Finite element methods for Boltzmann neutron transport equation on polygonal and polyhedral meshes

多边形和多面体网格上玻尔兹曼中子输运方程的有限元方法

• 批准号: 2887026
• 金额: --
• 依托单位: University of Bath
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2887026
• 关键词: Finite; element; methods; Boltzmann; neutron

The design and safety studies of nuclear reactors require the solution of many multi-physics problems. This approximation is often prohibitively computationally expensive as it requires the coupling of complex neuronic and thermal hydraulic dynamics. New techniques that are both efficient and accurate need to be developed to meet the challenge.The goal of this PhD work is to conceive and develop numerical schemes to solve the Boltzmann equation for neutron transport on polygonal and polyhedral meshes within the context of finite element methods for the spatial discretisation and related techniques for other variables. Furthermore, this PhD work will also encompass research on graph algorithms for partitioning a set of ordered mech cells. The result; a fast algorithm to facilitate parallel computation.This project will be in partnership with the CEA (French Alternative Energies and Atomic Energy Commission).

核反应堆的设计和安全研究需要解决许多多物理问题。这种近似通常计算昂贵得令人望而却步，因为它需要复杂的神经元和热流体动力学的耦合。这项博士工作的目标是在空间离散的有限元方法和其他变量的相关技术的背景下，构思和开发在多边形和多面体网格上求解中子输运的Boltzmann方程的数值方案。此外，这项博士工作还将包括对划分一组有序机械单元的图算法的研究。这个项目将与法国替代能源和原子能委员会(CEA)合作。