Personal details
 Name
 Professor Timothy Moroney
 Position(s)
 Professor in Mathematics
Faculty of Science,
School of Mathematical Sciences  Discipline *
 Numerical and Computational Mathematics
 Phone
 +61 7 3138 2262
 t.moroney@qut.edu.au
 Location
 View location details (QUT staff and student access only)
 Identifiers and profiles
 Qualifications

PhD (Queensland University of Technology)
 Keywords

Multiscale modelling, Fluid mechanics, Interfacial dynamics, Fractional calculus, High performance computing
Biography
Professor Moroney’s research interests are in the fields of computational mathematics and high performance computing. Presently, Professor Moroney’s areas of focus are: surface reconstruction from scattered data, droplet evaporation and spreading on heterogeneous curved surfaces (such as leaves), timefrequency analysis of signals arising from the wakes of ships, and distributedorder fractional differential equations for describing nonlocal anomalous diffusion.
Surface reconstruction. Using a handheld 3D laser scanner it is possible to generate a pointcloud representation of an entire plant in an hour or so. Professor Moroney is working on a number of projects that involve the use of such data to better understand droplet impaction, spreading and evaporation on plant leaves, with applications to the agrichemical industry. Building wholeofplant virtual models from scanned data requires scattered data interpolation combined with clustering, smoothing, regularisation, partitioning and processing to generate realistic virtual models.
Droplet evaporation. From a realistic virtual leaf, with its undulating surface and heterogenous chemical properties, it is desired to understand how droplets settle on the surface, the interplay between gravitational and surface forces, how contact angles vary with time, the effect of surfactants, and so on, to ultimately increase retention and absorption of agrichemicals. This requires highresolution solution of partial differential equations on curved surfaces with spatiallyvarying chemical properties.
Ship wakes. When a ship moves through the water, it generates a wake: the characteristic Vshaped wave pattern. This pattern is in some sense characteristic of the vessel. The relative strength of the transverse and divergent waves, the changing wavelength and frequency, alternating constructive and destructive interference, etc. all carry information about the source of the waves. The goal is to determine how much information about the ship can be reconstructed from nothing more than a time series surfaceheight measurements of the wake recorded at sensors fixed in space.
Fractional diffusion. In many important practical applications, we are interested in understanding how heat, mass and other quantities diffuse throughout space. For diffusion in particularly complex media, the laws governing this transport process may involve differential operators that are nonlocal. This complicates both the analysis and the numerical solution of these equations. More complex still are problems where the “index of nonlocality” is itself distributed probabilistically. Our work seeks to better understand these phenomena through both mathematical analysis and computational simulation.
Teaching
Professor Moroney teaches into the Mathematics and Engineering courses at QUT. His focus is on fostering an appreciation for the remarkable problemsolving power that is enabled by synthesising mathematics and computing. His firstyear unit MXB161 Computational Explorations takes students on a journey through some of the ways that computation and simulation are fundamental to modern science and engineering. In his secondyear mathematics unit MXB201 Advanced Linear Algebra, Professor Moroney presents more sophisticated mathematical approaches that are fundamental to dealing with today’s big data sets, including data from large scientific experiments.
Publications
 Hejazi H, Moroney T, Liu F, (2014) Stability and convergence of a finite volume method for the space fractional advectiondispersion equation, Journal of Computational and Applied Mathematics p684697
 Farquhar M, Moroney T, Yang Q, Turner I, (2016) GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion, SIAM Journal of Scientific Computing pC127C149
 Moroney T, Yang Q, (2013) Efficient solution of twosided nonlinear spacefractional diffusion equations using fast Poisson preconditioners, Journal of Computational Physics p304317
 Moroney T, Lusmore D, McCue S, McElwain S, (2017) Extending fields in a level set method by solving a biharmonic equation, Journal of Computational Physics p170185
 Pethiyagoda R, McCue S, Moroney T, (2014) What is the apparent angle of a Kelvin ship wave pattern?, Journal of Fluid Mechanics p468485
 Pethiyagoda R, McCue S, Moroney T, Back J, (2014) Jacobianfree NewtonKrylov methods with GPU acceleration for computing nonlinear ship wave patterns, Journal of Computational Physics p297313
 Yang Q, Turner I, Moroney T, Liu F, (2014) A finite volume scheme with preconditioned Lanczos method for twodimensional spacefractional reactiondiffusion equations, Applied Mathematical Modelling p37553762
 Mayo L, McCue S, Moroney T, (2013) Gravitydriven fingering simulations for a thin liquid film flowing down the outside of a vertical cylinder, Physical Review E p116
 Moroney T, Yang Q, (2013) A banded preconditioner for the twosided, nonlinear spacefractional diffusion equation, Computers and Mathematics with Applications p659667
 Pethiyagoda R, Moroney T, Macfarlane G, Binns J, McCue S, (2018) Timefrequency analysis of ship wave patterns in shallow water: modelling and experiments, Ocean Engineering p123131
For more publications by this staff member, visit QUT ePrints, the University's research repository.
Awards
Awards and recognition
 Type
 Fellowships
 Reference year
 2017
 Details
 Senior Fellow of the Higher Education Academy
 Type
 Academic Honours, Prestigious Awards or Prizes
 Reference year
 2016
 Details
 Vice Chancellor's Performance Award
 Type
 Academic Honours, Prestigious Awards or Prizes
 Reference year
 2012
 Details
 ViceChancellor's Award for Excellence
Research projects
Grants and projects (Category 1: Australian Competitive Grants only)
 Title
 A Unifying Framework for Generalised Distributedorder Fractional Models
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP180103858
 Start year
 2018
 Keywords
 Title
 Mathematical and Computational Analysis of Ship Wakes
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP180103260
 Start year
 2018
 Keywords
 Title
 Mathematical and computational models for agrichemical retention on plants
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 LP160100707
 Start year
 2017
 Keywords
 Fluid mechanics;Droplet impaction;Evaporation;Leaf surface models;Mathematical software
 Title
 From Genes to Organ Function: Understanding how Heterogeneity in Tissue Modulates Cellular Behaviour in the Heart
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP120103770
 Start year
 2012
 Keywords
 Heterogeneous Computing;Cardiovascular System;Mathematical Modelling;Simulation Algorithm
Supervision
Completed supervisions (Doctorate)
 Mathematical and Computational Analysis of Kelvin Ship Wave Patterns (2016)
 Finite Volume Methods for Simulating Anomalous Transport (2015)
 Mathematical Modelling of the Impaction and Spreading of Spray Droplets on Leaves (2015)
 Stefan Problems for Melting Nanoscaled Particles (2015)
 Mathematical modelling of controlled drug release from polymer microspheres: incorporating the effects of swelling, diffusion and dissolution via moving boundary problems (2013)
 Modelling Sea Water Intrusion in Coastal Aquifers Using Heterogeneous Computing (2013)
 Mathematical Modelling of the Immune Response to Chlamydia Trachomatis (2012)