Fluid Structure Interaction for Applications in Mathematical Biology.

流体结构相互作用在数学生物学中的应用。

• 批准号: 2883565
• 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: 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-2883565
• 关键词: Fluid; Structure; Interaction; Applications; Mathematical

Topic areas I anticipate I would likely encounter in the course of this PhD are:(1) Discontinuous Galerkin variation Finite Element Methods; extending traditional Finite Element Methods by allowing for a non-conforming mesh. (2) C++ programming; writing object oriented program code to implement the Finite Element Methods together with any supporting functions such as report or plot output.(3) Scientific computation and numerical analysis; analysing results obtained from the Finite Element Method C++ program including error convergence and stability.(4) Modelling fluid flow and fluid structure interaction; predicting the effects of forces exerted between the fluids and their restraining walls.(5) Use of polytope elements; applying meshes to solids without losing information.(6) Application of a-posteriori error estimation; process of selecting particular elements for refinement to improve computational efficiency.

我预计我在博士课程中可能遇到的主题领域是：(1)不连续伽辽金变分有限元方法；通过允许非一致性网格扩展传统的有限元方法。(2) c++编程；编写面向对象的程序代码来实现有限元方法以及任何支持功能，如报告或绘图输出。(3)科学计算和数值分析；分析结果由有限元法c++程序得到，包括误差收敛性和稳定性。(4)流体流动与流固耦合建模；预测流体与其约束壁之间施加的力的影响。(5)多晶体元素的使用；将网格应用于实体而不丢失信息。(6)后验误差估计的应用；选择特定元素进行细化以提高计算效率的过程。