An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation cons ....An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation constraints. The work is extremely important to the mining industry in Australia, as the outcomes of the project will provide engineers with an innovative simulation technique to optimise mine design and to predict and control rock failure so as to reduce personnel injuries and death toll in mine sites.Read moreRead less
Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the pr ....Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the project will provide efficient and accurate tools for constructing feedback laws in high dimensions.Read moreRead less
A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will prov ....A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will provide a sophisticated numerical technique for geotechnical engineers/scientists to determine geomechanical parameters accurately from in-situ observation and displacement measurements, leading to the optimal design of rock structures in subsequent analysis.Read moreRead less
Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes ....Stochastic Analysis with a View to Applications in Financial Risk Processes. Recent decades have seen explosive growth in applications of probability theory and statistics to the modelling of risk in finance and insurance. An intensive theoretical investigation into passage time and other problems for Levy and other continuous time processes will be applied to financial risk analyses. Related investigations will involve perpetuities and stochastic volatility models for price series. Outcomes will include the development of new theory in probability and statistics, the initiation and reinforcement of collaborative ties with major international research figures, and the fostering of contacts with the finance industry.Read moreRead less
Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutic ....Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutical industry's competitiveness in the global market, (2) provide good medication for the treatment of various diseases, promoting good health of Australians, (3) lead to new mathematical models and solutions that are also applicable to such fields as resources and environmental systems.Read moreRead less
Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful impleme ....Dynamic CFD Simulations and Scale-Up of Three-Phase Slurry Reactors for Gas-to-Liquid (GTL) Technology. The gas-liquid-solid flow patterns in three-phase slurry bubble column reactors will be studied using experiments and CFD. The effect of various reactor parameters will be studied to develop the scale-up heuristic for the slurry bubble column reactor. The Findings of this study will be used to optimise the reactor system for the offshore natural gas locations of Australia. A successful implementation of this project will bring a huge economic benefit to Australia by utilising the vast amount of remotely located and otherwise unusable stranded natural gas reserves. The project falls within one of National Research Priorities: An Environmentally Sustainable Australia.Read moreRead less
An innovative computational technique for the study and control of oscillation marks in continuous casting of steel. The project addresses an important problem in steel making industry. The success of the project will lead to a comprehensive understanding of the continuous steel casting process and the development of an innovative computational technique for the analysis of the process, which is important for the optimal control of the process. As Australia has a huge amount of mineral resources ....An innovative computational technique for the study and control of oscillation marks in continuous casting of steel. The project addresses an important problem in steel making industry. The success of the project will lead to a comprehensive understanding of the continuous steel casting process and the development of an innovative computational technique for the analysis of the process, which is important for the optimal control of the process. As Australia has a huge amount of mineral resources, improvement of the steel casting technology will result in great economic and social benefit. It will increase the revenue from the steelmaking industry and ensure the Australian steelmaking industry to be internationally competitive. The project will also lead to the production of a number of graduates with expertise directly useful to our local industry. Read moreRead less
Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power f ....Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for working with them. The fundamental research outcomes, in terms of theorems, algorithms, and the training of young research mathematicians, will thus both enhance the high international standing of Australian mathematics, and strengthen Australia's capabilities in these important areas.Read moreRead less