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Home / Publications / Journals / Nuclear Science and Engineering / Volume 149 / Number 2

Point Genetics: A New Concept to Assess Neutron Kinetics

R. Klein Meulekamp, J. C. Kuijper, M. Schikorr

Nuclear Science and Engineering / Volume 149 / Number 2 / February 2005 / Pages 237-245

Technical Paper

Point genetic equations are introduced. These equations are similar to the well-known point kinetic equations but characterize and couple individual fission generations in subcritical systems. Point genetic equations are able to describe dynamic behavior of source-driven subcritical systems on shorter timescales than is possible with point kinetic equations. Point genetic parameters can be used as a first-order characterization of the system and can be calculated using standard Monte Carlo techniques; the implementation in other calculational schemes seems straightforward. A Godiva sphere is considered to show the applicability of the point genetic equations in describing a detector response on short timescales. For this system the point genetic parameters are calculated and compared with reference calculations. Typical dynamic source behavior is considered by studying a transient in which the neutron source energy decreases from 20 to 1 MeV. For all cases studied, the point genetic equations are compared to full space-time kinetic solutions, and it is shown that point genetics performs well.

 
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