Discontinuous and Continuous Virtual Element Methods (VEM) for Robust Meshing and Modelling of Complex Geometries in Radiation Shielding Analysis and

用于辐射屏蔽分析和复杂几何形状的鲁棒网格划分和建模的不连续和连续虚拟元素方法 (VEM)

• 批准号: 2167030
• 金额: --
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2167030
• 关键词: Discontinuous; Continuous; Virtual; Element; Methods

Project Summary: This particular PhD projects involves the development of polygonal and polyhedral unstructured mesh virtual element methods for providing geometry conforming spatial discretisations of the steady-state neutron diffusion and neutron transport equation. These method will provide numerical robust discretisation which are able to solve partial differential equations on highly-distorted meshes. In addition these methods are very high-order accurate and more computationally efficient than conventional finite element based spatial discretisations. The application of these novel numerical schemes will be in the field of nuclear reactor physics and radiation shielding with particular relevance to modelling small modular reactors (SMRs) for naval propulsion and power generation.

项目概要：这个特殊的博士项目涉及多边形和多面体非结构化网格虚元方法的发展，提供几何形状符合空间离散的稳态中子扩散和中子输运方程。这些方法将提供数值鲁棒的离散化，能够在高度扭曲的网格上求解偏微分方程。此外，这些方法是非常高阶的准确性和计算效率比传统的有限元空间离散。这些新的数值方案的应用将在该领域的核反应堆物理和辐射屏蔽特别相关的小型模块化反应堆（SMR）的建模海军推进和发电。