for verifying the PEBBED 3D multigroup finite difference/nodal diffusion code with application to pebble bed modular reactors (PBMRs). The key idea is to perform convergence acceleration, also called extrapolation to zero discretization, of a basic finite difference numerical algorithm to give extremely high accuracy. The method is first demonstrated on a 1D cylindrical shell and then on an r,θ wedge where the order of the second order finite difference scheme is confirmed to four places.

AB - A new benchmarking concept is presented for verifying the PEBBED 3D multigroup finite difference/nodal diffusion code with application to pebble bed modular reactors (PBMRs). The key idea is to perform convergence acceleration, also called extrapolation to zero discretization, of a basic finite difference numerical algorithm to give extremely high accuracy. The method is first demonstrated on a 1D cylindrical shell and then on an r,θ wedge where the order of the second order finite difference scheme is confirmed to four places.

UR - http://www.scopus.com/inward/record.url?scp=79953843531&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953843531&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79953843531

SN - 9781617821219

VL - 2

SP - 1086

EP - 1091

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

ER -