Abstract Given the importance and complexity of the three-dimensional (3D) neutron transport equation solution, in the current research, a new Modular Ray Tracing (MRT) Algorithm and 3D characteristic kernel for heterogeneous structures are presented. Improvement of memory management and cache coherency are achieved to some acceptable level. Also, parallel implementation of transport algorithm utilizing OpenMP, cause significant reduction in runtime. To validate our Algorithm, first, a self-constituted pin cell and a lattice arrangement are modeled and results are compared with Monte-Carlo simulation. Second, the well-known 3D benchmark, Takeda model one and two, are investigated and results compared with the well-known MPACT code. Also, as a reliable trial, the obtained multiplication factors from the forward and adjoint form of MOC kernel are investigated. Meanwhile, for the multiplication factor, we achieved 3.5800E-04 and 3.3924E-04 | Δ k eff k eff | the difference with Takeda reference models one and two respectively. Also, the maximum speedup that our parallel algorithm gained for the Takeda benchmark is 5.13.

中文翻译：

---

在改进的特征方法 (MOC) 框架中为异构结构开发 3D 中子传输内核

摘要 鉴于三维（3D）中子输运方程解的重要性和复杂性，在当前的研究中，提出了一种新的模块化射线追踪（MRT）算法和异质结构的3D特征核。内存管理和缓存一致性的改进达到了一些可接受的水平。此外，利用 OpenMP 并行实现传输算法会导致运行时间显着减少。为了验证我们的算法，首先，对自构成的针单元和晶格排列进行建模，并将结果与​​蒙特卡罗模拟进行比较。其次，对著名的 3D 基准，Takeda 模型一和模型二进行研究，并将结果与​​著名的 MPACT 代码进行比较。此外，作为可靠的试验，研究了从 MOC 核的前向和伴随形式获得的乘法因子。同时，对于倍增因子，我们达到了 3.5800E-04 和 3.3924E-04 | Δ k eff k eff | 分别与武田参考模型一和二的区别。此外，我们的并行算法在武田基准测试中获得的最大加速比为 5.13。