A legendre polynomial nodal model for 3-D diffusion problems

Incorporation of a rectangular void into a three-dimensional neutron diffusion nodal model

“…In the diffusion nodal model [10], the nodal fluxes are determined as a power series of Legendre polynomials. In this work it is more convenient to use a straight power A complete determination of ips is then subjected to an adequate choice of:…”

“…In the nodal method, the spatial neutron flux distribution within a node is gen erally expressed in terms of the Legendre polynomials [10]:…”

“…Making use of relations (8.2) through (8.10) one has: inet = ((^0^0 + + ^2^2 + (8)(9)(10)(11)(12) the matrix:…”

“…is called the overall transfer matrix, and the relation: (8)(9)(10)(11)(12)(13) is called the void equation.…”