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.

Dynamics, Modelling and Computation

Mathematical model of a microbial colony. The direction of cell growth depends on the nutrient level, with lighter cells having greater directional bias.

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).

Research impact

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.

Our researchers

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 Judith Bunder Multiscale modelling; Computational algorithms; High performance computing
Dr Edward Green Mathematical biology; Fluid mechanics; Reaction-­diffusion equations
Dr Trent Mattner Turbulent flows; Large-eddy simulation; Vortical flows
Dr Michael Chen  

Contact us

To enquire about consulting or working with us on a research project, please contact our lead researcher within the School of Mathematical Sciences:

Associate Professor Luke Bennetts

Senior Research Fellow, School of Mathematical Sciences

Visit Researcher Profile

Higher degrees by research

Whether you intend to work in research or industry, a higher degree by research can give you a competitive edge throughout your career. Find out more about studying a Master of Philosophy or Doctor of Philosophy.

Higher Degrees by Research