[J12] Exact transport representations of the classical and nonclassical simplified PN equations

Journal article

Ilker Makine, Richard Vasques, Rachel N. Slaybaugh
Journal of Computational and Theoretical Transport, vol. 47(4-6), 2018, pp. 326-349

DOI: 10.1080/23324309.2018.1496938

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APA Click to copy
Makine, I., Vasques, R., & Slaybaugh, R. N. (2018). [J12] Exact transport representations of the classical and nonclassical simplified PN equations. Journal of Computational and Theoretical Transport, 47(4-6), 326–349. https://doi.org/10.1080/23324309.2018.1496938

Chicago/Turabian Click to copy
Makine, Ilker, Richard Vasques, and Rachel N. Slaybaugh. “[J12] Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations.” Journal of Computational and Theoretical Transport 47, no. 4-6 (2018): 326–349.

MLA Click to copy
Makine, Ilker, et al. “[J12] Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations.” Journal of Computational and Theoretical Transport, vol. 47, no. 4-6, 2018, pp. 326–49, doi:10.1080/23324309.2018.1496938.

BibTeX Click to copy

@article{ilker2018a,
  title = {[J12] Exact transport representations of the classical and nonclassical simplified PN equations},
  year = {2018},
  issue = {4-6},
  journal = {Journal of Computational and Theoretical Transport},
  pages = {326-349},
  volume = {47},
  doi = {10.1080/23324309.2018.1496938},
  author = {Makine, Ilker and Vasques, Richard and Slaybaugh, Rachel N.}
}

ABSTRACT: We show that the recently introduced nonclassical simplified PN equations can be represented exactly by a nonclassical transport equation. Moreover, we validate the theory by showing that a Monte Carlo transport code sampling from the appropriate nonexponential free-path distribution function reproduces the solutions of the classical and nonclassical simplified PN equations. Numerical results are presented for four sets of problems in slab geometry.