کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10147932 1646506 2019 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Multi-PN approximation to neutron transport equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی انرژی مهندسی انرژی و فناوری های برق
پیش نمایش صفحه اول مقاله
The Multi-PN approximation to neutron transport equation
چکیده انگلیسی
The Multi-PN (MPN) approximation to the first-order neutron transport equation in one- and two-dimensional geometries is presented using a variational approach. The directional variations of the angular flux have been modeled by separate spherical harmonics expansions in M subdomains, while finite elements have been utilized to represent the spatial dependence. A straightforward procedure has been proposed to handle any order of discretized polynomial expansions in both isotropic and anisotropic scattering medium. A key problem with much of the literature regarding the full-range spherical harmonic method is that it cannot exactly describe the discontinuous nature of the angular flux. Thus, the use of customary expansions leads to substantial defect at boundary and interface of two distinct media (e.g. interface of fuel elements and moderators). The major contribution of the MPN discretization is a theory that overcomes these difficulties. The work represents the generalization of the Double-PN (DPN) approximation previously applied to the neutron transport equation. Numerical results in one- and two-dimensional problems compare MPN and customary PN calculations to the reference transport calculations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Progress in Nuclear Energy - Volume 110, January 2019, Pages 64-74
نویسندگان
, , ,