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的和准确的理论模型，调查的产生，传播和变换的大振幅内孤立波在可变的底部地形，然后将所得的内波模型与改进的雷达成像模型，遥感这些强非线性内波的表面签名。在应用数学家和物理海洋学家的密切合作下，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型预测。将对欧拉方程进行高精度数值积分，并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，这项研究活动将：（1）推广和改进新导出的第一原理模型，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）用欧拉方程的完全非线性数值解验证模型，以解决几个关键的物理过程;（3）在现有的实验室试验和二维Navier-Stokes方程的新的直接数值模拟的指导下，引入内波破碎和底摩擦能量耗散的新参数化;（4）将模式与海面特征和雷达后向散射模式耦合，并与南海雷达资料进行比较;（5）利用南海3组野外实验资料（ASIAEX、WISE/VANS、NLIWI）对模式进行验证，重点研究内孤立波的成因和演变。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。由于仪器的技术改进，海洋动力学的这一组成部分最近更容易直接观测。有了这些进展，现在可以认识到，极端事件，例如亚洲海洋国际声学实验在南中国海观测到的振幅高达140米的大型内波，经常发生，并携带巨大的能量，除其他外，可能导致强海流的产生，并随后混合和分布热量和其他海洋示踪物。随着人类活动的不断扩大，地球耦合海气系统的演化越来越受到人类活动的影响，对地球耦合海气系统动力学特征的准确预报也越来越重要。未来研究人员在这一领域的教育需要进一步的复杂性和数学和地球物理应用之间的信息流。拟议研究的更广泛影响将包括培训和整合到博士后，研究生和本科生的研究计划中，与提案的建模和实验PI密切联系。除了通过期刊出版物和参加会议和研讨会的传统传播渠道外，我们的发现和结果将通过一个专门的网站提供给科学界。