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

In: Integral Methods in Science and Engineering

Author

Listed:
  • 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)

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).

Suggested Citation

  • A. R. Parigi & C. F. Segatto & B. E. J. Bodmann & F. C. da Silva, 2022. "The Nodal LTSN Solution and a New Approach to Determine the Outgoing Angular Flux at the Boundary in a Rectangular Domain," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 277-289, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07171-3_19
    DOI: 10.1007/978-3-031-07171-3_19
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