A deterministic transport calculation method of α-eigenvalue for non-multiplying system using framework of k-eigenvalue calculation

A new α-eigenvalue calculation method for a non-multiplying system using the framework of conventional k-eigenvalue calculation of a deterministic transport code is proposed. The time-derivative or the time-absorption term in α-eigenvalue calculation is moved to the right-hand side of the transport equation and is considered as a virtual fission source. The present method is applied to a simple three-dimensional problem with the one-group cross section and a small water tank system with the 252-group cross section. The calculation results indicate that the present method provides accurate α-eigenvalue with rapid convergence and no numerical instability.