TY - GEN
T1 - Benchmarks for the point kinetics equations
AU - Ganapol, B.
AU - Picca, P.
AU - Previti, A.
AU - Mostacci, D.
PY - 2013
Y1 - 2013
N2 - A new numerical algorithm is presented for the solution to the point kinetics equations (PKEs), whose accurate solution has been sought for over 60 years. The method couples the simplest of finite difference methods, a backward Euler, with Richardsons extrapolation, also called an acceleration. From this coupling, a series of benchmarks have emerged. These include cases from the literature as well as several new ones. The novelty of this presentation lies in the breadth of reactivity insertions considered, covering both prescribed and feedback reactivities, and the extreme 8- to 9- digit accuracy achievable. The benchmarks presented are to provide guidance to those who wish to develop further numerical improvements.
AB - A new numerical algorithm is presented for the solution to the point kinetics equations (PKEs), whose accurate solution has been sought for over 60 years. The method couples the simplest of finite difference methods, a backward Euler, with Richardsons extrapolation, also called an acceleration. From this coupling, a series of benchmarks have emerged. These include cases from the literature as well as several new ones. The novelty of this presentation lies in the breadth of reactivity insertions considered, covering both prescribed and feedback reactivities, and the extreme 8- to 9- digit accuracy achievable. The benchmarks presented are to provide guidance to those who wish to develop further numerical improvements.
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M3 - Conference contribution
AN - SCOPUS:84883341249
SN - 9781627486439
T3 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
SP - 2119
EP - 2146
BT - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
T2 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Y2 - 5 May 2013 through 9 May 2013
ER -