Flow structures and transport: predictability and control. Moving flow structures (the boundary of an eddy, the flow interface between two fluids) are crucial in fluid mixing and in the transport of heat, pollutants and nutrients. This project will analyse their roles in improving predictions of spreading extents and rates for geophysical-scale problems, and in controlling transport at the micro-scale. Inaccuracies in currently available numerical diagnostics for transport prediction will be com ....Flow structures and transport: predictability and control. Moving flow structures (the boundary of an eddy, the flow interface between two fluids) are crucial in fluid mixing and in the transport of heat, pollutants and nutrients. This project will analyse their roles in improving predictions of spreading extents and rates for geophysical-scale problems, and in controlling transport at the micro-scale. Inaccuracies in currently available numerical diagnostics for transport prediction will be comprehensively evaluated via comparison with recent exact models. Analytical methods for quantifying transport under unsteady flow protocols will be developed, and used to answer questions on controlling transport in microfluidic applications in conjunction with experimentalists.Read moreRead less
Complex Multiscale Systems: Modeling, Analysis and Scientific Computation. This project aims to develop and implement a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. The wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or partial differential equations or la ....Complex Multiscale Systems: Modeling, Analysis and Scientific Computation. This project aims to develop and implement a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. The wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or partial differential equations or lattice equations). Comprehensively accounting for multiscale interactions between subgrid processes among macroscale variations ensures stability and accuracy. Based on dynamical systems theory and analysis, this approach is expected to empower systematic analysis and understanding for optimal macroscopic simulation for forthcoming exascale computing.Read moreRead less