A polynomial nodal model using Legendre expansions

Development of a polynomial nodal model to the multigroup transport equation in one dimension

“…The program Is a one-dimensional multigroup code capable of handling up to P^ approximations using both full and partial expansions. The fourth-order Legendre polynomial is used in the code since it was observed by Rohach [5] that this polynomial order is enough for normal reactor problems. Two sample problems were developed to compare the results of the nodal model with the results of more accurate models.…”

“…It is the purpose of this study to develop and test a nodal model that can be used to solve the one-dimensional multigroup form of the neutron transport equation. Earlier studies of the one-dimensional diffusion equation, using the nodal model, have proven to be successful [4,5].…”