Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations. Issue 4 (19th September 2018)

• Record Type: Journal Article
• Authors: Makine, I.; Vasques, R.; Slaybaugh, R. N.
• Is Part Of: Journal of computational and theoretical transport. Volume 47:Issue 4/6(2018)
• Page Start: 326
• Page End: 349
• Publication Date: 2018-09-19
• Subjects: Diffusion equation -- transport equation -- nonclassical transport -- Monte Carlo method; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2018.1496938
• Languages: English
• ISSNs: 2332-4309

Abstract

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 P N equations. Numerical results are presented for four sets of problems in slab geometry.