Modeling, Mathematical Analysis, and Computation of Multiscale Systems

多尺度系统的建模、数学分析和计算

• 批准号: DP200103097
• 负责人: Prof Anthony Roberts
• 金额: $ 35.81万
• 依托单位: The University of Adelaide
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2020
• 资助国家: 澳大利亚
• 起止时间: 2020-02-17 至 2024-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP200103097
• 关键词: Modeling; Mathematical; Analysis; Computation; Multiscale

This project develops and implements a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. Our wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or PDE or lattice equations). Comprehensively accounting for multiscale interactions between subgrid processes among macroscale variations ensures stability and accuracy. Based on dynamical systems theory and analysis, our approach will empower systematic analysis and understanding for optimal macroscopic simulation for forthcoming exascale computing.

该项目开发并实施了一种系统的方法，包括分析和计算，以提取复杂物理和工程系统的紧凑，准确的系统级模型。 我们广泛的方法是围绕精细尺度，微观，详细描述动力系统（粒子或分子模拟，或PDE或晶格方程）构建计算效率高的“包装器”。综合考虑宏观尺度变化中次网格过程之间的多尺度相互作用，确保了稳定性和准确性。基于动力系统理论和分析，我们的方法将使系统的分析和理解，为即将到来的exascale计算的最佳宏观模拟。