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AF: Small: Collaborative Research: A Robust Framework for Overcoming the Tangled Mesh Problem

AF：小型：协作研究：克服网格缠结问题的稳健框架

基本信息

批准号：
1717894
负责人：
Suzanne Shontz
金额：
$ 25万
依托单位：
University of Kansas Center for Research Inc
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2017
资助国家：
美国
起止时间：
2017-08-01 至 2021-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1717894&HistoricalAwards=false
关键词：
AF Small Collaborative Research Robust

项目摘要

Engineers rely heavily on computer simulation to design and create products. A critical part of computer simulation is mesh generation, where a virtual model of, say an aircraft landing-gear, is divided into a large number of simpler shapes, such as triangles, squares, and cubes. Unfortunately, for complex models, these simple shapes can get 'entangled' and overlap, which can lead to erroneous simulation results. This project will address this long-standing problem by developing: (1) new simulation methods that can work with a mildly tangled mesh, and (2) new methods of 'untangling' bad tangles. The project will have a significant impact on simulation in disciplines from biomechanics to manufacturing, and the team will create software for release to the scientific community. The PIs will create teaching modules to excite young students on the interconnectivity between meshes, scientific computing, and engineering. Both universities will host outreach activities on computer simulation for K-12 students, including underrepresented minority students.This project will develop a novel finite-cell simulation method to compute accurate results on tangled meshes that avoid certain types of explicit tangling. Therefore, in parallel, a new class of nonlinear optimization methods will be developed to handle tangling in quadrilateral, hexahedral, and high-order meshes that are significantly more difficult to untangle; the aim is to handle any input mesh by untangling until a numerically correct simulation can be guaranteed. The viability of this unified and robust framework will be demonstrated through targeted applications.

工程师严重依赖计算机模拟来设计和制造产品。计算机模拟的一个关键部分是网格生成，其中将飞机起落架等虚拟模型划分为大量更简单的形状，例如三角形、正方形和立方体。不幸的是，对于复杂的模型，这些简单的形状可能会“纠缠”和重叠，从而导致错误的模拟结果。该项目将通过开发以下方法来解决这个长期存在的问题：（1）可以处理轻度缠结网格的新模拟方法，以及（2）“解开”不良缠结的新方法。该项目将对从生物力学到制造等学科的模拟产生重大影响，该团队将创建向科学界发布的软件。 PI 将创建教学模块，以激发年轻学生对网格、科学计算和工程之间的互连性的兴趣。两所大学都将为 K-12 学生（包括代表性不足的少数族裔学生）举办计算机模拟推广活动。该项目将开发一种新颖的有限单元模拟方法来计算缠结网格的准确结果，从而避免某些类型的显式缠结。因此，同时将开发一类新的非线性优化方法来处理四边形、六面体和高阶网格中的缠结，这些网格的缠结明显更难解开；目的是通过解开来处理任何输入网格，直到可以保证数值正确的模拟为止。这个统一而强大的框架的可行性将通过有针对性的应用程序得到证明。