American Nuclear Society
Home

Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 151 / Number 2 / Pages 194-211

Multiple Timescale Expansions for Neutron Kinetics - II: Illustrative Application to P1 and P3 Equations

B. R. Merk, D. G. Cacuci

Nuclear Science and Engineering / Volume 151 / Number 2 / Pages 194-211

October 2005

Format:

Price:$30.00
Member Price:$27.00
Member Savings:$3.00

Closed-form expressions for three-timescale approximations are developed for the one-group time-dependent P1 and P3 equations for a homogeneous multiplying medium in planar geometry with two effective groups of delayed neutrons. The development of these three-scale approximations does not rely on imposing separation of space and time. The differences between the three-scale approximations for the P1, P3, and diffusion equations, respectively, are analyzed in detail. In particular, the results obtained using the three-scale approximations for the P1 and P3 equations underscore their efficiency and accuracy, particularly for the shortest timescales and in the presence of large reactivity insertions.

 
 
 
Questions or comments about the site? Contact the ANS Webmaster.
advertisement