The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of transport problems. Its central idea is to explore a quasi Monte Carlo integration within the classical source iteration technique. It preserves the main characteristics of the discrete ordinates method, but it has the advantage of providing mitigated ray effect solutions. The QRDOM is discussed in details for applications to one-group transport problems with isotropic scattering in rectangular domains. The method is tested against benchmark problems for which DOM solutions are known to suffer from the ray effects. The numerical experiments indicate that the QRDOM provides accurate results and it demands less discrete ordinates per source iteration when compared against the classical DOM.

翻译：本文提出准随机离散纵标法（QRDOM）用于逼近传输问题。其核心思想是在经典源迭代技术中引入拟蒙特卡洛积分。该方法保留了离散纵标法的基本特征，但具有缓解射线效应的优势。详细讨论了QRDOM在矩形域内含各向同性散射的单群传输问题中的应用。针对已知离散纵标法解易受射线效应影响的基准问题进行方法验证。数值实验表明，与经典离散纵标法相比，QRDOM能提供精确结果，且每次源迭代所需离散纵标数量更少。