Functional Materials from Weakly-Structured Self-Assembly Fluids. This project seeks to understand how mixtures of simple molecules can form complex structured liquids. Such mixtures occur widely both in nature and industrial settings. By using an approach combining new, high-resolution experimental techniques with computer modelling, it is expected that a detailed picture of molecular arrangements in these liquids will be obtained, allowing the relationship between composition, structure and pr ....Functional Materials from Weakly-Structured Self-Assembly Fluids. This project seeks to understand how mixtures of simple molecules can form complex structured liquids. Such mixtures occur widely both in nature and industrial settings. By using an approach combining new, high-resolution experimental techniques with computer modelling, it is expected that a detailed picture of molecular arrangements in these liquids will be obtained, allowing the relationship between composition, structure and properties to be understood for the first time. The new understanding of molecular arrangements within liquids may be used to design new solvents for chemical synthesis and catalysis, new food, personal care and pharmaceutical formulations, and new, smart materials that change their properties under external stimulus.Read moreRead less
A study of some physical properties of concentrated salt solutions. The foam we see on the sea shore is caused by the effects of salt in seawater and is one example of the unusual properties of water. These effects can be applied to understand and improve several important processes, such as, boiling, desalination and the precipitation of fine particles from concentrated salt solutions.
Novel water treatment processes. The objective of this project is the discovery of novel methods for the treatment and reuse of water for both industrial and household applications. Improved treatment systems with the potential for water reuse offer significant improvements to our overall water management potential. The first part of the project is designed to focus on the study of hot bubble column evaporators for solute decomposition, sterilisation and the de-watering of heavily contaminated i ....Novel water treatment processes. The objective of this project is the discovery of novel methods for the treatment and reuse of water for both industrial and household applications. Improved treatment systems with the potential for water reuse offer significant improvements to our overall water management potential. The first part of the project is designed to focus on the study of hot bubble column evaporators for solute decomposition, sterilisation and the de-watering of heavily contaminated industrial wastewater. The second part would be based on the study of a suitable depth filter medium for the treatment of partially treated household sewage water. This is designed to form part of an on-site household sewage water treatment and reuse system which is currently being developed.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE130100333
Funder
Australian Research Council
Funding Amount
$315,640.00
Summary
A new class of fast and reliable spectral methods for partial differential equations. The project will develop novel fast and reliable spectral methods for computing solutions to general partial differential equations. These methods will be applied to solve important equations that arise in mathematical physics and other areas where high accuracy is essential.
Novel mathematics and numerical methods for ferromagnetic problems. This project aims to develop novel mathematical theories and numerical methods for ferromagnetic problems. These problems arise from many real-life applications, for example in storage devices and magnetic sensors, which are often affected by random (thermal) noise. Since thermal noise limits the data-retention time of the devices, analysing the effect of noise is highly significant. Expected outcomes will be novel computational ....Novel mathematics and numerical methods for ferromagnetic problems. This project aims to develop novel mathematical theories and numerical methods for ferromagnetic problems. These problems arise from many real-life applications, for example in storage devices and magnetic sensors, which are often affected by random (thermal) noise. Since thermal noise limits the data-retention time of the devices, analysing the effect of noise is highly significant. Expected outcomes will be novel computational techniques to solve the underlying equations and deal with randomness. The project aims to put Australia in the forefront of international research in numerical methods in micromagnetism. The new computational methods are expected to be used to advance technology in magnetic memory devices.Read moreRead less
Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multileve ....Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multilevel methods, transport maps, and dimension reduction, this project's anticipated outcomes are highly accurate and cost-efficient numerical schemes, certified by rigorous mathematical analysis. This should provide data-centric simulation tools with enhanced reliability, for engineering and scientific applications.Read moreRead less
Accurate and fast quantum simulation to predict chemistry. Quantum mechanical simulation is the most accurate tool available for predicting and understanding chemical reactions. Traditional techniques for performing quantum mechanical simulations of molecular collisions and reactions cannot be applied to more than five or six atoms, meaning that it is not possible to study most chemical reactions in full detail. In this project a new technique for performing these accurate simulations, recently ....Accurate and fast quantum simulation to predict chemistry. Quantum mechanical simulation is the most accurate tool available for predicting and understanding chemical reactions. Traditional techniques for performing quantum mechanical simulations of molecular collisions and reactions cannot be applied to more than five or six atoms, meaning that it is not possible to study most chemical reactions in full detail. In this project a new technique for performing these accurate simulations, recently invented at the Australian National University and allowing the study of much larger systems, will be developed and applied to important outstanding problems in chemical dynamics, ranging from roaming in formaldehyde to atom migration in proteins.Read moreRead less
New Approaches to Modelling and Analysing Long-Memory Random Processes. The project aims to develop new approaches using infinite-dimensional Markov processes to solving important long-standing problems from the theory of long memory random processes and their applications. It aims to: construct a class of new representations of random processes; derive inequalities for the key numerical characteristics; and, devise and investigate numerical methods for computing the characteristics and for perf ....New Approaches to Modelling and Analysing Long-Memory Random Processes. The project aims to develop new approaches using infinite-dimensional Markov processes to solving important long-standing problems from the theory of long memory random processes and their applications. It aims to: construct a class of new representations of random processes; derive inequalities for the key numerical characteristics; and, devise and investigate numerical methods for computing the characteristics and for performing statistical inference on the long memory models. The accuracy of numerical approximations will be analysed using simulations on supercomputers. Expected outcomes include models and results of practical importance with applications such as intrusion detection problems, cell motility for biological data and telecommunication.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE170100222
Funder
Australian Research Council
Funding Amount
$313,964.00
Summary
Optimal adaptivity for uncertainty quantification. This project aims to use an adaptive mesh refinement algorithm to improve the ratio of approximation accuracy versus computational time. Partial differential equations with random coefficients are crucial in simulating groundwater flow, structural stability and composite materials, but their numerical approximation is difficult and time consuming. Advances in adaptive mesh refinement theory allow full analysis and mathematical understanding of t ....Optimal adaptivity for uncertainty quantification. This project aims to use an adaptive mesh refinement algorithm to improve the ratio of approximation accuracy versus computational time. Partial differential equations with random coefficients are crucial in simulating groundwater flow, structural stability and composite materials, but their numerical approximation is difficult and time consuming. Advances in adaptive mesh refinement theory allow full analysis and mathematical understanding of the convergence behaviour of the proposed algorithm. The project intends to develop a theory of adaptive algorithms and freely available software for their reliable (and mathematically underpinned) simulation which could solve problems beyond the capabilities of even the most powerful computers.Read moreRead less
Novel Mathematics and Efficient Computational Techniques for Human Vision. This project aims to develop a new mathematical framework to understand elastic properties of human corneas. The project expects to generate new knowledge in understanding bio-mechanical models for human corneas, as well as other engineering applications involving materials with random fluctuations of elasticity. Expected outcomes of this project include new mathematics and computational algorithms for solving complex mat ....Novel Mathematics and Efficient Computational Techniques for Human Vision. This project aims to develop a new mathematical framework to understand elastic properties of human corneas. The project expects to generate new knowledge in understanding bio-mechanical models for human corneas, as well as other engineering applications involving materials with random fluctuations of elasticity. Expected outcomes of this project include new mathematics and computational algorithms for solving complex mathematical equations which describe elastic and hyper-elastic materials such as human corneas. This project will benefit Australia by enhancing the standing in cutting edge research trends in computational mathematics such as uncertainty quantification and machine learning.Read moreRead less