Mixing and transport in water bodies

水体中的混合过程涉及各种大小尺度的现象。在“小”尺度上，如排水口，旋转效应不显著，而在大尺度上，旋转效应很重要。在大尺度上，如“五大湖”和海洋问题，科里奥利效应可以发挥重要作用。混合过程的数值模拟是一个具有挑战性的问题，无论是从数值方面还是从建模策略。获得更快和更准确的方法来改进模拟是数值模拟界的最大利益。拟建的研究项目旨在基于申请人在高性能计算和流体力学方面的背景，开发准确有效的模拟水资源流动和混合过程的工具。在本研究中，申请人最近提出的新的，高精度的时间和空间数值方法的自由表面流动将扩展到三维模拟混合过程。此外，申请人在模拟湍流浮力出口方面的最新进展将扩展到更实际的情况，并将进一步研究自由表面过程（如波浪）对混合的影响。在更大的尺度上，波浪和湍流的相互作用发生在科里奥利效应下，这一效应尚未得到很好的理解。这些相互作用的正确模拟对于海洋模拟和气候变化模拟至关重要。申请人还研究了小尺度湍流中海洋射流等大尺度流动的产生，并提出了相应的数值方法，本研究项目将对其进行进一步拓展和研究

Mixing processes in water bodies involves various phenomena at small and large scales. At "small" scales such as outfalls, rotation effects are not significant while at large scales they are important. At large scales such as "Great Lakes" and oceanic problems, Coriolis effect can play an important role. Numerical simulation of mixing processes is a challenging issue, both from numerical aspects and from modelling strategies. It is in the best interest of the numerical modelling community to obtain faster and more accurate methods to improve simulations. The proposed research program is aimed at the development of accurate and efficient tools for simulating flow and mixing processes in water resources, based on the applicant's background in high-performance computing and fluid mechanics. In this research, the new, highly accurate temporal and spatial numerical methods recently proposed by the applicant for free surface flows will be extended to simulate mixing processes in three dimensions. Moreover, recent developments by the applicant in modeling turbulent buoyant outfalls will be expanded to more practical cases and the impact of free surface processes such as waves on mixing will be further examined. At larger scales, interaction of waves and turbulence occurs under the Coriolis effect, which is not yet well understood. Correct modelling of these interactions is crucial for ocean modelling and simulation of climate changes. The emergence of large-scale flows such as oceanic jets from small-scale turbulence has been also studied by the applicant, and appropriate numerical methods have been also proposed, which will be further expanded and studied in this research program.**