کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5478197 1521738 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An extended half-range spherical harmonics method for first-order neutron transport equation based on variational treatment
ترجمه فارسی عنوان
یک روش هارمونیک کروی نیمه محدوده گسترده برای معادله انتقال نوترون درجه اول بر اساس درمان متنوع
موضوعات مرتبط
مهندسی و علوم پایه مهندسی انرژی مهندسی انرژی و فناوری های برق
چکیده انگلیسی
A new variational approach with anisotropic scattering kernel for first order neutron transport equation based on Finite Element Method (FEM) and Double-PN (DPN) approximation has been introduced. In presented variational principle, the angular dependence of the neutron flux has been separated into two sub-ranges of the forward and backward moving particles. The applied boundary conditions for the DPN method are straightforward in comparison to the conditions for the PN method. The method has also been extended for 2D plane geometry by using extended half-range spherical harmonics method. By defining a new variational principle, the discontinuity of angular flux on the boundary surface has been treated. A new computing program has been developed, to calculate the angular flux by this method which has the capability to solve neutron transport equation by arbitrary DPN approximation in 1D anisotropic scattering media. Moreover, by investigating extended half-range spherical harmonics method, the program has been developed for 2D geometry. The efficacy of the method is assessed by comparing the required order of angular expansion which is necessary to achieve fine results in several benchmarks. The results demonstrate the superiority of the method against traditional PN method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Progress in Nuclear Energy - Volume 100, September 2017, Pages 389-405
نویسندگان
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