Empowering next-generation sea-ice models with wave–ice mathematics. Sea ice is a crucial part of the Australian and global climate systems, and the most sensitive indicator of the alarming climate changes in motion. This project aims to deliver a vital component in next-generation sea-ice models, by modelling ocean waves in the ice-covered ocean, and implementing it in the leading large-scale sea-ice model. The waves-in-ice model will be accurate for the range of possible wave–ice conditions, u ....Empowering next-generation sea-ice models with wave–ice mathematics. Sea ice is a crucial part of the Australian and global climate systems, and the most sensitive indicator of the alarming climate changes in motion. This project aims to deliver a vital component in next-generation sea-ice models, by modelling ocean waves in the ice-covered ocean, and implementing it in the leading large-scale sea-ice model. The waves-in-ice model will be accurate for the range of possible wave–ice conditions, using understanding derived from state-of-the-art experimental measurements. Powerful mathematical approximation methods will be developed to generate model efficiency. The outcomes will create a new standard in sea-ice modelling, with significant benefits for sea-ice forecasting and climate studies.Read moreRead less
Bodies in space. By investigating how a change in shape of the human body can produce a change in spatial orientation, the project will bring a fundamental advance of knowledge in the intersection of applied mathematics, sports science and mechanical engineering. These knowledge advances will lead to a novel theory regarding the control of the aerial dynamics of athletes, specifically springboard and platform divers. When applied in collaboration with world class Australian athletes, this theory ....Bodies in space. By investigating how a change in shape of the human body can produce a change in spatial orientation, the project will bring a fundamental advance of knowledge in the intersection of applied mathematics, sports science and mechanical engineering. These knowledge advances will lead to a novel theory regarding the control of the aerial dynamics of athletes, specifically springboard and platform divers. When applied in collaboration with world class Australian athletes, this theory will result in innovative platform and springboard diving techniques and improved performance. The reach of new insights generated by this work extends to many other fields, including robotics, spacecraft dynamics and nano technology.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE180101098
Funder
Australian Research Council
Funding Amount
$374,200.00
Summary
New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should ....New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should also have application to the analysis of fluid flows over porous media and practical engineering structures.Read moreRead less
A new asymptotic toolbox for nonlinear discrete systems and particle chains. This project aims to pioneer a mathematical toolbox of new asymptotic techniques for discrete systems driven by vanishingly small influences. The purpose of these techniques is to permit the asymptotic study of discrete problems in which significant effects originate due to subtle causes that are invisible to existing asymptotic methods. Discrete systems play a significant role in modern applied mathematics, and it is v ....A new asymptotic toolbox for nonlinear discrete systems and particle chains. This project aims to pioneer a mathematical toolbox of new asymptotic techniques for discrete systems driven by vanishingly small influences. The purpose of these techniques is to permit the asymptotic study of discrete problems in which significant effects originate due to subtle causes that are invisible to existing asymptotic methods. Discrete systems play a significant role in modern applied mathematics, and it is vital that mathematical tools be designed in order to explore their behaviour. The aim of this project is to open new pathways for resolving open scientific problems, providing benefits such as understanding the energy dissipation of particle chains and granular lattices contained in small-scale technological components.Read moreRead less
Multiphysics instabilities during diagenesis of shale gas reservoirs. This project aims to understand the formation, geometry and fluid connectivity of unconventional high-temperature and high pressure shale gas reservoirs using volumetric instabilities of ductile materials. Unconventional shale gas/oil are the most abundant fossil fuel resources on Earth, but are inaccessible to conventional techniques. This project will investigate the mechanisms, critical parameters and applicability of the t ....Multiphysics instabilities during diagenesis of shale gas reservoirs. This project aims to understand the formation, geometry and fluid connectivity of unconventional high-temperature and high pressure shale gas reservoirs using volumetric instabilities of ductile materials. Unconventional shale gas/oil are the most abundant fossil fuel resources on Earth, but are inaccessible to conventional techniques. This project will investigate the mechanisms, critical parameters and applicability of the theory to unconventional reservoirs. It will do so by testing the theory under controlled laboratory experiments, fully coupled thermo-hydro-mechanical-chemical (THMC) modelling and analytical modelling. The outcomes should allow a rigorous assessment of the potential of unconventional reservoirs under Australia’s extreme conditions.Read moreRead less
Novel technology for enhanced coal seam gas production utilising mechanisms of stimulated cleat permeability through graded particle injection. This cross-disciplinary project will develop a new integrated technology for well productivity enhancement in coal seam gas, shale, tight gas and geothermal reservoirs - the world’s fastest growing unconventional clean energy resources. It will improve our understanding of the multi scale physics of natural gas and energy production.
Optimal electromaterial structures for energy applications. This project aims to develop new mathematical and modelling approaches to determine optimal configurations and parameters for material structures created from three-dimensional printing of combined metals and electromaterials. Electromaterials are needed for sustainable energy, but solving coupled-systems of highly nonlinear governing equations is needed for optimal control of spatial arrangement and composition in nano and micro-struct ....Optimal electromaterial structures for energy applications. This project aims to develop new mathematical and modelling approaches to determine optimal configurations and parameters for material structures created from three-dimensional printing of combined metals and electromaterials. Electromaterials are needed for sustainable energy, but solving coupled-systems of highly nonlinear governing equations is needed for optimal control of spatial arrangement and composition in nano and micro-structural domains. Dealing with this mathematical complexity is critical to developing high efficiency energy generation and gas storage systems. This is expected to enhance transport mechanisms within electrochemical devices and create opportunities for industry to use electrofunctional materials.Read moreRead less
Quantification of Multiphysics phenomena of Gas flow in organic rich shales. We address the scientific question of the nature of gas extraction from nominally impermeable rocks such as shales. Our main aim is to develop a fully coupled microstructurally enriched thermodynamic continuum model to predict the Multiphysics behaviour of shale reservoirs during gas production and verify the model with representative experiments conducted on formations from three Australian Basins including Cooper, Per ....Quantification of Multiphysics phenomena of Gas flow in organic rich shales. We address the scientific question of the nature of gas extraction from nominally impermeable rocks such as shales. Our main aim is to develop a fully coupled microstructurally enriched thermodynamic continuum model to predict the Multiphysics behaviour of shale reservoirs during gas production and verify the model with representative experiments conducted on formations from three Australian Basins including Cooper, Perth and Beetaloo, where the samples are available to the investigators. We approach this problem in a hybrid theoretical-numerical-experimental study. This is the first international attempt to develop such experimentally verified thermodynamic based model, particularly for Australian shales.Read moreRead less
Discrete differential geometry: theory and applications. Sophisticated freeform structures made of glass and metal panels are omnipresent and their architectural design has been shown to be intimately related to a new area of mathematics, namely discrete differential geometry. This project is concerned with the theoretical basis of discrete differential geometry and its real world applications.
Investigation of Thermotransport in Liquid Metal Alloys. This project aims to improve understanding of thermotransport to support the use of liquid metal allows in manufacture and energy transfer. The coupled flow of heat and mass (thermotransport) rapidly produces segregation in liquid metal alloys in a temperature gradient. This is a major problem in optimising the solidification from melts in manufacturing and for the design of liquid alloys for transfer of heat. Thermotransport is very poorl ....Investigation of Thermotransport in Liquid Metal Alloys. This project aims to improve understanding of thermotransport to support the use of liquid metal allows in manufacture and energy transfer. The coupled flow of heat and mass (thermotransport) rapidly produces segregation in liquid metal alloys in a temperature gradient. This is a major problem in optimising the solidification from melts in manufacturing and for the design of liquid alloys for transfer of heat. Thermotransport is very poorly understood. The project aims to achieve an understanding of the process through a combination of new theory, corresponding new experiments and advanced computer simulations. This would be a major advance in the area, supporting the development of new systems to prevent segregation.Read moreRead less