Dynamics Modelling and Computation
Dynamics, Modelling and Computation research involves mathematically modelling problems in biology, chemistry, ecology, geophysics, materials science and many other areas of science and engineering.
Based within the School of Mathematical Sciences, our Dynamics, Modelling and Computation research group provides valuable insights and accurate predictions that advance industry and empower researchers in numerous disciplines.
We are particularly focused on real-world industrial, scientific and engineering problems. Our expertise includes:
- developing models using differential equations
- classical mechanics, and particularly in fluid dynamics
- applying and developing solution methods, ranging from analytical (e.g. based on asymptotic theories) to numerical (e.g. computational fluid dynamics).
Our research is highly interdisciplinary, and of great relevance and benefit to numerous industries. We are involved in multiple research collaborations with colleagues from a variety of fields, such as medicine, biology, oceanography, nanotechnology, glaciology and industry. Some of these projects include:
- understanding spatial structures in colorectal (bowel) cancer
- developing coupled fire–atmosphere models of bushfire spread
- enhancing electrospray ionisation sensitivity in mass spectrometry
- designing operationally viable ocean-wave-energy-converter farms
- multiscale methods for systems with complex microscale detail
- modelling suspension flows along curved geometries
- advancing mathematical methods for modern glass and fibre technology
- engineering floating liquid marbles for three-dimensional cell cultures
- modelling Antarctic sea ice drift in response to winds, waves and currents.
Our work has led to many high-impact discoveries in real-word problems. Highlights include:
- providing evidence that catastrophic Antarctic ice shelf disintegration is triggered by sea-ice loss and wave impact
- demonstrating mathematical models’ ability to predict diffusion-limited growth within a microbial colony
- developing a patch-dynamics scheme that empowers exascale computing by minimising data transfer between processors
- showing that optical fibres’ geometry is significantly affected by surface tension present during their drawing process.
We are available to advise or lead public- and private-sector projects involving:
- mathematically and numerically modelling real-world problems involving dynamics
- analysing models and solution methodology.
We have expertise across a wide range of areas. Many of our researchers are available to assist with research project supervision for Master of Philosophy and Doctor of Philosophy students.
Research team Expertise Associate Professor Sanjeeva Balasuriya Dynamical systems; Fluid mechanics; Mathematical modelling Associate Professor Luke Bennetts Wave motion; Hydrodynamics; Metamaterials Associate Professor Benjamin Binder Agent-based and continuum models; Free-surface flows; Mathematical biology Professor Yvonne Stokes Fluid dynamics; Free and moving boundary problems; Mathematical biology Dr Edward Green Mathematical biology; Fluid mechanics; Reaction-diffusion equations Dr Trent Mattner Turbulent flows; Large-eddy simulation; Vortical flows Dr Jordan Pitt Numerical methods to model dispersive wave equations; Interaction between ocean waves and sea ice Dr Thien Tran-Duc Multiscale modelling and computation Dr Rahil Valani Dynamical systems & chaos, fluid dynamics and active matter Dr Michael Chen Dr Chantelle Blachut
To enquire about consulting or working with us on a research project, please contact our lead researcher within the School of Mathematical Sciences:
Senior Research Fellow, School of Mathematical Sciences
We collaborate with various industry and government organisations, including:
- Australian Antarctic Division
- Defence Science and Technology (DST) Group
- Imperial College London (UK)
- Johns Hopkins University, Baltimore (USA)
- Trajan Scientific and Medical
- University of Birmingham (UK)
- University of California, Los Angeles (USA)
- University of Cambridge (UK)
- University of East Anglia, Norwich (UK)