Academic Journal

A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation.

التفاصيل البيبلوغرافية
العنوان: A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation.
المؤلفون: Cromianski, S.R.1, Barichello, L.B.1,2, Rui, K.3
المصدر: Progress in Nuclear Energy. Jan2019, Vol. 110, p354-363. 10p.
مصطلحات موضوعية: *ENERGY transfer, *DISCRETE ordinates method in transport theory, *NODAL planes, *NUCLEAR energy, *NEUTRON transport theory
مستخلص: Abstract When deriving nodal methods, the known process of transverse integration introduces additional unknowns to the problem, related to the leakage terms. Additional auxiliary equations must be proposed in order to close the system and to allow its solution. In this work, a study on approximations to those unknowns, fluxes on the contours of the nodes, is carried out. In particular, two-dimensional fixed-source problems are analyzed. Therefore, three alternative proposals of approximations are considered: constant, linear and exponential functions. Such approaches are employed along with of the ADO method, which is used to solve the one-dimensional transversely integrated equations. Numerical results for section averaged scalar fluxes are presented and compared with other nodal schemes, showing some differences among the various approximations, mainly for coarse meshes, although satisfactory comparisons are achieved in the source region. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:01491970
DOI:10.1016/j.pnucene.2018.09.006