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为了克服经典扩散理论在描述输运问题上的局限性,本文从一种特殊形式的中子角分布通量出发,导出了多群中子渐近扩散方程和与之相应的限流方法。对于纯散射介质,限流渐近扩散理论与现已提出的几种典型的限流扩散理论一致。对于非纯散射介质,它给出了具有渐近扩散理论精度的结果。这种方法保留了经典扩散理论的简便性,提高了用扩散型方程近似描述输运问题的精度。
In order to overcome the limitations of classical diffusion theory in describing transport problems, this paper derives the asymptotic diffusion equation of multiple groups of neutrons and the corresponding current-limiting method based on a special form of flux distribution of neutron angles. For purely diffuse media, the current-limited asymptotic diffusion theory is consistent with several typical current-limited diffusion theories that have been proposed. For impure scattering media, it gives the result with theoretical accuracy of asymptotic diffusion. This method retains the simplicity of the classical diffusion theory and improves the accuracy of approximating the transport problem using a diffusion equation.