A Spatial Characteristic Scheme for Multigroup Discrete Ordinates Electron Energy Deposition in Two Dimensions

Abstract

Energy deposition calculations are performed due to an incident source of electrons in rectangular slab geometry using the method of discrete ordinates for directions and the multigroup treatment in energy. Using the restricted stopping power formalism to distinguish between large energy loss collisions (catastrophic) and small energy loss collisions (continuous), coupled with a second-order differencing scheme in energy, an improved model of electron energy loss is incorporated in our computational model. Results are presented for isotropic and normal incident sources and compared with available results.

Monte Carlo modeling for intravascular brachytherapy sources

“…Morel, Lorence and their collegues (Morel, 1979; Morel and Wienke, 1982;Lorence, Nelson, and Morel, 1985;Lorence, Morel, and Valdez, 1989a, 1989bLorence, 1992; Lorence and Morel, 1992) developed a reasonably successful one-dimensional calculation involving complex numerical procedures using carefully prepared scattering matrices. Work on multi-dimensional treatments is reported by Fillipone et al (1990), , , Datta and Ray (1993), and Drumm (1997). These deterministic calculations have the advantage of producing results free of statistical fluctuations, but are subject to approximations used in the calculations and to some numerical artifacts.…”