Mathematical Sciences: Scientific Computation in Mechanics

数学科学：力学中的科学计算

• 批准号: 9105437
• 负责人: L. Ridgway Scott
• 金额: $ 19.5万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-08-15 至 1995-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9105437&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Scientific; Computation; Mechanics

An approach to scientific computation is proposed that incorporates research in numerical analysis, aspects of computer science, and solution of model problems in mechanics. Three research areas are the focus of the proposal: computational problems in incompressible fluid dynamics (including free-boundary problems, problems with variable density and high-order discretizations in three dimensions), computational chemistry (molecular dynamics simulations), and automated programming of scientific algorithms on parallel computers. The overall objective of the proposal is to improve the foundations for software for solving problems in science and technology that involve large scale, multidimensional models involving mechanics. The research will involve the development of new algorithms for several problems too difficult to solve by existing techniques. It will also include an analysis of each algorithm, yielding a rigorous justification that it accurately approximates the phenomena under study. Finally, the proposed research will involve prototype implementations of the algorithms in computer programs via techniques that can assure a robust and easliy maintained code. This research will improve computational modeling of many important industrial processes. One class involves such diverse things as making photographic film, sewing thread, extruded metals and Saran Wrap. Another involves biomedical applications, for example in the development of new pharmaceuticals. Another impacts the analysis of certain toxic gas spills.

提出了一种科学计算的方法， 结合了数值分析、计算机方面的研究 科学和力学模型问题的解决方案。 三 研究领域是提案的重点： 计算 不可压缩流体动力学问题（包括 自由边界问题，变密度问题， 三维高阶离散化），计算 化学（分子动力学模拟）和自动化 在并行计算机上编程科学算法。 的 该提案的总体目标是改善基础 用于解决科学和技术问题的软件， 涉及大规模、多维模型， 力学 这项研究将涉及开发新的 算法的几个问题太难解决， 现有技术。 它还将包括对每一个问题的分析。 算法，产生严格的理由，它准确地 近似研究中的现象。最后，建议 研究将涉及原型实现， 计算机程序中的算法， 确保一个健壮和易于维护的代码。 这项研究将改善许多计算模型 重要的工业过程。 一门课涉及如此多样的 如照相胶片、缝纫线、挤压成型等 金属和萨兰包装。 另一个涉及生物医学应用， 例如在新药开发中。 另一 影响了某些有毒气体泄漏的分析。