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

本计画将探讨解流体力学流动与输运方程式之可扩充平行演算法。 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。 数学模型将以用于地表高程的广义波动连续性方程、用于速度场的非保守形式动量方程和用于迁移的对流扩散方程为基础。将研究其他数值求解技术，如混合有限元法。 研究分为五个阶段。 第一阶段将使用区域分解结合现有的流体动力学模型，以实现并行。 在第二阶段，将通过探索专门设计用于充分利用并行硬件的新算法来实现并行性，例如，区域分解技术 结合第二阶段，第三阶段将通过将更多的物理学纳入控制方程来扩展代码功能。 例如，将增加斜压项，它解释了密度变化引起的驱动力，以便模拟淡水/盐水相互作用。 第四阶段将根据实地数据和分析解决方案严格测试和验证模型。 在第五阶段，该守则将分发给学术界、咨询界和工业界的用户，用于研究敏感沿海生态系统的淡水流量要求等专题。

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.