Algorithms for multi-scale problems in science and engineering. This project aims to develop theoretical formulations and algorithms for modelling fundamental problems in molecular electrostatics, dispersion force theory, acoustics and electromagnetic scattering in applications where current approaches may be useless. Many engineering applications, from microelectronics to bioengineering devices, need to operate across dimensions from a few millimetres down to a million times smaller. This large ....Algorithms for multi-scale problems in science and engineering. This project aims to develop theoretical formulations and algorithms for modelling fundamental problems in molecular electrostatics, dispersion force theory, acoustics and electromagnetic scattering in applications where current approaches may be useless. Many engineering applications, from microelectronics to bioengineering devices, need to operate across dimensions from a few millimetres down to a million times smaller. This large range of length scales means traditional modelling tools and computational techniques will rapidly become intractable. This project will meet this need to strengthen the Australian technological skill base and contribute to innovations in areas ranging from bioengineering to nanotechnology.Read moreRead less
Modelling of soft multi-scale systems. This project develops realistic physical models and efficient computational methods as the platform technology for giving highly accurate predictions of the complex behaviour of soft deformable systems. The outcomes will add to our understanding of the mechano-biology of living cells and artificial soft body tissues, the cellular uptake of nutrients and drugs, the energy-efficient processing of high value pharmaceutical emulsions and the design of functiona ....Modelling of soft multi-scale systems. This project develops realistic physical models and efficient computational methods as the platform technology for giving highly accurate predictions of the complex behaviour of soft deformable systems. The outcomes will add to our understanding of the mechano-biology of living cells and artificial soft body tissues, the cellular uptake of nutrients and drugs, the energy-efficient processing of high value pharmaceutical emulsions and the design of functional polymers and proteins using molecular models. The new knowledge will advance the frontier of material design and characterisation of soft complex materials.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE150100169
Funder
Australian Research Council
Funding Amount
$319,000.00
Summary
Robust methods for solving integral equations in science and engineering. Robust, efficient numerical algorithms will be developed to solve a fundamental class of equations common in engineering, chemistry and biology. Equations describing wave phenomena in acoustics, ultrasonics and antenna design and equations describing electrostatic interactions between charge moieties in proteins and DNA as well as drug-substrate interactions are formulated as boundary integral equations. This is an efficie ....Robust methods for solving integral equations in science and engineering. Robust, efficient numerical algorithms will be developed to solve a fundamental class of equations common in engineering, chemistry and biology. Equations describing wave phenomena in acoustics, ultrasonics and antenna design and equations describing electrostatic interactions between charge moieties in proteins and DNA as well as drug-substrate interactions are formulated as boundary integral equations. This is an efficient reduction of 3D problems to 2D but at the expense of having to deal with numerical singularities. This project aims to remove such long existing theoretical difficulties and the outcome will be general and flexible open source software solutions that will be freely available to handle such fundamental problems.Read moreRead less
Multiscale modelling of systems with complex microscale detail. In modern science and engineering many complex systems are described by distinctly different microscale physical models within different regions of space. This project is to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling and computation of such systems for application in industrial research and development. Our sparse simulations, justified with mathematical analysis, use ....Multiscale modelling of systems with complex microscale detail. In modern science and engineering many complex systems are described by distinctly different microscale physical models within different regions of space. This project is to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling and computation of such systems for application in industrial research and development. Our sparse simulations, justified with mathematical analysis, use small bursts of particle/agent simulations, PDEs, or difference equations, to efficiently evaluate macroscale system-level behaviour. The objective is to accurately interface between disparate microscale models and establish provable predictions on how the microscale parameter spaces resolve at the macroscale.Read moreRead less
Multiscale modelling of systems with complex microscale detail. This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical meth ....Multiscale modelling of systems with complex microscale detail. This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical methodology aims to efficiently and accurately extract and simulate the collective dynamics which emerge on macroscales, leading to improved prediction and understanding of the significant features of these complex systems at the scale relevant to engineers and scientists.Read moreRead less
Modeling, Mathematical Analysis, and Computation of Multiscale Systems. This project develops and implements a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. Our wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or PDE or lattice equations). Comprehensively a ....Modeling, Mathematical Analysis, and Computation of Multiscale Systems. This project develops and implements a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. Our wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or PDE or lattice equations). Comprehensively accounting for multiscale interactions between subgrid processes among macroscale variations ensures stability and accuracy. Based on dynamical systems theory and analysis, our approach will empower systematic analysis and understanding for optimal macroscopic simulation for forthcoming exascale computing. Read moreRead less
Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provid ....Novel nonlinear functional analysis methods for singular and impulsive boundary value problems. This project aims to develop innovative functional analysis theories and methods to study various complex nonlinear boundary value problems, with particular focus on singular and impulsive problems. The outcomes of this project aims to enhance Australia’s capability of tackling complex nonlinear science and engineering problems using sophisticated mathematical methods. This project aims to also provide engineers and scientists with a theoretical base and simulation technique for the study and optimal control of impulsive systems and processes involving nonlinear singularity.Read moreRead less
Unconventional antennas from macro- to nano-scales. This research project will develop unconventional radio-frequency antennas for tomorrow's miniaturised multi-function wireless communication systems. It will also extend the principles to resonant nano-structures or 'optical antennas' which offer new perspectives in sensing physics, with the possibility of single molecule detection and identification.
Efficient computational methods for worst-case analysis and optimal control of nonlinear dynamical systems. Natural and technological systems can exhibit extremely complicated behaviour in worst-case scenarios. This project will develop efficient mathematical and computational tools that will enable this behaviour to be understood and controlled.
Understanding and improving rare earth corrosion inhibitors. This project aims to investigate rare earth corrosion inhibitors by an interdisciplinary program of chemistry and materials science.
The project will generate new knowledge as to how rare earth corrosion inhibitors function and can be improved.
Expected outcomes include a better understanding of inhibitor induced protective films and improved inhibitors.
Significant benefits are eventually better protection of infrastructure from .... Understanding and improving rare earth corrosion inhibitors. This project aims to investigate rare earth corrosion inhibitors by an interdisciplinary program of chemistry and materials science.
The project will generate new knowledge as to how rare earth corrosion inhibitors function and can be improved.
Expected outcomes include a better understanding of inhibitor induced protective films and improved inhibitors.
Significant benefits are eventually better protection of infrastructure from corrosion with greener inhibitors and a new bulk use for rare earths to aid Australia’s emerging rare earth industry.
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