Self-Adaptive, Parallel, Isogeometric Analysis (IGA) Using T-Splines and LR-B-Splines for the First-Order Form of the Neutron Transport Equation with

使用 T 样条和 LR-B 样条对中子输运方程的一阶形式进行自适应并行等几何分析 (IGA)

• 批准号: 1869743
• 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: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1869743
• 关键词: Self; Adaptive; Parallel; Isogeometric; Analysis

The aim of this PhD project is to develop novel, self-adaptive, parallel, IGA algorithms for application to reactor physics and radiation shielding problems using T-Spline and LR-B-Spline technology. More specifically these self-adaptive IGA algorithms will be applied to the first-order form of the neutron transport equation with discrete ordinate angular (SN) approximation and sweep based and diffusion synthetic acceleration (DSA) solver methods. IGA is a numerical technology that has been developed recently that takes the underlying Computer-Aided Design (CAD) geometry description, which are usually formed by Non-Uniform Rational B-Spline (NURBS) surface descriptors. This means one can perform design and analysis in one simple step and remove the requirement for an ancillary mesh generator. Moreover, these NURBS based approaches are exact descriptions of the underlying geometry.

这个博士项目的目的是开发新的、自适应的、并行的IGA算法，应用于反应堆物理和辐射屏蔽问题，使用T-Spline和LR-B-Spline技术。更具体地说，这些自适应IGA算法将应用于一阶形式的离散纵坐标(SN)近似的中子输运方程，以及基于扫描和扩散合成加速(DSA)的求解器方法。IGA是最近发展起来的一种数值技术，它采用计算机辅助设计(CAD)的底层几何描述，这些几何描述通常由非均匀有理B-Spline(NURBS)曲面描述符形成。这意味着人们可以在一个简单的步骤中执行设计和分析，并消除对辅助网格生成器的要求。此外，这些基于NURBS的方法是对底层几何体的精确描述。