Collaborative Research: Towards an Accurate, High-Fidelity Modeling System for Multiphysics and Multiscale Coastal Ocean Flows

与全球变暖和人类活动在沿海沃茨的快速扩张相对应，现在迫切需要将我们的建模能力提高到直接、高保真模拟许多新兴的、真实世界的、多物理场的、多尺度的沿海海洋流动问题的水平。这些问题的例子包括在海洋底部的石油泄漏，在沿海沃茨的潮汐能提取等，目前，基本上没有在这个级别的模拟模型。本项目的目标是发展计算方法和一个前所未有的计算机模拟系统，它不仅适用于这些问题，而且也是研究许多其他问题的新平台，特别是通过区域分解和双向耦合将地球物理流体动力学模型和全三维流体动力学模型集成到一个单一的模拟系统中，前者捕获中尺度[O（10）km - O（10，000）km]的背景海流，后者解决次中尺度[O（1）m - O（10）km]的复杂局部现象。该目标将通过三个任务来实现：1）关于解的精度、计算效率和传输条件的方法和算法。2)数值实验的方法和算法，他们在测试问题的验证，并展示应用程序。3)开发强大、高效的建模系统软件包。教育部分的目的是提高学生，特别是代表性不足群体的学生对新的计算问题和解决这些问题的新方法的必要性的认识，激发他们对数值算法和模型开发的兴趣。这一部分的活动包括一系列研讨会、编写教材等。

In correspondence with global warming and fast expansion of human activities in coastal waters, it is now becoming urgently needed to advance our modeling capabilities to a level of direct, high-fidelity simulation of many emerging, real-world, multiphysics, multiscale coastal ocean flow problems. Examples of these problems include oil spill at bottom of oceans, tidal energy extraction in coastal waters, etc. Currently, essentially there is no model at this level of simulation. The objective of this project is to develop computational methods and an unprecedented computer modeling system, which will be not only applicable to such problems but also a new platform to study many other problems.In particular, a geophysical fluid dynamics model and a fully 3D fluid dynamics model are integrated via domain decomposition and two-way coupling into a single modeling system, in which the former captures mesoscale [O(10) km - O(10,000) km], background ocean currents and the latter resolves sub-mesoscale [O(1) m - O(10) km], complicated, local phenomena. The objective will be realized via three tasks: 1) Methods and algorithms with regard to solution accuracy, computational efficiency, and transmission condition. 2) Numerical experiments on the methods and algorithms, their validation in test problems, and a showcase application. 3) Development of a robust, efficient software package of the modeling system. The educational component aims at increasing awareness of students, especially those from underrepresented groups, on new computational problems and necessity for new methods of their solution, stimulating their interest in numerical algorithms and model development. The activities of this component include a series of seminars, teaching material development, etc.