# Richard Vasques

Assistant Professor of Nuclear Engineering

# [J18] An improved spectral approach for solving the nonclassical neutral particle transport equation

### Journal article

Leonardo R.C. Moraes, Japan K. Patel, Ricardo C. Barros, Richard Vasques
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 490(-), 2022, p. 108282

Cite

### Cite

APA
Moraes, L. R. C., Patel, J. K., Barros, R. C., & Vasques, R. (2022). [J18] An improved spectral approach for solving the nonclassical neutral particle transport equation. Journal of Quantitative Spectroscopy and Radiative Transfer, 490(-), 108282.

Chicago/Turabian
Moraes, Leonardo R.C., Japan K. Patel, Ricardo C. Barros, and Richard Vasques. “[J18] An Improved Spectral Approach for Solving the Nonclassical Neutral Particle Transport Equation.” Journal of Quantitative Spectroscopy and Radiative Transfer 490, no. - (2022): 108282.

MLA
Moraes, Leonardo R. C., et al. “[J18] An Improved Spectral Approach for Solving the Nonclassical Neutral Particle Transport Equation.” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 490, no. -, 2022, p. 108282.

ABSTRACT:  An improved modification of the Spectral Approach (SA) used for approximating the nonclassical neutral particle transport equation is described in this work. The term “Spectral” is used to indicate that the nonclassical angular flux is approximated as an expansion in terms of spectral basis functions. In the SA the basis functions are the Laguerre polynomials. The main focus of the modified SA lies on a slight modification of the nonclassical angular flux representation as a truncated Laguerre series. This leads, in some cases, to a considerable decrease of the Laguerre truncation order required to generate accurate solutions, thus improving efficiency. Numerical results are given to illustrate this offered improvement.

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