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 keff.
| 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 |
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ASJC Scopus subject areas
- Nuclear Energy and Engineering
- Nuclear and High Energy Physics
Cite this
Acceleration of the numerical solution of the reactor kinetics equations in plane geometry. / Ganapol, Barry D; Mund, E. H.
International Conference on the Physics of Reactors 2008, PHYSOR 08. Vol. 3 2008. p. 1865-1870.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
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.
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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 -