COEFFICIENTS OF 2ND-ORDER SPHERICAL HARMONIC EQUATIONS USING AUTOMATIC-GENERATION

Abstract

The spherical harmonics approximation to the neutron transport equation suffers from the complexity of the resulting differential equations. This complexity, which may prohibit the implementation of the method, can be overcome with an automatic generation scheme. This work presents the recurrence relations for generating second order spherical harmonic differential equations in three dimensions for homogenous media.