Analysis of the surface pseudosources method (G_n-approximations) and comparison with other numerical methods for the neutron transport equation

摘要

A comparison of the surface pseudosources method (SPSM) with other numerical methods for the solution of the neutron transport equation is presented. Unlike most approaches where the first flight Green's function is used, the surface pseudosources method is based on the use of the Green's function of infinite homogenous media. The resulting algebraic system of equations has essential less unknowns than in other methods. Therefore it has a lower number of unknowns. Moreover, coefficients of these algebraic equations can be easily calculated. These two properties of the SPSM method allow us to construct very efficient algorithms for solutions of the transport equation.