ITR: Multiscale Analysis, Modeling, and Simulation

ITR：多尺度分析、建模和仿真

• 批准号: 0204932
• 负责人: Jerrold Marsden
• 金额: $ 315万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-10-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0204932&HistoricalAwards=false
• 关键词: ITR; Multiscale; Analysis; Modeling; Simulation

ITR: Multi-scale Analysis, Modeling, and SimulationThis proposal will operate in the context of the Caltech Center for Integrative Multi-scale Modeling and Simulation (CIMMS) whose purpose is to develop, and foster multi-scale innovations in a wide range of areas spanning the physical, mathematical, information, and computational sciences. It provides the infrastructure that allows for the mix of domain experts from fluids, materials and geophysics with specialists in mathematical and computational analysis. This proposal aims to:1. Develop fundamental insights into multi-scale interactions, especially the coarse graining of dynamics and how they affect the accuracy of naive coarse-scale simulations; 2. Assemble existing ideas about multi-scale interactions scattered across a wide range of disciplines into a coherent whole, ready for broad dissemination;3. Codify and develop systematic techniques to accurately model and simulate across space and time scales;4. To test them systematically in a wide range of important scientific settings;5. Develop and distribute software and associated infrastructure supporting the rapid and thorough diffusion of these techniques;6. Raise consciousness among scientists, engineers, educators, and society in general about the importance of accurate physical modeling, the fundamental role of the multi-scale hierarchy as an obstacle to naive modeling and the existence of powerful ideas and convenient tools available to scale the hierarchy.Overarching Research Themes. Two key themes cut across and unifying the scientific research: modeling across scales, and multi-scale algorithms. They reflect two groups of researchers: those developing modeling techniques to get the physics and computations right across scales and those who develop the computational and information technology infrastructure, including algorithms and other mathematical tools, such as ridgelets and curvelets. The first years will concentrate on macromolecules and crystalline materials, and imaging and data analysis. In future years, other areas may be included, such as geophysics, space sciences and additional topics in biology, all of which present challenging multi-scale problems.

ITR：多尺度分析、建模和仿真该提案将在加州理工学院综合多尺度建模和仿真中心 (CIMMS) 的背景下运作，其目的是在广泛的领域开发和促进多尺度创新涵盖物理、数学、信息和计算科学。它提供的基础设施允许流体、材料和地球物理学领域的专家与数学和计算分析领域的专家相结合。本提案的目的是： 1．深入了解多尺度相互作用，特别是动力学的粗粒度以及它们如何影响朴素粗尺度模拟的准确性； 2. 将分散在多个学科中的有关多尺度相互作用的现有想法整合成一个连贯的整体，为广泛传播做好准备；3.编纂和开发系统技术，以跨空间和时间尺度准确建模和模拟；4。在广泛的重要科学环境中系统地测试它们；5。开发和分发支持这些技术快速、彻底传播的软件和相关基础设施；6．提高科学家、工程师、教育工作者和整个社会对准确物理建模的重要性、多尺度层次结构作为简单建模障碍的基本作用以及可用于扩展层次结构的强大想法和便捷工具的认识.总体研究主题。两个关键主题贯穿并统一了科学研究：跨尺度建模和多尺度算法。它们反映了两组研究人员：一组开发建模技术以在不同尺度上正确地进行物理和计算，另一组开发计算和信息技术基础设施，包括算法和其他数学工具，例如脊线和曲线。第一年将集中于大分子和晶体材料以及成像和数据分析。未来几年，可能会包括其他领域，例如地球物理学、空间科学和生物学的其他主题，所有这些都提出了具有挑战性的多尺度问题。