[J14] A spectral approach for solving the nonclassical transport equation


Journal article


Richard Vasques, Leonardo R. C. Moraes, Ricardo Carvalho de Barros, Rachel N. Slaybaugh
Journal of Computational Physics, vol. 402(-), 2020, p. 109078


Cite

Cite

APA
Vasques, R., Moraes, L. R. C., de Barros, R. C., & Slaybaugh, R. N. (2020). [J14] A spectral approach for solving the nonclassical transport equation. Journal of Computational Physics, 402(-), 109078.

Chicago/Turabian
Vasques, Richard, Leonardo R. C. Moraes, Ricardo Carvalho de Barros, and Rachel N. Slaybaugh. “[J14] A Spectral Approach for Solving the Nonclassical Transport Equation.” Journal of Computational Physics 402, no. - (2020): 109078.

MLA
Vasques, Richard, et al. “[J14] A Spectral Approach for Solving the Nonclassical Transport Equation.” Journal of Computational Physics, vol. 402, no. -, 2020, p. 109078.


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.