Personal
- Name
- Associate Professor Timothy Moroney
- Position(s)
- Associate Professor in Mathematics
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics - Discipline *
- Numerical and Computational Mathematics
- Phone
- +61 7 3138 2262
- Fax
- +61 7 3138 2310
- 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
Research theme: Environment
Research discipline: Mathematical Sciences
Dr Moroney’s research interests are in the fields of computational mathematics and high performance computing. He has more than seven years of research experience in the field of computational mathematics, and more than ten years experience as a computer programmer, particularly in the
C++ programming language. Presently, Dr Moroney’s areas of focus are: flow in porous media, high performance computing, exponential integrators, fractional differential equations and high accuracy finite volume methods.
Flow in porous media
Dr Moroney has worked on a number of projects that involve the study of flow in porous media. One such ongoing project involves the modelling of groundwater flow and saltwater intrusion into the coastal aquifer system in the Coastal Burnett region of Queensland. More recently, Dr Moroney has become involved in a group investigating the self-combustion of bagasse (sugarcane) stockpiles in Queensland. In both of these projects, Dr Moroney has been heavily involved in the development of efficient, robust, two and three-dimensional computational models that can be used for computer simulation of these complex processes.
High performance computing
With his strong background in programming, Dr Moroney is a recognised leader in high performance computing within his research group. His most recent research in this area concerns hybrid CPU/GPU computing, with an emphasis on developing generic code that can run with maximal efficiency on either CPU or GPU hardware.
Exponential integrators
Recent research by Dr Moroney and others in QUT’s mathematics discipline has shown the potential for exponential integrators as an alternative to traditional methods for solving initial value problems. This cutting-edge work links with his research on GPU computing, where these methods show particular promise for achieving spectacular floating point performance.
Fractional differential equations
It is an increasingly common observation that traditional models for diffusion cannot capture all of the relevant behaviour of systems that exhibit anomalous diffusion. Fractional order models offer a means for capturing this behaviour more adequately, but the numerical methods are not as well
developed. Dr Moroney’s work in this area has been on numerical methods for solving time- and space-fractional differential equations accurately and efficiently.
High accuracy finite volume methods
Dr Moroney’s PhD was on high accuracy finite volume methods, and this area of research remains a key interest. Ongoing work in this area concerns the most effective way to introduce high-accuracy interpolation into a finite volume scheme, in order to accurately resolve gradients without requiring excessively fine meshes.
Teaching
Teaching discipline: Mathematical Sciences
Dr Moroney is an experienced lecturer in the field of computational mathematics. For a number of years he has been the principal lecturer in the computational mathematics stream at QUT, teaching at all year levels from first to fourth year.
He is also an experienced lecturer in the fields of linear algebra and applied mathematics.
Publications
- Farquhar ME, Moroney TJ, Yang Q, Turner IW, (2016) GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion, SIAM Journal on Scientific Computing pC127-C149
- Pethiyagoda R, McCue SW, Moroney TJ, (2015) Wake angle for surface gravity waves on a finite depth fluid, Physics of Fluids p1-7
- Pethiyagoda R, McCue SW, Moroney TJ, Back JM, (2014) Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns, Journal of Computational Physics p297-313
- Hejazi H, Moroney TJ, Liu F, (2014) Stability and convergence of a finite volume method for the space fractional advection-dispersion equation, Journal of Computational and Applied Mathematics p684-697
- Back JM, McCue SW, Hsieh MH, Moroney TJ, (2014) The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem, Applied Mathematics and Computation p41-52
- Pethiyagoda R, McCue SW, Moroney TJ, (2014) What is the apparent angle of a Kelvin ship wave pattern?, Journal of Fluid Mechanics p468-485
- Yang Q, Turner IW, Moroney TJ, Liu F, (2014) A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations, Applied Mathematical Modelling: simulation and computation for engineering and environmental systems p3755-3762
- Moroney TJ, Yang Q, (2013) Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners, Journal of Computational Physics p304-317
- Mayo L, McCue SW, Moroney TJ, (2013) Gravity-driven fingering simulations for a thin liquid film flowing down the outside of a vertical cylinder, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) p1-16
- Moroney TJ, Yang Q, (2013) A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation, Computers and Mathematics with Applications: an international journal p659-667
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
- Vice-Chancellor's Award for Excellence
Research projects
Grants and projects (Category 1: Australian Competitive Grants only)
- 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 micro-spheres: 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)