"CMG Collaborative Research": A Systematic Approach to Large Amplitude Internal Wave Dynamics: An Integrated Mathematical, Observational, and Remote Sensing Model

“CMG 协作研究”：大振幅内波动力学的系统方法：综合数学、观测和遥感模型

• 批准号: 0620687
• 负责人: Roberto Camassa
• 金额: $ 15.3万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2010-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0620687&HistoricalAwards=false
• 关键词: CMG; Collaborative; Research; Systematic; Approach

The proposed research will develop an effective and accurate theoretical model to investigate the generation, propagation, and transformation of large amplitude internal solitary waves over variable bottom topography, and then integrate the resulting internal wave model with an improved radar imaging model for remote sensing of the surface signatures of these strongly nonlinear internal waves. In close collaboration between applied mathematicians and physical oceanographers, model predictions will be validated with in-situ data collected from recent/on-going/future field campaigns and satellite radar images. High accuracy numerical integration of the Euler equations will be implemented and will offer further cross verification of the internal wave model for a series of prototypical test cases. Specifically, this research activity will: (1) generalize and improve newly derived first principle models to describe two-dimensional internal waves propagating in a multi-layer system approximating continuous density stratification; (2) verify the models with fully nonlinear numerical solutions of the Euler equations for several crucial physical processes; (3) incorporate new parameterizations of energy dissipation by internal wave breaking and bottom friction, guided by available laboratory experiments and new direct numerical simulations of the two-dimensional Navier-Stokes equations; (4) incorporate coupling with models for surface signatures and radar backscatter, and compare these with South China Sea radar data; and (5) set the basis for the validation of the models with three sets of field experimental data (ASIAEX, WISE/VANS, NLIWI) in the South China Sea focusing on genesis and evolution of internal solitary waves. This highly interdisciplinary project will provide a comprehensive but practical tool for predicting and monitoring internal wave activity in the ocean. Such a component of ocean dynamics has recently become more accessible to direct observation thanks to technological improvements in instrumentation. With these advances, it is now possible to appreciate that extreme events, such as the large internal waves with amplitudes of up to 140 m observed in the South China Sea by the Asian Seas International Acoustics Experiment (ASIAEX), occur frequently and carry tremendous energy which can result in, among other things, the generation of strong currents and ensuing mixing and distribution of heat and other ocean tracers. Accurate prediction of these dynamical features of the earth coupled ocean and atmosphere system is becoming more and more important as human activity expands and is increasingly affected by, and affects, the evolution of this system. The education of future researchers in this area requires further sophistication and flow of information between the mathematical and geophysical application. The broader impact of the research proposed will include training and integration into the research program of postdoctoral, graduate, and undergraduate students, in close contact with both the modeling and the experimental PIs of the proposal. Our findings and results will be made available to the scientific community through a dedicated website, besides the classical channels of dissemination through journal publications and participation to conferences and seminars.

本研究将建立一个有效、准确的理论模型来研究大振幅内孤立波在不同海底地形上的产生、传播和转换，然后将得到的内波模型与改进的雷达成像模型相结合，用于遥感这些强非线性内波的表面特征。在应用数学家和物理海洋学家之间的密切合作下，将利用从最近/正在进行/未来的实地活动和卫星雷达图像收集的现场数据验证模式预测。将实现欧拉方程的高精度数值积分，并将为一系列原型测试用例提供内波模型的进一步交叉验证。具体而言，本研究活动将：(1)推广和改进新导出的第一性原理模型，以描述在近似连续密度分层的多层系统中传播的二维内波；(2)用几个关键物理过程的欧拉方程的全非线性数值解验证模型；(3)在现有实验室实验和二维Navier-Stokes方程直接数值模拟的指导下，引入新的内波破碎和底摩擦能量耗散参数化；(4)结合地面特征和雷达后向散射耦合模型，并与南海雷达数据进行比较；(5)利用ASIAEX、WISE/VANS、NLIWI三组南海内孤立波发生演化的野外实验数据，为模型的验证奠定基础。这个高度跨学科的项目将为预测和监测海洋内波活动提供一个全面而实用的工具。由于仪器技术的改进，海洋动力学的这一组成部分最近变得更容易直接观测。有了这些进展，我们现在可以认识到极端事件，如亚洲海洋国际声学实验（ASIAEX）在南中国海观测到的振幅高达140米的大内波，频繁发生并携带巨大能量，除其他外，这可能导致强洋流的产生，以及随后的热量和其他海洋示踪剂的混合和分布。随着人类活动的扩大以及人类活动对海、大气耦合系统演化的影响越来越大，准确预测海、大气耦合系统的这些动力特征变得越来越重要。未来研究人员在这一领域的教育需要进一步的复杂性和信息流之间的数学和地球物理的应用。提议的研究的更广泛影响将包括培养和整合博士后、研究生和本科生的研究计划，与提议的建模和实验pi密切联系。除了通过期刊出版物和参加会议和研讨会等传统传播渠道外，我们的发现和结果将通过一个专门的网站向科学界公布。