Investigations on the iso-geometric analysis method applied to neutron transport calculations in two- and three-dimensional spatial domains

摘要

A simulation method for the transport of neutrons in spatial domains of arbitrary shape is presented, using S_(N)neutron transport theory and the Iso-Geometric Analysis (IGA) method. IGA is a method to solve partial differential equations, such as the neutron transport equation, on spatial domains of arbitrary shape. A multi-group S_(N)transport code capable of simulating two- and three-dimensional spatial domains is developed. Examples of the code validation are presented, as well as examples of calculations of neutron transport in spatial domains of arbitrary shape. The result is that the IGA method allows to reach good accuracy, but in comparison to legacy codes based on the S_(N)method, the IGA method is expensive in terms of calculation time and memory footprint. The combination of S_(N)transport and the IGA method opens a possibility for reference calculations of neutron transport in complex spatial domains.