The Nodal LTSN Solution and a New Approach to Determine the Outgoing Angular Flux at the Boundary in a Rectangular Domain

A. R. Parigi (), C. F. Segatto (), B. E. J. Bodmann () and F. C. da Silva
Additional contact information
A. R. Parigi: Federal Institute of Education, Science and Technology Farroupilha
C. F. Segatto: Federal University of Rio Grande do Sul
B. E. J. Bodmann: Federal University of Rio Grande do Sul
F. C. da Silva: Federal University of Rio de Janeiro

Chapter Chapter 19 in Integral Methods in Science and Engineering, 2022, pp 277-289 from Springer

Abstract: Abstract In this work, we present the Nodal LTS N 2D solution using a new approach to determine the unknown but necessary angular fluxes at the domain boundaries. We consider the two-dimensional neutron transport problem in a Cartesian geometry and take into account isotropic scattering in a piecewise homogeneous rectangular medium, with either vacuum or reflective boundary conditions. In order to estimate the unknown fluxes at the boundary, we make use of the LTS N 1D solution applied to a set of one-dimensional problems across the two-dimensional domain. To this end, the original problem was approximated by segmenting the total domain into a finite set of subdomains with sufficiently small width so that within each subdomain a one-dimensional neutron transport problem may be considered. Then the unknown angular fluxes at the boundaries may be obtained from the LTS N solution together with the “DNI” technique (Dummy-Node Inclusion) applied to each one-dimensional problem. The numerical results obtained are presented and compared with the ones obtained by the DD method (Diamond Difference).

Date: 2022
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-07171-3_19

Ordering information: This item can be ordered from
http://www.springer.com/9783031071713

DOI: 10.1007/978-3-031-07171-3_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().