Dr. Leonardo Moraes - An improved spectral approach for solving the

Journal article

L. R. C. Moraes, J. K. Patel, R. C. Barros, R. Vasques
J. Quant. Spectrosc. Radiat. Transfer, Pergamon, 2022 Jun, p. 108282

DOI: 10.1016/j.jqsrt.2022.108282

Cite

APA Click to copy
Moraes, L. R. C., Patel, J. K., Barros, R. C., & Vasques, R. (2022). An improved spectral approach for solving the nonclassical neutral particle transport equation. J. Quant. Spectrosc. Radiat. Transfer, 108282. https://doi.org/10.1016/j.jqsrt.2022.108282

Chicago/Turabian Click to copy
Moraes, L. R. C., J. K. Patel, R. C. Barros, and R. Vasques. “An Improved Spectral Approach for Solving the Nonclassical Neutral Particle Transport Equation.” J. Quant. Spectrosc. Radiat. Transfer (June 2022): 108282.

MLA Click to copy
Moraes, L. R. C., et al. “An Improved Spectral Approach for Solving the Nonclassical Neutral Particle Transport Equation.” J. Quant. Spectrosc. Radiat. Transfer, Pergamon, June 2022, p. 108282, doi:10.1016/j.jqsrt.2022.108282.

BibTeX Click to copy

@article{moraes2022a,
  title = {An improved spectral approach for solving the nonclassical neutral particle transport equation},
  year = {2022},
  month = jun,
  journal = {J. Quant. Spectrosc. Radiat. Transfer},
  pages = {108282},
  publisher = {Pergamon},
  doi = {10.1016/j.jqsrt.2022.108282},
  author = {Moraes, L. R. C. and Patel, J. K. and Barros, R. C. and Vasques, R.},
  month_numeric = {6}
}

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.