Wake dynamics of oscillating cylinder in steady currents. This project aims at advancing knowledge in flow/structure interactions and developing improved methodology for predicting wave and current loading on marine structures, which are vital in many practical applications such as extraction of oil and gas resources and renewable energy from the ocean. The improved methodology and much-needed database of hydrodynamic force coefficients developed through this project for estimating hydrodynamic ....Wake dynamics of oscillating cylinder in steady currents. This project aims at advancing knowledge in flow/structure interactions and developing improved methodology for predicting wave and current loading on marine structures, which are vital in many practical applications such as extraction of oil and gas resources and renewable energy from the ocean. The improved methodology and much-needed database of hydrodynamic force coefficients developed through this project for estimating hydrodynamic loading on marine structures will significantly reduce the high, costly uncertainly levels that are being experienced in the design, construction and maintenance of marine structures (and facilities) and increase the competiveness of Australian relevant industries. Read moreRead less
Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to bu ....Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to build practical mathematical models for droplet impaction, spreading and evaporation on leaf surfaces, and experimentally calibrate and validate the models. The software is expected to drive the development of agrichemical products that increase retention, minimise environmental impacts, and reduce costs for end-users.Read moreRead less
How do vortices live in spatio-temporally complex flows? The project aims to understand the fundamental mechanism of vortices occurring in flows involving spatio-temporal complexity, by using the combination of dynamical systems theory and asymptotic analysis. This innovative combined mathematical analysis will be coupled with sophisticated computations to be enabled by the international interdisciplinary collaboration between the Mathematics and Engineering at Australia and Japan. The expected ....How do vortices live in spatio-temporally complex flows? The project aims to understand the fundamental mechanism of vortices occurring in flows involving spatio-temporal complexity, by using the combination of dynamical systems theory and asymptotic analysis. This innovative combined mathematical analysis will be coupled with sophisticated computations to be enabled by the international interdisciplinary collaboration between the Mathematics and Engineering at Australia and Japan. The expected outcomes are breakthroughs in the fundamental understanding of turbulence. This should lead to significant insight into better turbulent modellings used in, for example, wide range of engineering, physiological and geophysical flows.Read moreRead less
When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome ....When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome the negative effects such realistic noise entails. In taking this necessary step for the implementation of these breakthrough technologies, it will not only significantly advance knowledge but will have a direct impact in the development of a technology in which Australia and other leading nations are heavily invested.Read moreRead less
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE220101094
Funder
Australian Research Council
Funding Amount
$431,900.00
Summary
Energy absorption and impact mechanics of origami structures and materials. This project aims to understand the dynamic behaviour of origami structures and metamaterials by utilising interdisciplinary approaches. This project expects to generate new knowledge in the areas of origami engineering and structural mechanics. The success of this project will form a foundation for studying energy absorption and impact mechanics of origami family; the fundamental physics and mechanics will be applied to ....Energy absorption and impact mechanics of origami structures and materials. This project aims to understand the dynamic behaviour of origami structures and metamaterials by utilising interdisciplinary approaches. This project expects to generate new knowledge in the areas of origami engineering and structural mechanics. The success of this project will form a foundation for studying energy absorption and impact mechanics of origami family; the fundamental physics and mechanics will be applied to characterise microstructures and design novel metamaterials and offer a way of exploring new materials with superior and tuneable performance. This should provide significant benefits to improvement of their safety, stability and reliability performance in applications such as vehicles, warships and offshore engineering.Read moreRead less
Reducing rocket resonance is the key to safer spaceflight. This fellowship considers a particularly dangerous component of rocket launch, which is the potential for destructive feedback loops to form either in the nozzle, or between the nozzle and the launch pad. CI Edgington-Mitchell is a world leader in the study of resonance in jet engines, having developed best-in-field methodologies for the problem. In this innovative fellowship, he will apply these methodologies to better understand the da ....Reducing rocket resonance is the key to safer spaceflight. This fellowship considers a particularly dangerous component of rocket launch, which is the potential for destructive feedback loops to form either in the nozzle, or between the nozzle and the launch pad. CI Edgington-Mitchell is a world leader in the study of resonance in jet engines, having developed best-in-field methodologies for the problem. In this innovative fellowship, he will apply these methodologies to better understand the dangerous resonances that can occur during rocket launch, using a combination of experimental, numerical, and theoretical techniques, in partnership with NASA, Stanford, and the CNRS.Read moreRead less
Unifying discrete and continuous methods in quantum information theory. This project aims to address a critical gap in quantum information theory by unifying the way that both discrete and continuous quantum systems are represented in mathematical models. This project expects to generate new knowledge in quantum information science by using cutting-edge mathematical tools and insights from signal processing theory. Expected outcomes of this project include a new mathematical framework for use in ....Unifying discrete and continuous methods in quantum information theory. This project aims to address a critical gap in quantum information theory by unifying the way that both discrete and continuous quantum systems are represented in mathematical models. This project expects to generate new knowledge in quantum information science by using cutting-edge mathematical tools and insights from signal processing theory. Expected outcomes of this project include a new mathematical framework for use in quantum science and technology development. This should provide significant benefits, such as new ways to efficiently simulate certain quantum processes on ordinary computers and novel approaches to handling noise in quantum computers.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE230100054
Funder
Australian Research Council
Funding Amount
$432,000.00
Summary
Spectral estimates in the presence of a magnetic field. Estimates on eigenvalues of integral operators are at the core of numerous results in the study of quantum phenomena and in associated mathematical fields. This project aims to establish detailed spectral properties of the integral operators arising in quantum models incorporating magnetic fields. An anticipated goal is the generation of new and significant theoretical results in analysis that will open novel approaches to the use of magnet ....Spectral estimates in the presence of a magnetic field. Estimates on eigenvalues of integral operators are at the core of numerous results in the study of quantum phenomena and in associated mathematical fields. This project aims to establish detailed spectral properties of the integral operators arising in quantum models incorporating magnetic fields. An anticipated goal is the generation of new and significant theoretical results in analysis that will open novel approaches to the use of magnetic differential operators. This is expected to benefit Australian science by invigorating collaboration between mathematics and theoretical physics, by providing research training relevant to emerging quantum science based technology and strengthening research collaborations with world leading scientists.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE230100829
Funder
Australian Research Council
Funding Amount
$425,100.00
Summary
Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution ....Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution and the characterisation of suitable quantum state families by their correlation structures.Read moreRead less