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: DP220103156
• 负责人: Dr Judith Bunder
• 金额: $ 27.01万
• 依托单位: University of South Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-06-01 至 2026-05-31
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP220103156
• 关键词: Multiscale; modelling; systems; complex; microscale

In modern science and engineering many complex systems are described by distinctly different microscale physical models within different regions of space. This project is to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling and computation of such systems for application in industrial research and development. Our sparse simulations, justified with mathematical analysis, use small bursts of particle/agent simulations, PDEs, or difference equations, to efficiently evaluate macroscale system-level behaviour. The objective is to accurately interface between disparate microscale models and establish provable predictions on how the microscale parameter spaces resolve at the macroscale.

在现代科学和工程中，许多复杂系统在不同的空间区域内由明显不同的微尺度物理模型描述。该项目旨在为此类系统的紧凑和准确的宏观建模和计算开发系统的数学和计算方法，以应用于工业研究和开发。我们的稀疏模拟，合理的数学分析，使用粒子/代理模拟，偏微分方程，或差分方程的小突发，有效地评估宏观系统级的行为。目标是在不同的微尺度模型之间精确地接口，并建立关于微尺度参数空间如何在宏观尺度上解决的可证明的预测。