3D Computational Code for Calculation of Kineric Parameters Based on Galerkin Finite Element Method

In the present paper, development of the Galerkin Finite Element Method-Kinetic-3 Dimentional (GFEM-KIN-3D) computational code for the calculation of the kinetic parameters is reported. To this end, the static neutron diffusion and corresponding adjoint equations are solved using Galerkin Finite element method in the 3 dimensional geometry. Then, the calculated neutron and adjoint flux distributions are used in the perturbation theory to calculate the effective delayed neutron fraction and mean generation time of the neutrons. There is no benchmark problem that includes the information such as the delayed neutron fraction, prompt and delayed neutron spectrum. Therefore, some problems were designed by the author and the kinetic parameters were calculated for the considered problem. Since the neutron diffusion solver was previously validated against the well-known benchmark problems and the equations of perturbation theory is available, we conclude that if the required information is known, the kinetic parameters will be calculated with high accuracy. The developed GFEM-KIN-3D is applicable to the core calculation of the both hexagonal and rectangular reactor cores.