Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad)

辐射传输数学理论：核技术前沿（MaThRad）

• 批准号: EP/W026899/1
• 负责人: Andreas Kyprianou
• 金额: $ 764.7万
• 依托单位: University of Bath
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FW026899%2F1
• 关键词: Mathematical; Theory; Radiation; Transport; Nuclear

Nuclear technology is, by definition, based around the principle of subatomic physics and the interaction of radiation particles with materials. Whilst the microscopic behaviour of such systems is well understood, the degree of inhomogeneity involved means that the ability to predict the flux of particles through complex physical environments on the macroscopic (human) scale is a significant challenge. This lies at the heart of how we design, regulate and operate some of the most important technologies for the twenty-first century. This includes building new reactors (fission and fusion), decommissioning old ones, medical radiation therapy, as well as opening the way forward into space technologies through e.g. the development of space-bound mini-reactors for off-world bases and protection for high-tech equipment exposed to high-energy radiation such as satellites and spacesuits. Accurate prediction of how radiation interacts with surrounding matter is based on modelling through the so-called Boltzmann transport equation (BTE). Many of the existing methods used in this field date back decades and rely on principles of simulated (e.g. neutron) particle counting obtained by Monte Carlo and other numerical methods. Input from the mathematical sciences community since the 1980s has been limited. In the meantime, various mathematical theories have since emerged that present the opportunity for entirely new approaches. Together with powerful modern HPC and smarter algorithms, they have the capacity to handle significantly more complex scenarios e.g. time dependence, rare-event sampling and variance reduction as well as multi-physics modelling.This five-year interdisciplinary programme of research will combine modern mathematical methods from probability theory, advanced Monte Carlo methods and inverse problems to develop novel approaches to the theory and application of radiation transport. We will pursue an interactive exploration of foundational, translational and application-driven research; developing predictive models with quantifiable accuracy and software prototypes, ready for real-world implementation in the energy, healthcare and space nuclear industries. This programme grant will unite complementary research groups from mathematics, engineering and medical physics, leading to sustained critical mass in academic knowledge and expertise. Through a diverse team of researchers, we will lead advances in radiation modelling that are disruptive to the current paradigm, ensuring that the UK is at the forefront of the 21st century nuclear industry.

根据定义，核技术是基于亚原子物理学原理以及辐射颗粒与材料的相互作用的。尽管已经充分了解了这种系统的微观行为，但涉及的不均匀性程度意味着，在宏观（人）尺度上预测颗粒通过复杂物理环境的通量的能力是一个重大挑战。这是我们如何设计，调节和运营二十一世纪最重要的技术的核心。这包括构建新的反应堆（裂变和融合），退役旧反应器，医疗放射疗法，以及通过例如通过例如。开发用于偏离世界基地的空间小型反应器的开发，并针对暴露于高能辐射的高科技设备（例如卫星和太空服）的保护。准确预测辐射如何与周围物质相互作用是基于通过所谓的玻尔兹曼传输方程（BTE）建模的。该字段中使用的许多现有方法可以追溯到几十年代，并依赖于蒙特卡洛和其他数值方法获得的模拟原理（例如中子）粒子计数。自1980年代以来，数学科学社区的输入受到限制。同时，此后出现了各种数学理论，为全新的方法提供了机会。与强大的现代HPC和更智能的算法一起，它们有能力处理更复杂的场景，例如时间依赖性，稀有事实抽样和差异减少以及多物理模型。这项五年的研究跨学科计划将结合概率理论，先进的蒙特卡洛方法和反问题的现代数学方法，以开发出新的方法来开发辐射运输理论和应用。我们将对基础，转化和应用驱动的研究进行互动探索；开发具有可量化准确性和软件原型的预测模型，准备在能源，医疗保健和太空核行业中实施现实世界。该计划赠款将团结数学，工程和医学物理学的互补研究小组，从而导致学术知识和专业知识的持续关键质量。通过一个多元化的研究人员团队，我们将领导对当前范式破坏的辐射建模的进步，以确保英国处于21世纪核工业的最前沿。

项目成果

Yaglom limit for critical nonlocal branching Markov processes

• DOI: 10.1214/22-aop1585
• 发表时间: 2022-11
• 期刊: The Annals of Probability
• 作者: S. Harris;E. Horton;A. Kyprianou;Minmin Wang

A nodally bound-preserving finite element method

一种节点守界有限元方法

• DOI: 10.1093/imanum/drad055
• 发表时间: 2023
• 期刊: IMA Journal of Numerical Analysis
• 影响因子: 2.1
• 作者: Barrenechea G

Enhancing landslide predictability: Validating geophysical surveys for soil moisture detection in 2D and 3D scenarios

增强滑坡的可预测性：验证 2D 和 3D 场景中土壤湿度检测的地球物理调查

• DOI: 10.1016/j.jsames.2023.104664
• 发表时间: 2023
• 期刊: Journal of South American Earth Sciences
• 影响因子: 1.8
• 作者: Bortolozo C