The spectral element method for static neutron transport in AN approximation. Part II

• An investigation on the use of SEM for neutron transport problems is carried out.
• The work deals with the spectral element solution of AN equations in reactor cells.
• A mapping technique based on transfinite interpolation is applied.
• Benchmark exercises clarify the computational advantages of SEM.

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 ANAN approximation. Part I of the study contained a description of the sem variational approach of the ANAN 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-ANAN approach in comparison with classical low-order computational techniques.