A new analytic solution of the one-speed neutron transport equation for adjacent half-spaces with isotropic scattering

作者：Smedley Stevenson Richard P^*

来源：Annals of Nuclear Energy, 2012, 46: 218-231.

DOI：10.1016/j.anucene.2012.03.034

• Chandrasekhar's H-function
• Implicit Monte Carlo
• Adjacent half-spaces

This paper derives a new analytic solution of the one-speed neutron transport equation for two isotropically scattering half-spaces, where each half-space has its own isotropic internal source. The constant source problem has been studied previously by Auerbach (1961), and this analysis has been generalised to consider a source whose strength varies linearly with position. This problem arises in connection with assessing the accuracy of linear treatments of the thermal emission source in Monte Carlo thermal radiation transport algorithms. Simple expressions for the angular flux at the interface as well as its zeroth and first moments are provided as a function of the scattering ratios in the two half-spaces.

• 出版日期2012-8