Dr. Leonardo Moraes - The Multigroup Spectral Deterministic Method for

Journal article

Amaury Munoz Oliva, Hermes Alves Filho, Carlos Rafael Garcia Hernandez, Leonardo Rodrigues da Costa Moraes
Revista Cereus, vol. 12, 2020 Jul, pp. 277--291

DOI: 10.18605/2175-7275/cereus.v12n2p277-291

Cite

APA Click to copy
Oliva, A. M., Filho, H. A., Hernandez, C. R. G., & da Costa Moraes, L. R. (2020). The Multigroup Spectral Deterministic Method for SN Neutron Transport Theory in Slab Geometry, Anisotropic Scattering with Fixed-Source Problems. Revista Cereus, 12, 277–291. https://doi.org/10.18605/2175-7275/cereus.v12n2p277-291

Chicago/Turabian Click to copy
Oliva, Amaury Munoz, Hermes Alves Filho, Carlos Rafael Garcia Hernandez, and Leonardo Rodrigues da Costa Moraes. “The Multigroup Spectral Deterministic Method for SN Neutron Transport Theory in Slab Geometry, Anisotropic Scattering with Fixed-Source Problems.” Revista Cereus 12 (July 2020): 277–291.

MLA Click to copy
Oliva, Amaury Munoz, et al. “The Multigroup Spectral Deterministic Method for SN Neutron Transport Theory in Slab Geometry, Anisotropic Scattering with Fixed-Source Problems.” Revista Cereus, vol. 12, July 2020, pp. 277–91, doi:10.18605/2175-7275/cereus.v12n2p277-291.

BibTeX Click to copy

@article{oliva2020a,
  title = {The Multigroup Spectral Deterministic Method for SN Neutron Transport Theory in Slab Geometry, Anisotropic Scattering with Fixed-Source Problems.},
  year = {2020},
  month = jul,
  journal = {Revista Cereus},
  pages = {277--291},
  volume = {12},
  doi = {10.18605/2175-7275/cereus.v12n2p277-291},
  author = {Oliva, Amaury Munoz and Filho, Hermes Alves and Hernandez, Carlos Rafael Garcia and da Costa Moraes, Leonardo Rodrigues},
  month_numeric = {7}
}

Abstract

A new approach for the development of a numerical method of spectral nodal class for the solution of multigroup, anisotropic slab geometry, discrete ordinates transport problems with fixed-source is analyzed in this paper. The method, denominated Spectral Deterministic Method (SDM), is based on the spectral analysis of the neutron transport equations in the formulation of discrete ordinates (SN). The unknowns in the methodology are the cell-edge, and cell average angular fluxes, the numerical values computed for these quantities concur with the analytic solution of the discrete ordinate’s equation. Numerical results are given and compared with the traditional fine-mesh DD method, the spectral nodal method, spectral Green’s function (SGF) and the FN method to illustrate the method’s numerical accuracy.