This paper presents hybrid numerical techniques for solving the Boltzmann transport equation formulated by means of low-order equations for angular moments of the angular flux. The moment equations are derived by the projection operator approach. The projected equations are closed exactly using a high-order transport solution. The low-order equations of the hybrid methods are approximated with a finite volume scheme of the second-order accuracy. Functionals defining the closures in the discretized low-order equations are calculated by Monte Carlo techniques. In this study, we analyze effects of statistical noise and discretization error on the accuracy of the hybrid transport solution.

翻译：本文提出了混合数值技术，用于求解由角通量角矩低阶方程表述的玻尔兹曼输运方程。矩方程通过投影算子方法推导得出，并利用高阶输运解精确闭合投影方程。混合方法的低阶方程采用二阶精度有限体积格式进行近似。离散化低阶方程中定义闭合项的函数由蒙特卡罗技术计算。本研究分析了统计噪声和离散化误差对混合输运解精度的影响。