Adapting For Moving Boundary Problems

适应移动边界问题

• 批准号: 2281593
• 金额: --
• 依托单位: University of Nottingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2281593
• 关键词: Adapting; Moving; Boundary; Problems; Adapting; Moving; Boundary; Problems

This project aims at developing and analysing robust and efficient numerical techniques for the solution of moving boundary problems. Recent Finite Element approaches (Virtual Element Methods, discontinuous Galerkin Methods) based on very general meshes will be exploited in an adaptive fashion. Mesh flexibility permits effective resolution of complex geometries, particularly in presence of moving domains. In addition, general mesh elements permit local resolution of moving boundaries/interfaces without the need of a priori fitted meshes. Examples of important applications that will be considered include moving interface problems and fluid-structure interaction problems.One important aspect which will be thoroughly investigated is the incorporation of the adaptive framework within Lagrangian-type mesh-node movement for problems on moving domains/expansion phenomena.

该项目旨在开发和分析用于解决边界问题的解决方案的鲁棒和有效的数值技术。最新的有限元方法（虚拟元素方法，不连续的Galerkin方法）将以非常通用的网格方式进行自适应方式。网格柔韧性允许有效解决复杂的几何形状，特别是在移动域的存在下。此外，通用网格元素允许局部解决移动边界/接口，而无需先验拟合的网格。将要考虑的重要应用程序的示例包括移动界面问题和流体结构相互作用问题。将彻底研究的重要方面是将自适应框架纳入拉格朗日型网状节点在移动域/扩展现象上的问题。