CAREER: Physically-Based Approach to Geometric Problems in Engineering Design and Analysis

CAREER基金为计算工程领域的行业需求、学术研究和教育项目提供了桥梁，特别是设计方案的快速生成和评估。该项目旨在提供学术界的行业需求：(1)研究新的计算方法，可以大大改善设计和分析过程；(2)教育项目，为学生提供对现代计算工具基础理论的严格理解。提出的研究将侧重于扩展基于物理的方法的理论和应用，以解决当前设计和分析周期中的瓶颈几何问题，如有限元网格生成，表面圆角和参数化设计。拟议中的教育努力将使学生在当前从绘图和计算机为基础的工程向计算机集成工程的转变中成为领导者。这一教育目标将通过建立两个独特的学术课程来实现，一个本科辅修课程和一个以工业为导向的计算工程研究生学位。提出的研究应导致：(1)发展基于物理的方法的更基本的理论，(2)探索工程中可以通过基于物理的方法有效解决的其他几何问题，以及(3)创建一种方法，将基于物理的方法与更传统的方法结合起来。拟议的新学术课程将提高学生对现代计算工具中使用的基本理论和方法的理解。由于这些计算工具的功能和它们在工业中使用的方式随着新的研究成果而不断快速变化，因此提出的整合研究和教育的方法将有助于促进工业和学术界之间更紧密的联系。

This CAREER grant provides funding for the effort to bridge industry demand and academic research and education programs in the area of computational engineering, in particular the rapid generation and evaluation of design alternatives. The project aims to provide what industry needs from academia: (1) research on new computational methods that can improve design and analysis processes drastically; and (2) educational programs that will provide students with a rigorous understanding of the underlying theories of modern computational tools. The proposed research will focus on expanding the theories and applications of a physically-based method of solving the geometric problems that are currently bottlenecks in the design and analysis cycle, such as finite element mesh generation, surface filleting, and parametric design. The proposed education effort will prepare students to become leaders in the current transformation from drawing-and-calculator-based engineering to computer-integrated engineering. This educational goal will be achieved by establishing two unique academic programs, an undergraduate minor and an industry-oriented graduate degree in computational engineering.The research proposed should lead to: (1) development of more fundamental theories of the physically-based approach, (2) exploration of other geometric problems in engineering that can be effectively solved by the physically-based approach, and (3) creation of a methodology to unite the physically-based approach with more conventional approaches. The proposed new academic programs will enhance students' understanding of the underlying theories and methodologies used in modern computational tools. Because the functionality of these computational tools and the ways they are utilized in industry are changing rapidly and constantly with new research results, the proposed approach to integrating research and education will help foster closer ties between industry and academia.