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

本项目发展了一个多尺度、波动平均、渐近的理论，用于研究海流和表面重力波的演变和相互作用，典型的分层海岸陆架水域。该理论将提供波、流和材料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，利用该模型可以计算模拟陆架动力学，而无需在典型的初级重力波振荡的短空间和时间尺度上解析流的特征。该模型旨在改进当前计算密集的近岸小尺度环流代码，同时比试图通过临时封闭假设参数化波浪效应的大尺度模型建立得更严格。这条研究路线的长期目标是创建一个现实的数值模拟器，地球科学社区可以用来研究典型的沿海和大陆架环境的地球物理问题：波/流气候学；海底床的演化与搬运；污染物的输送；迁移：现存种群的分散或保留；热和海水成分的循环；淡水流：淡水流进入海洋；以及人造结构的动力学。

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.