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

CMG 合作研究：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: 0620832
• 负责人: Wooyoung Choi
• 金额: $ 28.65万
• 依托单位: New Jersey Institute of Technology
• 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 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0620832&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.

拟议的研究将开发一个有效而准确的理论模型，以研究大幅度内部孤立波的产生，传播和转化，而​​不是可变的底部地形，然后将所得的内波模型与改进的雷达成像模型整合在一起，以远程对这些强烈非线性内部波的表面签名的远程感知。在应用数学家与物理海洋学家之间的密切合作中，将通过从最近的/正在进行的/未来的现场活动和卫星雷达图像中收集的原位数据来验证模型预测。将实现欧拉方程的高精度数值集成，并将为一系列原型测试用例提供内部波模型的进一步交叉验证。具体而言，该研究活动将：（1）概括并改善新得出的第一原理模型，以描述在多层系统中传播的二维内部波，以近似连续密度分层传播； （2）用欧拉方程的完全非线性数值解验证模型，以实现多种关键的物理过程； （3）在可用的实验室实验和二维Navier-Stokes方程的新的直接数值模拟的指导下，通过内波破裂和底部摩擦结合了能量消散的新参数； （4）将耦合与表面特征和雷达反向散射的模型结合在一起，并将其与南中国海雷达数据进行比较； （5）为在南中国海的三组实地实验数据（Asiaex，Wise/Vans，Nliwi）验证模型的基础设定了基础，重点介绍了内部孤立波的起源和演变。这个高度的跨学科项目将为预测和监视海洋内部波动活动提供全面但实用的工具。由于仪器的技术改进，海洋动力学的这种组成部分最近变得更加可直接观察。有了这些进步，现在有可能欣赏到极端事件，例如大型内部波浪，幅度为140 m，在南中国海观察到的亚洲海洋国际声学实验（Asiaex）经常发生并持续发生巨大的能量，这些能量可以导致强大的潮流和随后的热量和随后的热量和其他海洋潮流和其他海洋潮流和其他海洋潮流。随着人类活动的扩展并越来越受到该系统的演变影响，对地球耦合海洋和大气系统的这些动力学特征的准确预测变得越来越重要。对该领域的未来研究人员的教育需要在数学和地球物理应用之间进一步复杂和信息流。提出的研究的更广泛影响将包括与该提案的建模和实验性PI密切接触的博士后，研究生和本科生的研究计划的培训和整合。除了通过期刊出版物以及参加会议和研讨会的参与之外，我们的发现和结果还将通过专门的网站提供给科学界。