Multiscale modelling of systems with complex microscale detail

具有复杂微尺度细节的系统的多尺度建模

• 批准号: DP180100050
• 负责人: Dr Judith Bunder
• 金额: $ 19.95万
• 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: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180100050
• 关键词: Multiscale; modelling; systems; complex; microscale

This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical methodology aims to efficiently and accurately extract and simulate the collective dynamics which emerge on macroscales, leading to improved prediction and understanding of the significant features of these complex systems at the scale relevant to engineers and scientists.

该项目旨在为具有微观不规则细节的系统的紧凑和准确的宏观建模开发系统的数学和计算方法。该方法，合理的数学分析和计算，使用粒子/代理模拟，偏微分方程（PDE），或差分方程的小突发，有效地预测宏观行为。该项目的数学方法旨在有效，准确地提取和模拟宏观尺度上出现的集体动态，从而改善对工程师和科学家相关规模的这些复杂系统的重要特征的预测和理解。