CMG: Renormalized Numerical Simulation (RNS) - Analytical, Computational and Statistical Tools for Modeling Complex Multiscale Flows in the Geosciences

CMG：重正化数值模拟 (RNS) - 用于模拟地球科学中复杂多尺度流的分析、计算和统计工具

• 批准号: 0222238
• 负责人: Charles Meneveau
• 金额: $ 58万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-09-01 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0222238&HistoricalAwards=false
• 关键词: CMG; Renormalized; Numerical; Simulation; RNS

This project involves a novel approach to the representation of sub-grid scale physics based on the assumption that there is self-similarity between the unresolved scales and the finest scales resolved. Computational geometry techniques will be used to represent structures seen in the resolved scales; optimization techniques will be used to quantify the relation between similar structures at different scales; finally self-similarity will be used to extrapolate these structures to unresolved scales. The techniques developed will be tested by applying them to two classes of dynamical simulations. The first is airflow over rough terrain and the second is groundwater transport in complex porous media. The work is a collaboration between mathematicians and scientists working in the area of environmental fluid mechanics. It will offer interdisciplinary research training, bridging mathematics, computational science and geophysical fluid flow, to graduate students.

该项目涉及一种基于未解析尺度和最精细尺度之间存在自相似性的假设来表示子网格尺度物理的新方法。计算几何技术将用于表示在解决尺度中看到的结构；优化技术将用于量化不同尺度下相似结构之间的关系；最后，自相似性将用于将这些结构外推到未解决的尺度。所开发的技术将通过将其应用于两类动态模拟来进行测试。一是粗糙地形上的气流，二是复杂多孔介质中地下水的运移。这项工作是在环境流体力学领域工作的数学家和科学家之间的合作。它将为研究生提供跨学科的研究培训，桥梁数学，计算科学和地球物理流体流动。