Dr. Leonardo Moraes - A spectral approach for solving the nonclassical

Journal article

R. Vasques, L. R. C. Moraes, R. C. Barros, R. N. Slaybaugh
J. Comput. Phys., vol. 402, Academic Press, 2020 Feb, p. 109078

DOI: 10.1016/j.jcp.2019.109078

Cite

APA Click to copy
Vasques, R., Moraes, L. R. C., Barros, R. C., & Slaybaugh, R. N. (2020). A spectral approach for solving the nonclassical transport equation. J. Comput. Phys., 402, 109078. https://doi.org/10.1016/j.jcp.2019.109078

Chicago/Turabian Click to copy
Vasques, R., L. R. C. Moraes, R. C. Barros, and R. N. Slaybaugh. “A Spectral Approach for Solving the Nonclassical Transport Equation.” J. Comput. Phys. 402 (February 2020): 109078.

MLA Click to copy
Vasques, R., et al. “A Spectral Approach for Solving the Nonclassical Transport Equation.” J. Comput. Phys., vol. 402, Academic Press, Feb. 2020, p. 109078, doi:10.1016/j.jcp.2019.109078.

BibTeX Click to copy

@article{vasques2020a,
  title = {A spectral approach for solving the nonclassical transport equation},
  year = {2020},
  month = feb,
  journal = {J. Comput. Phys.},
  pages = {109078},
  publisher = {Academic Press},
  volume = {402},
  doi = {10.1016/j.jcp.2019.109078},
  author = {Vasques, R. and Moraes, L. R. C. and Barros, R. C. and Slaybaugh, R. N.},
  month_numeric = {2}
}

Abstract

This paper introduces a mathematical approach that allows one to numerically solve the nonclassical transport equation in a deterministic fashion using classical numerical procedures. The nonclassical transport equation describes particle transport for random statistically homogeneous systems in which the distribution function for free-paths between scattering centers is nonexponential. We use a spectral method to represent the nonclassical flux as a series of Laguerre polynomials in the free-path variable s, resulting in a nonclassical equation that has the form of a classical transport equation. We present numerical results that validate the spectral approach, considering transport in slab geometry for both classical and nonclassical problems in the discrete ordinates formulation.