Collaborative Research: CMG: Mathematical Theory and Modeling of Wave-Current Interaction

合作研究：CMG：波流相互作用的数学理论和建模

• 批准号: 0327617
• 负责人: Juan Restrepo
• 金额: --
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2009-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0327617&HistoricalAwards=false
• 关键词: Collaborative; Research; CMG; Mathematical; Theory

This project develops a multi-scale, fluctuation-averaged, asymptotic theory for the evolution and interaction of currents and surface gravity waves, typical of stratified coastal shelf waters. The theory will provide a picture of how waves, currents, and materials interact on large spatio-temporal scales. The theory will also yield a practical three-dimensional model with which shelf dynamics may be computationally simulated without the necessity of resolving features of the flow on the short space and time scales typical of the primary gravity-wave oscillations. The model aims to improve on the current computationally intensive near-shore small-scale circulation codes, while being founded more rigorously than large-scale models that attempt to parameterize wave effects through ad hoc closure hypotheses.The long term goal of this line of research is the creation of a realistic numerical simulator the geoscience community can use to study geophysical problems typical of the coastal and shelf environments: wave/current climatology; the evolution and transport of sea floor beds; the transport of pollutants; the dispersal or retention of living populations; the circulation of heat and ocean water constituents; the intrusion of a fresh water river plume into the ocean; and the dynamics of man-made structures.

本项目为分层沿海陆架沃茨的海流和表面重力波的演变和相互作用发展了一种多尺度、波动平均、渐近理论。 该理论将提供一幅关于波、流和物质如何在大的时空尺度上相互作用的图景。 该理论还将产生一个实用的三维模型，该模型可以计算模拟大陆架的动态，而不需要在主重力波振荡的典型的短空间和时间尺度上解决流动的特征。 该模型旨在改进目前计算密集的近岸小尺度环流代码，同时比试图通过特设闭合假设来参数化波浪效应的大尺度模型更严格地建立。这一研究路线的长期目标是创建一个现实的数值模拟器，地球科学界可以使用它来研究沿海和大陆架环境的典型地球物理问题：海洋学的研究领域包括：海洋学;海洋学;波浪/海流气候学;海底床的演变和迁移;污染物的迁移;生物种群的扩散或保留;热量和海水成分的循环;淡水河流羽流侵入海洋;以及人造结构的动力学。