Richard Vasques


Assistant Professor of Nuclear Engineering

[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


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.

Cite

APA
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.

Chicago/Turabian
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
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.