Verification of the trigonal-geometry diffusion and SP3 models of the code DYN3D

DYN3D is a three-dimensional nodal diffusion code for steady-state and transient analyses of Light-Water Reactors with square and hexagonal fuel assembly geometries, applicable also to innovative reactor concepts. Currently, several versions of the DYN3D code are available including a multi-group diffusion and simplified P3 (SP3) neutron transport option.
In this work, both the diffusion and SP3 method in trigonal geometry are verified by means of fine-mesh homogenized reference solutions. Good agreement is observed for eigenvalues, neutron flux and power distributions. Mesh refinement studies show that the trigonal nodal DYN3D methods converge well to the fine-mesh references. Furthermore, an anisotropic-scattering benchmark problem was chosen to show the advantage of the SP3 method over the diffusion approach.