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。这种近似通常在计算上是昂贵的，因为它需要复杂的神经元和热液压动力学的耦合。既有高效又准确的新技术以应对挑战。该博士学位工作的目的是构思和开发数值方案，以在多边形和多面体网格上求解Boltzmann方程，以在多边形和多面体网格上进行有限元元素的背景，以用于空间元素和相关技术的其他变量。此外，该博士学位工作还将涵盖用于分区一组有序的机械单元的图形算法的研究。结果；快速算法以促进并行计算。该项目将与CEA（法国替代能源和原子能委员会）合作。