CGV: Large: Collaborative Research: Coupling Simulation and Mesh Generation using Computational Topology

CGV：大型：协作研究：使用计算拓扑进行耦合仿真和网格生成

• 批准号: 1314813
• 负责人: Tamar Shinar
• 金额: $ 35万
• 依托单位: University of California-Riverside
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-08-01 至 2018-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1314813&HistoricalAwards=false
• 关键词: CGV; Large; Collaborative; Research; Coupling

Many simulation algorithms depend on an underlying spatial discretization---a mesh that decomposes the domain into a finite set of elements that can be analyzed by a computer. The quality of the simulation is, in part, determined by the quality of the mesh. However, in the past, mesh generation and simulation were done as separate processes. Better results can be achieved by tightly integrating simulation with mesh generation and recent advices in computational topology provide the key to doing so. Computational topology allows for the analysis of the structure of data---in this case simulation variables. By understanding the structure of the simulation the mesh generation algorithms can adapt to it, providing meshes that are closely linked to the actual simulation.Because simulation is a powerful tool for discovery throughout computational science, this research has the potential to have broad impact across all fields of science and enable new scientific breakthroughs that could have tremendous societal impact. This research will also produce open-source software, short courses, and workshops around the topic of coupling simulation and meshing. The interdisciplinary nature of this project will lead to a rich educational and research environment for graduate and undergraduate students. The project web site provides access to research results, software and educational materials (http://sealab.cs.utah.edu/SimulationMeshingTopology).

许多仿真算法取决于基本的空间离散化 - 将域分解为有限的元素集的网格，这些元素可以通过计算机分析。 模拟的质量部分取决于网格的质量。 但是，过去，网格生成和仿真是作为单独的过程进行的。 通过将模拟与网格生成紧密整合，计算拓扑的最新建议可以实现更好的结果。 计算拓扑允许分析数据的结构 - 在这种情况下，在这种情况下为仿真变量。 通过了解模拟的结构，网格生成算法可以适应它，提供与实际仿真密切相关的网格。由于模拟是整个计算科学中发现的强大工具，这项研究有可能在所有科学领域都产生广泛的影响，并在所有科学领域都产生广泛的影响，并启用了可能产生巨大社会影响的新科学突破。 这项研究还将生产围绕模拟和网格界主题的开源软件，短课程和讲习班。该项目的跨学科性质将为研究生和本科生提供丰富的教育和研究环境。该项目网站可访问研究结果，软件和教育材料（http://sealab.cs.utah.edu/simulationMeshingTopology）。