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On the Convergence of the Multi-group Isotropic Neutron LTS N Nodal Solution in Cartesian Geometry

In: Integral Methods in Science and Engineering

Author

Listed:
  • E. B. Hauser

    (Pontifical Catholic University of Rio Grande do Sul)

  • R. P. Pazos

    (University of Santa Cruz do Sul)

  • M. T. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

The discrete ordinate nodal approach (nodal SN approximation) is presented in the context of neutron transport. Here an analytical method, the LTSN nodal approach is presented for the transverse integrated multi-group neutron transport equation in a multidimensional Cartesian geometry domain. The resulting coupled system of one-dimensional SN equations for the average angular fluxes are solved by the Laplace Transform technique (LT SN method). We present convergence analysis of the nodal method.

Suggested Citation

  • E. B. Hauser & R. P. Pazos & M. T. Vilhena, 2013. "On the Convergence of the Multi-group Isotropic Neutron LTS N Nodal Solution in Cartesian Geometry," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Haroldo F. de Campos Velho (ed.), Integral Methods in Science and Engineering, edition 127, chapter 0, pages 183-193, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_13
    DOI: 10.1007/978-1-4614-7828-7_13
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