Eventos Anais de eventos
ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
A NODAL METHOD FOR SOLVING THE TWO-DIMENSIONAL PARTICLE TRANSPORT EQUATION
Submission Author:
Solange Cromianski , RS
Co-Authors:
Liliane Barichello
Presenter: Solange Cromianski
doi://10.26678/ABCM.ENCIT2016.CIT2016-0101
Abstract
In this work, a two-dimensional neutron transport problem defined in a homogeneous medium is treated. The domain configuration is defined by a fixed source enclosed in a rectangular region surrounded by vacuum boundary conditions. A combination of nodal schemes with explicit solutions for the transverse-integrated equations, using the Analytical Discrete Ordinates (ADO) Method, is used to evaluate averaged scalar fluxes for regions of the domain. The unknown angular fluxes in the contours, that appear from the derivation of the nodal schemes, are added to the source term and differently of previous works, here those unknowns are approximated by three types of functions: constant, linear, and exponential. In addition, an alternative multidimensional quadrature scheme, named QR, was used to describe the discrete ordinates directions. Such scheme allows the use of higher-order approximations than the classic LQN (level symmetric) quadrature scheme. Numerical results obtained by the methodology, which may be used in radiative transfer applications, are presented and compared with the literature. In particular, the effects of the boundary fluxes approximations are analyzed.
Keywords
Two Dimensional Transport Equation, Discrete Ordinates, Nodal Schemes
