Career: Research Plan: Simulation of Surface Waterflow and Transport in a Parallel Computing Environment Teaching Plan: Engineering Futures and Engineering Education

这个项目将研究可扩展的并行算法来解决流体动力流动和输运方程。算法研究将在各种平台上实现，包括工作站集群和大规模并行系统。数学模型将基于地表高程的广义波动连续性方程，速度场的动量方程的非保守形式，以及输运的平流扩散方程。替代数值解决技术，如混合有限元方法，将被研究。研究分为五个阶段。第一阶段将结合现有的流体动力学模型使用区域分解来实现并行。在第二阶段，并行性将通过探索专门为充分利用并行硬件而设计的新算法来实现，例如，域分解技术。与第二阶段相结合，第三阶段将通过在控制方程中加入更多物理来扩展代码功能。例如，考虑到密度变化的驱动力的斜压项将被添加进去，这样就可以模拟淡水/盐水的相互作用。第四阶段将根据现场数据和分析解决方案严格测试和验证模型。在第五阶段，守则将分发给学术界、咨询界和工业界的用户，用于研究主题，例如敏感沿海生态系统的淡水流量需求。

This project will investigate scalable parallel algorithms for the solution of the hydrodynamic flow and transport equations. The algorithms studies will be implemented on a variety of platforms, including clusters of workstations and massively parallel systems. The mathematical model will be based on the generalized wave continuity equation for surface elevation, the non-conservative form of the momentum equations for the velocity field, and the advection-diffusion equation for transport. Alternative numerical solution techniques, such as mixed finite element methods, will be investigated. There are five phases to the research. The first phase will use domain decomposition in conjunction with an existing hydrodynamic model to achieve parallelism. In the second phase, parallelism will be realized by exploring new algorithms specifically designed to take full advantage of parallel hardware, e.g., domain decomposition techniques. In conjunction with the second phase, a third phase will expand the codes capabilities by incorporating more physics into the governing equations. For example, baroclinic terms, which account for driving forces due to density variations, would be added so that simulations of, say fresh water/salt water interactions could be modeled. The fourth phase will rigorously test and validate the model against field data and analytical solutions. In the fifth phase, the code will be disseminated to users in academia, consulting, and industry, where it will be used to research topics, such as freshwater flow requirements in sensitive coastal ecosystems.