On Simplified Spherical Harmonics (SPN) and Generalized SPN (GSPN) formulations

Simplified P-N (SPN) equations are derived based on variational method using a modified version of ansatz originally proposed by Pomraning. New boundary and interface conditions are derived for the SPN equations using the corresponding angular flux expression. The equivalence of equations, thus derived, along with its interface and boundary conditions with those of a specific case of Generalized SPN (GSP(N)), put forward by Chao, is brought out. (C) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This study derives the Simplified P-N (SPN) equations using a modified version of ansatz proposed by Pomraning and a variational method. New boundary and interface conditions for the SPN equations are derived based on the corresponding angular flux expression. The equivalence between the derived equations and a specific case of Generalized SPN (GSP(N)) proposed by Chao is demonstrated.