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Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations
Journal of Computational and Theoretical Transport ( IF 0.7 ) Pub Date : 2018-10-26 , DOI: 10.1080/23324309.2018.1496938
I. Makine 1, 2 , R. Vasques 3 , R. N. Slaybaugh 4
Affiliation  

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.



中文翻译:

古典和非古典简化P N方程的精确输运表示

我们表明,最近引入的非经典简化的P N方程可以由非经典输运方程精确表示。此外,我们通过证明适当的非指数自由路径分布函数进行的蒙特卡洛传输码采样重现了经典和非经典简化P N方程的解,从而验证了该理论。给出了针对板几何的四组问题的数值结果。

更新日期:2018-10-26
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