Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with inter ....Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with international researchers and engineering scientists. This is important for the advance of science and technology in
Australia.Read moreRead less
Dynamics of eigenvalue/eigenspace algorithms with applications to signal processing. Many problems in signal and systems lead naturally to an eigenvalue/eigenspace determination and tracking problem; for example (acoustic) echo-cancellation, crosstalk suppression in ADSL modems, direction of arrival determination with an array of sensors, linear system identification etc. Exploiting methods from global analysis and dynamical systems theory we will study the available algorithms for eigenspace de ....Dynamics of eigenvalue/eigenspace algorithms with applications to signal processing. Many problems in signal and systems lead naturally to an eigenvalue/eigenspace determination and tracking problem; for example (acoustic) echo-cancellation, crosstalk suppression in ADSL modems, direction of arrival determination with an array of sensors, linear system identification etc. Exploiting methods from global analysis and dynamical systems theory we will study the available algorithms for eigenspace determination to characterise their computational efficiency, accuracy and effectiveness in various data scenarios. The analysis will lead to improved designs for eigenvalue/eigenspace algorithms, as well as design tools to engineer algorithms to specific situations.Read moreRead less
Fundamental investigation of heat and mass transfer in nanofluids: a mechanistic approach. This project aims to develop a mathematical model in order to predict complex boiling in using nanofluids as new coolant for heat removal. Implementation and resultant computer codes thereafter will provide industries with significant benefits and reduce times and costs in their future design of ultra-high efficient heat removal systems.
The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and ....Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits and, in particular, reduce times and costs in their design and production. Read moreRead less
Nucleosynthesis today and tomorrow. Australia is a recognised world leader in understanding the interiors of stars and how they make the elements seen all around us, from Carbon to Gold and beyond. This project combines Australian theoreticians with the world's largest telescopes and computers, as well as the latest laboratory instruments and techniques, to further our understanding of where all the elements originated.
A Grid based platform for multi-scaled biological simulation. Heart disease currently affects over 3.5 million Australians. In 2006 it claimed the lives of almost 46,000 Australians (34% of all deaths). We will develop enabling technology that underpins cardiac disease research, offering potential for new treatments and pharmaceutical therapies. Even a small improvement in this area can translate into significant national benefit. Further, the mathematical techniques and software tools we will d ....A Grid based platform for multi-scaled biological simulation. Heart disease currently affects over 3.5 million Australians. In 2006 it claimed the lives of almost 46,000 Australians (34% of all deaths). We will develop enabling technology that underpins cardiac disease research, offering potential for new treatments and pharmaceutical therapies. Even a small improvement in this area can translate into significant national benefit. Further, the mathematical techniques and software tools we will develop, whilst focused on heart tissue, will have broader applicability, and may underpin advancements in other disciplines. Finally, we expect that the software solutions and infrastructure will have both commercial and strategic value in their own right.Read moreRead less
Particle transport in turbulent non-Newtonian suspensions in self formed open channels. An improved understanding of the fundamentals of channel formation and the ability of channels to transport solids in either a natural or created environment will be of benefit to industries employing open channels (or flumes) or stacked tailings as part of their processes. This will lead to better design and operation with reduced water use and reduced volume of waste disposal. This research will build the ....Particle transport in turbulent non-Newtonian suspensions in self formed open channels. An improved understanding of the fundamentals of channel formation and the ability of channels to transport solids in either a natural or created environment will be of benefit to industries employing open channels (or flumes) or stacked tailings as part of their processes. This will lead to better design and operation with reduced water use and reduced volume of waste disposal. This research will build the scientific foundation for the design tools to more accurately predict the behaviour of tailings stacks. The mining industry will benefit from the improved management of their tailings disposal regimes, reduced water usage, lowered cost of disposal and reduced impact on the environment.Read moreRead less
The role of magnetic fields in star formation. Recently we have performed the world's first calculations of star cluster formation that incorporate the effects of magnetic fields and radiation. This research has recently been brought back to Australia and the goal of this proposal is to extend our competitive edge in this area.
Whilst calculations of the formation of stars gives us fundamental understanding about a very basic physical process in the universe (namely, the conversion of gas into s ....The role of magnetic fields in star formation. Recently we have performed the world's first calculations of star cluster formation that incorporate the effects of magnetic fields and radiation. This research has recently been brought back to Australia and the goal of this proposal is to extend our competitive edge in this area.
Whilst calculations of the formation of stars gives us fundamental understanding about a very basic physical process in the universe (namely, the conversion of gas into stars), the equations we solve and the methods used to solve them, are the same as those used to describe many gases and fluids on earth. Solving these equations in difficult astrophysical regimes develops new methodology which translates readily to earth-bound problems.Read moreRead less
The next generation of stellar models: incorporating the results of multidimensional hydrodynamics. This project involves the use of computer codes designed for massively-parallel computing, thousands of computers tied together into one cluster, to tackle difficult hydrodynamic problems that occur in stars. We will train PhD students in this area of cutting-edge computation, with applications in areas such as meteorology, aero-space and defence. The skills gained by the participants in this proj ....The next generation of stellar models: incorporating the results of multidimensional hydrodynamics. This project involves the use of computer codes designed for massively-parallel computing, thousands of computers tied together into one cluster, to tackle difficult hydrodynamic problems that occur in stars. We will train PhD students in this area of cutting-edge computation, with applications in areas such as meteorology, aero-space and defence. The skills gained by the participants in this project will be useful over a wide range of areas in the modern economy of the nation.Read moreRead less