1972•Transport Theory and Statistical PhysicsRequires access

Partial-range legendre polynomial solution of the neutron-transport equation

William J. Garland, A. A. Harms

Abstract

A new variant of the spherical harmonics formalism is used in solving the one-speed neutron-transport equation. One unique facet of this formalism is the imposition of arbitrary angular segmentations that can be chosen to maximize the computational accuracy in a given modal-nodal approximation. It is found that this solution procedure permits the exact calculation of some neutron-transport parameters using a low-order expansion.

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Key concepts: Legendre polynomials, Spherical harmonics, Neutron transport, Associated Legendre polynomials, Formalism (music), Legendre function, Mathematical analysis, Mathematics