Advanced matrix-analytic methods with applications. Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of stochastic models. Motivated by applications, this project will investigate more advanced matrix-analytic methods than have hitherto been studied.
Managing Fresh-Water Resources in Saline Environments. Australian industry and urban developments often rely on a secure supply of fresh water. In many situations, the fresh water occurs adjacent to large expanses of saline water. This poses special constraints on how the fresh water can be recovered. This project undertakes careful mathematical modelling of fresh water recovery from reservoirs and from within islands (where it may be the only practical source of drinking water). The injecti ....Managing Fresh-Water Resources in Saline Environments. Australian industry and urban developments often rely on a secure supply of fresh water. In many situations, the fresh water occurs adjacent to large expanses of saline water. This poses special constraints on how the fresh water can be recovered. This project undertakes careful mathematical modelling of fresh water recovery from reservoirs and from within islands (where it may be the only practical source of drinking water). The injection and extraction of ground water in novel "mineral leaching" mining technology will also be investigated.Read moreRead less
An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Prediction of radiated noise from marine propellers. Underwater noise radiated from marine vessels is a significant problem for research, fishing and military vessels, and is a major source of pollution in the marine environment. The major source contributing to underwater noise is due to the propeller. This work will develop numerical models with experimental validation that can accurately predict the sources of noise generated by marine propellers and acoustic signatures of marine vessels due ....Prediction of radiated noise from marine propellers. Underwater noise radiated from marine vessels is a significant problem for research, fishing and military vessels, and is a major source of pollution in the marine environment. The major source contributing to underwater noise is due to the propeller. This work will develop numerical models with experimental validation that can accurately predict the sources of noise generated by marine propellers and acoustic signatures of marine vessels due to propeller motion. This work has great significance for Australia’s construction and military maritime industries. The technologies developed in this project are also applicable to rotors in other industries such as in aircraft, helicopters and wind turbines.Read moreRead less