Advanced numerical methods for PDE constrained optimization with application to optimal design and control of a racing yacht in the America`s Cup

先进的偏微分方程约束优化数值方法及其在美洲杯赛艇优化设计和控制中的应用

• 批准号: 25596820
• 负责人: Professor Dr. Vincent Heuveline
• 金额: --
• 依托单位: Universitätsrechenzentrum
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/25596820?language=en
• 关键词: Advanced; numerical; methods; PDE; constrained

This project focuses on the development, analysis and implementation of efficient numerical optimization algorithms for the optimal design and control of a racing yacht in the America s Cup. The main goal of this project is the optimal design of the hull-keel-winglet configuration subject to constraints on the weight and structural strength in order to minimize the drag and control the wave generation at the water surface. This last issue leads to tracking type problems. The considered optimization problems involve very large and highly coupled system of PDE constraints. For the solution process the main emphasis is given to multilevel optimization, semismooth Newton and interior point strategies for inequality constraints, goal oriented adaptivity for the discretization, efficiency of the solver, and parallel processing. The link to the America s Cup occurs through the function of the first applicant as leader of the Scientific Advisory Board of the competing Shosholoza Team.

该项目的重点是开发，分析和实施有效的数值优化算法的优化设计和控制的一艘帆船在美洲杯。该项目的主要目标是在重量和结构强度的约束下优化设计船体-龙骨-小翼配置，以最大限度地减少阻力并控制水面的波浪生成。最后一个问题导致跟踪类型问题。所考虑的优化问题涉及非常大的和高度耦合的PDE约束系统。对于解决方案的过程中，主要强调的是多级优化，半光滑牛顿和内点策略的不等式约束，面向目标的自适应离散化，效率的求解器，和并行处理。与美洲杯的联系是通过第一位申请人作为竞争对手Shosholoza队科学顾问委员会主席的职能实现的。