Personal
 Name
 Associate Professor Scott McCue
 Position(s)
 Associate Professor
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics  Discipline *
 Applied Mathematics
 Phone
 +61 7 3138 4295
 Fax
 +61 7 3138 2310
 Location
 View location details (QUT staff and student access only)
 Social Media
 Qualifications

PhD (University of Queensland), Bachelor of Science (University of Queensland)
 Professional memberships
and associations  Australian Mathematical Society (AustMS)
 Australian and New Zealand Industrial and Applied Mathematics (ANZIAM)
 Society of Industrial and Applied Mathematics (SIAM)
 American Physical Society (APS)
 Keywords

Asymptotic analysis, Continuum mechanics, Fluid mechanics, Free and moving boundary problems, Free surface flows, Granular materials, Mathematical biology, Nonlinear diffusion, Stefan problems
Biography
Associate Professor Scott McCue was award a PhD in Applied Mathematics from the University of Queensland in May 2000. His PhD supervisor was Professor Lawrence Forbes, who is now at the University of Tasmania. Scott was a Postdoctoral Research Fellow at the University of Nottingham from 20002001, under the supervision of Professors David Riley and John King. He was then a Postdoctoral Research Fellow at the University of Wollongong from 20022004 under the supervision of Professor James Hill, who is now at the University of Adelaide. In 2004 Scott took up a position as Lecturer in Applied Mathematics at Griffith University. He moved to QUT in 2007 as Lecturer in Mathematics, was promoted to Senior Lecturer in 2009, and Associate Professor in 2012.
Research discipline: Applied and Computational Mathematics
Areas of expertise
 Fluid mechanics
 Heat and mass transfer
 Interfacial dynamics
 Asymptotic analysis
 Mathematical biology
Current Projects
Stefan problems (mathematics of melting, freezing and crystal formation)
 Singularity formation for illposed Stefan problems
 Melting crystals in microgravity
 Effect of surface tension and kinetic undercooling on radiallysymmetric melting.
 Extinction analysis for inward solidification.
 Pattern formation due to crystal growth from undercooled melt.
 Related mathematical models for the penetration of solvent through glassy polymers and drug diffusion.
Free surface flows (mathematics of water wave problems)
 Exponential asymptotics for low Froude number flows
 Flow due to source or sink
 2D flows past surface piercing objects
 Stokes waves
 Computing ship wave patterns in 3D
HeleShaw flows (viscous flow between two closely held flat plates)
 Bubble contraction in HeleShaw flows
 Doubly connected HeleShaw flows
 Pattern formation due to viscous fingering
 SaffmanTaylor instability with kinetic undercooling
 Related mathematical models for streamers with applications to sparks and lightning
 Stokes flow in 2D with free boundaries
Thin film flows (viscous flow with small aspect ratio)
 Fingering patterns due to flow of thin viscous film down a smooth surface
 Flow of a single drop: rivulets, corner singularities and pearling
 Spreading of thin films of leaf surfaces with industrial applications
 Extensional flow of viscous drop due to gravity
Mathematical biology
 Wound healing
 Multiscalemodelling of cell biology
 Modelling cell invasion with nonlinear diffusion
 Drug diffusion
 Tumourgrowth models
 Melanoma
 Biological tissue deformation
Other odds and ends
 Mean curvature flows, curvelengthening flows
 Nonlinear diffusion
 Groundwater flows
 Fully developed granular flows: doubleshearing and related theories
 Soil mechanics
Teaching
Teaching discipline: Mathematical Sciences
Scott’s teaching activities include teaching the following units:
 Symmetry, Chaos and Fractals (1st year)
 Ordinary Differential Equations (2nd year)
 Partial Differential Equations (3rd year)
 Applied Transport Theory (3rd year)
 Mathematics of Fluid Flow (4th year)
 Perturbation Methods (4th year)
Publications
 Pethiyagoda R, McCue SW, Moroney TJ, (2014) What is the apparent angle of a Kelvin ship wave pattern?, Journal of Fluid Mechanics p468485
 Dallaston M, McCue SW, (2016) A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences p115
 Jin W, Shah E, Penington CJ, McCue SW, Chopin LK, Simpson MJ, (2016) Reproducibility of scratch assays is affected by the initial degree of confluence: Experiments, modelling and model selection, Journal of Theoretical Biology p136145
 Gardiner B, McCue SW, Dallaston M, Moroney TJ, (2015) SaffmanTaylor fingers with kinetic undercooling, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) p19
 Mayo L, McCue SW, Moroney TJ, Forster WA, Kempthorne DM, Belward JA, Turner IW, (2015) Simulating droplet motion on virtual leaf surfaces, Royal Society Open Science p117
 Dorr GJ, Wang S, Mayo L, McCue SW, Forster WA, Hanan J, He X, (2015) Impaction of spray droplets on leaves: influence of formulation and leaf character on shatter, bounce and adhesion, Experiments in Fluids p117
 Pethiyagoda R, McCue SW, Moroney TJ, (2015) Wake angle for surface gravity waves on a finite depth fluid, Physics of Fluids p17
 Back JM, McCue SW, Moroney TJ, (2014) Including nonequilibrium interface kinetics in a continuum model for melting nanoscaled particles, Scientific Reports p18
 Dallaston MC, McCue SW, (2014) Corner and finger formation in HeleShaw flow with kinetic undercooling regularisation, European Journal of Applied Mathematics p707727
 Pethiyagoda R, McCue SW, Moroney TJ, Back JM, (2014) Jacobianfree NewtonKrylov methods with GPU acceleration for computing nonlinear ship wave patterns, Journal of Computational Physics p297313
For more publications by this staff member, visit QUT ePrints, the University's research repository.
Research projects
Grants and projects (Category 1: Australian Competitive Grants only)
 Title
 Asymptotics of the exponentially small
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP140100933
 Start year
 2014
 Keywords
 Asymptotic methods, Fluid mechanics, Applied differential equations
 Title
 A new hierarchy of mathematical models to quantify the role of ghrelin during cell invasion
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP140100249
 Start year
 2014
 Keywords
 Mathematical modelling,Mathematical biology,Multiscale modelling
 Title
 Modelling Interactions of Spray Droplets with Plants
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 LP100200476
 Start year
 2011
 Keywords
 Mathematical Modelling, Leaf Surface Models, Plant Architectural Models, Spray Droplet Interception, Droplet Spreading, Agrichemical Spray Retention
 Title
 A Mathematical Model of the Roles of Contraction and Oxygen in Human Wound Healing
 Primary fund type
 CAT 1  Australian Competitive Grant
 Project ID
 DP0878011
 Start year
 2008
 Keywords
 Biomathematics, Mathematical Modelling, Wound Healing
Supervision
Completed supervisions (Doctorate)
 Mathematical Modelling of Soft Callus Formation in Murine Bone Repair (2013)
 Mathematical modelling of controlled drug release from polymer microspheres: incorporating the effects of swelling, diffusion and dissolution via moving boundary problems (2013)
 Mathematical modelling of tumour growth and interaction with host tissue and the immune system (2013)
 Mathematical models of bubble evolution in a HeleShaw Cell (2013)
 Mathematical investigation of the interactions between the inflammatory response and mechanical aspects of dermal wound repair (2011)