2017/12/22 by Eric Steinfelds, Eric V. Steinfelds, Steinfelds, Eric V. +2
Engineering · Medicine · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #Nuclear reactor physics and engineering #Radiation Therapy and Dosimetry #nucl-th #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1712.08649
11 pages, 2 Tables, Transactions of the American Nuclear Society
arxiv created 2017/12/22 · openalex publication_date 2017/12/22 · arxiv updated 2017/12/27 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28
We consider the scattering of neutrons and photons on solid volume rectangular targets. It is common to treat this problem using the Maxwell Boltzmann Transport Equation and to use underlying symmetries to simplify the calculation. For isotropic scattering centers we can introduce a direct Fredholm integral equation approach to finding the flux. Here we compare a Monte Carlo evaluation of the resulting Fredholm equation to a deterministic iteration method of solution. We include a kernel based method for estimating the overall angular dependence. We find that for simple geometries utilized in studies of radiative dosimetry, of neutron shielding assessments, and indirectly of criticality that we get reasonably rapid convergence of flux and current values.