### Abstract

We apply the mathematical procedure of convergence acceleration to the reactor kinetics equation in plane geometry. The featured concept is to take the most fundamental (consistent) finite difference numerical algorithm and show how, by extrapolating a sequence of solutions, a considerably more accurate solution emerges. We demonstrate this new algorithm on the time evolution of a reactor from an initial critical system to another through perturbation of the cross sections. In the demonstration, we consider convergence of the centreline flux at a specific time and convergence of k_{eff}.

Original language | English (US) |
---|---|

Title of host publication | International Conference on the Physics of Reactors 2008, PHYSOR 08 |

Pages | 1865-1870 |

Number of pages | 6 |

Volume | 3 |

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. 3, pp. 1865-1870)

**Acceleration of the numerical solution of the reactor kinetics equations in plane geometry.** / Ganapol, Barry D; Mund, E. H.

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

*International Conference on the Physics of Reactors 2008, PHYSOR 08.*vol. 3, pp. 1865-1870, International Conference on the Physics of Reactors 2008, PHYSOR 08, Interlaken, Switzerland, 9/14/08.

}

TY - GEN

T1 - Acceleration of the numerical solution of the reactor kinetics equations in plane geometry

AU - Ganapol, Barry D

AU - Mund, E. H.

PY - 2008

Y1 - 2008

N2 - We apply the mathematical procedure of convergence acceleration to the reactor kinetics equation in plane geometry. The featured concept is to take the most fundamental (consistent) finite difference numerical algorithm and show how, by extrapolating a sequence of solutions, a considerably more accurate solution emerges. We demonstrate this new algorithm on the time evolution of a reactor from an initial critical system to another through perturbation of the cross sections. In the demonstration, we consider convergence of the centreline flux at a specific time and convergence of keff.

AB - We apply the mathematical procedure of convergence acceleration to the reactor kinetics equation in plane geometry. The featured concept is to take the most fundamental (consistent) finite difference numerical algorithm and show how, by extrapolating a sequence of solutions, a considerably more accurate solution emerges. We demonstrate this new algorithm on the time evolution of a reactor from an initial critical system to another through perturbation of the cross sections. In the demonstration, we consider convergence of the centreline flux at a specific time and convergence of keff.

UR - http://www.scopus.com/inward/record.url?scp=79953886908&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953886908&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79953886908

SN - 9781617821219

VL - 3

SP - 1865

EP - 1870

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

ER -