American Nuclear Society
Home

Home / Publications / Journals / Nuclear Science and Engineering / Volume 50 / Number 3

Computational Experimentation on the Finite Element Method in Bare Slab Criticality Calculations

Juhani Pitkäranta, Pekka Silvennoinen

Nuclear Science and Engineering / Volume 50 / Number 3 / March 1973 / Pages 297-300

Technical Note / dx.doi.org/10.13182/NSE73-A28984

Based on a self-adjoint form of the one-group neutron transport equation, the finite element method is applied to the computation of the critical halfthickness of a bare slab. Different optional schemes are compared numerically. For a given order of approximation it is shown that accuracy can be improved appreciably by a proper implementation of the nonreentrant boundary condition and by using a varying element size.