Exponential Monte Carlo Convergence on a Homogeneous Right Parallelepiped Using211 the Reduced Source Method with Legendre Expansion

摘要

In previous work, exponential convergence of Monte Carlo solutions using the211u001ereduced source method with Legendre expansion has been achieved only in one-211u001edimensional rod and slab geometries. In this paper, the method is applied to 211u001ethree-dimensional (right parallelepiped) problems, with resulting evidence 211u001esuggesting success. As implemented in this paper, the method approximates an 211u001eangular integral of the flux with a discrete-ordinates numerical quadrature. It 211u001eis possible that this approximation introduces an inconsistency that must be 211u001eaddressed.