A modified piecewise constant approximation for solution to the point kinetics equations

Barry D Ganapol, P. Picca

Research output: Contribution to journalConference articlepeer-review


A new enabling form of the PCA algorithm for high accuracy solutions to the PKEs, called Modified PCA (MPCA), has been presented and demonstrated to solve PKEs with time- dependent prescribed and non-linear reactivity insertions. The new form relegates the reactivity to a source term by introducing an ad-hoc constant prompt step reactivity. Remarkably, in so doing. the numerical difficulty associated with time-dependent and non-linear reactivity greatly diminishes. The MPCA gives all literature benchmarks known to the author to 9 or more significant places. This method therefore becomes one of a trifecta of existing methods to reliably generate high fidelity benchmarks for the PKEs for both prescribed and non-linear reactivity insertions.

Original languageEnglish (US)
Pages (from-to)1167-1170
Number of pages4
JournalTransactions of the American Nuclear Society
StatePublished - 2015
Event2015 Transactions of the American Nuclear Society, ANS 2015 - Washington, United States
Duration: Nov 8 2015Nov 12 2015

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Safety, Risk, Reliability and Quality

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