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
J. Comput. Phys., vol. 402, Academic Press, 2020 Feb, p. 109078
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APA
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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
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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
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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.
