The Spectral Element Method for Static Neutron Transport in AN Approximation. Part II

This paper is the second part of an investigation on the use of the spectral element method (SEM) to solve neutron transport problems in the AN approximation. Part I of the study contained a description of the SEM variational approach of the AN equations applied to classical assembly benchmark problems. Part II deals with the SEM solution of these equations in reactor cells. To cope with the cell geometry we apply a mapping technique from curved to square domains based on transfinite interpolation. Benchmark exercises – based on the method of characteristics – on the scale of fuel cells give a further confirmation of the computation advantages of the SEM-AN approach in comparison with classical low-order computational techniques.