Neutronics Analysis of Fusion Blanket Based on the Spherical Harmonic Function and Finite Element Method

Kang Li, Liangzhi Cao, Jianxin Miao, Haotong Zhang, Tao Dai
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Abstract

The fusion neutronics simulation has been a great challenge to the numerical calculation of the neutron-transport equation. The key is how to deal with the features of fusion devices, such as large-scale, complex geometric models, large vacuum regions, etc. NECP-FISH, a code developed by Nuclear Engineering Computational Physics (NECP) laboratory of Xi'an Jiaotong University, is used to address this challenge. NECP-FISH adopts a deterministic numerical method instead of the Monte Carlo method because the deterministic numerical method is of higher computational efficiency and costs less computational time. To deal with large vacuum region, large-scale and complex geometric model, the first order neutron-transport equation is solved, the spherical harmonics function and the finite element method are applied to the expansion of angle and space. NECP-FISH has been validated by benchmark problems such as strong absorption problem, internal void problem, and Kobayashi series of problems. What’s more, NECP-FISH builds the user interface based on the platform SALOME so that users can visually build the necessary models for problems. NECP-FISH has been applied to the neutronics calculation of the breeder unit of Helium Cooling Ceramic Breeder (HCCB) and the blanket of CFETR. The numerical results demonstrate that the NECP-FISH code can efficiently solve the neutron transport problem of the fusion reactor.
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基于球谐函数和有限元法的熔覆层中子电子学分析
核聚变中子模拟对中子输运方程的数值计算提出了很大的挑战。关键是如何处理聚变装置的大规模、几何模型复杂、真空区域大等特点。由西安交通大学核工程计算物理(NECP)实验室开发的NECP- fish代码用于解决这一挑战。NECP-FISH采用确定性数值方法代替蒙特卡罗方法,因为确定性数值方法具有更高的计算效率和更少的计算时间。针对大真空区域、大尺度、复杂的几何模型,求解了一阶中子输运方程,应用球面谐波函数和有限元方法进行了角度和空间展开。通过强吸收问题、内空洞问题和Kobayashi系列问题等基准问题对NECP-FISH进行了验证。此外,NECP-FISH还建立了基于SALOME平台的用户界面,用户可以直观地为问题建立必要的模型。NECP-FISH已应用于氦冷却陶瓷增殖装置(HCCB)增殖单元和CFETR包层的中子计算。数值结果表明,NECP-FISH程序能够有效地求解聚变反应堆中子输运问题。
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