Real-time finite element method for interactive design

交互式设计的实时有限元方法

• 批准号: 2795756
• 金额: --
• 依托单位: University of Manchester
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2795756
• 关键词: Real; time; finite; element; method

The typical engineering design process is iterative and involves evaluating a set of "What if?" scenarios. For any component or assembly, this may involve making small changes to the geometry, selecting different materials, evaluating different types of fastenings or testing the response of the design to a range of boundary conditions. Furthermore, in safety critical applications, the design process may look beyond the newly manufactured component and predict safe working life, taking into account the effect of the accumulation of defects over time. Each individual scenario may be evaluated using a single finite element analysis. Using standard tools, the finite element solution process for each analysis usually restarts with a new set of equations. If one could design a novel numerical method to reuse the results of each previous analysis to speed up the solution of each subsequent analysis, we should be able to accelerate the process so that we can interactively modify and evaluate the design in real-time. This concept is called reanalysis and only a few researchers have looked into the topic. In this project, the starting point will be to investigate whether a common set of solution techniques, Krylov subspace solvers, can be adapted for reanalysis using machine learning techniques. The project will evaluate the new interactive reanalysis tool for the design of the plasma facing wall of a fusion reactor and/or similarly complex fusion reactor design challenges.

典型的工程设计过程是迭代的，并涉及评估一组“假设会怎样？”场景。对于任何部件或组件，这可能涉及对几何形状进行微小的改变、选择不同的材料、评估不同类型的紧固件或测试设计对一系列边界条件的响应。此外，在安全关键型应用中，设计过程可能会超越新制造的部件并预测安全工作寿命，同时考虑到缺陷随时间累积的影响。可以使用单个有限元分析来评估每个单独的场景。使用标准工具，每次分析的有限元求解过程通常会以一组新的方程重新开始。如果我们能够设计一种新颖的数值方法来重用之前每次分析的结果，以加快后续每次分析的求解速度，那么我们应该能够加速这一过程，以便我们可以交互式地实时修改和评估设计。这个概念称为重新分析，只有少数研究人员研究过该主题。在该项目中，起点将是研究一组通用的解决方案技术（Krylov 子空间求解器）是否可以适用于使用机器学习技术进行重新分析。该项目将评估新的交互式再分析工具，用于聚变反应堆等离子体面壁的设计和/或类似复杂的聚变反应堆设计挑战。