Analytical Benchmark Test Set for Criticality Code Verification

A number of published numerical solutions to analytic eigenvalue (keff) and eigenfunction equations are summarized for the purpose of creating a criticality verification benchmark test set. The 75-problem test set allows the user to verify the correctness of a criticality code for infinite medium and simple geometries in one-, two-, three-, and six-energy groups, with one-, two-, and four-media. The problems include both isotropic and linearly and quadratically anisotropic neutron scattering. The problem specifications will produce both keff = 1 and the quoted k∞ to at least five decimal places. MCNP (Briesmeister, 1997) and DANTSYS (Alcouff, R.E, et al., 1995) have been verified using these problems. Additional uses of the test set for code verification are also discussed.