Richard Vasques

Assistant Professor of Nuclear Engineering

[J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations

Journal article

Leonardo R.C. Moraes, Richard Vasques, Ricardo C. Barros
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 295(-), 2023, p. 108407
DOI: 10.1016/j.jqsrt.2022.108407
Cite

Cite

APA
Moraes, L. R. C., Vasques, R., & Barros, R. C. (2023). [J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations. Journal of Quantitative Spectroscopy and Radiative Transfer, 295(-), 108407.

Chicago/Turabian
Moraes, Leonardo R.C., Richard Vasques, and Ricardo C. Barros. “[J19] On the Occurrence of Linearly Dependent Eigenvectors in Nonclassical Transport Calculations.” Journal of Quantitative Spectroscopy and Radiative Transfer 295, no. - (2023): 108407.

MLA
Moraes, Leonardo R. C., et al. “[J19] On the Occurrence of Linearly Dependent Eigenvectors in Nonclassical Transport Calculations.” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 295, no. -, 2023, p. 108407.

ABSTRACT:  Described here is the occurrence of linearly dependent eigenvectors in the analytical solution of the spectral approximation of the nonclassical transport equation in the discrete ordinates (SN) formulation. To our knowledge, this characteristic does not arise in the analytical solution of the classical SN transport equations. Therefore, classical deterministic analytically-based methods need to be modified when applied to nonclassical transport calculations in order to address this issue.
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