62 citations · 414 across the 21 of their papers we have counts for
21 papers
Computing sessile droplet shapes on arbitrary surfaces with a new pairwise force smoothed particle hydrodynamics model
Riley M Whebell, Timothy J Moroney, Ian W Turner +2
The study of the shape of droplets on surfaces is an important problem in the physics of fluids and has applications in multiple industries, from agrichemical spraying to microflui…
Simulation of high-speed impact of surfactant-laden drops
Olivier D. Y. Huet, Ravindra Pethiyagoda, Timothy J. Moroney +4
We develop a computational model to simulate the immediate post-impact spreading behaviour of surfactant-laden drops that impact a flat and solid surface. The model is built on the…
Data fusion for a multi-scale model of a wheat leaf surface: a unifying approach using a radial basis function partition of unity method
Riley M. Whebell, Timothy J. Moroney, Ian W. Turner +6
Realistic digital models of plant leaves are crucial to fluid dynamics simulations of droplets for optimising agrochemical spray technologies. The presence and nature of small feat…
Mathematical models and time-frequency heat maps for surface gravity waves generated by thin ships
Nicholas R. Buttle, Ravindra Pethiyagoda, Timothy J. Moroney +4
Recent research suggests that studying the time-frequency response of ship wave signals has potential to shed light on a range of applications, such as inferring the dynamical and…
Spectrogram analysis of surface elevation signals due to accelerating ships
Ravindra Pethiyagoda, Timothy J Moroney, Gregor J Macfarlane +1
Spectrograms provide an efficient way to analyse surface elevation signals of ship waves taken from a sensor fixed at a single point in space. Recent work based on a simplified mod…
A review of one-phase Hele-Shaw flows and a level-set method for non-standard configurations
Liam C. Morrow, Timothy J. Moroney, Michael C. Dallaston +1
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear moving boundary problem with the fluid velocity related to pressure gradients via a Darcy-…
Implicit reconstructions of thin leaf surfaces from large, noisy point clouds
Riley M. Whebell, Timothy J. Moroney, Ian W. Turner +2
Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We s…
Kelvin wake pattern at small Froude numbers
Ravindra Pethiyagoda, Timothy J. Moroney, Christopher J. Lustri +1
The surface gravity wave pattern that forms behind a steadily moving disturbance is well known to comprise divergent waves and transverse waves, contained within a distinctive V-sh…
Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology
Scott W McCue, Wang Jin, Timothy J Moroney +3
Continuum mathematical models for collective cell motion normally involve reaction-diffusion equations, such as the Fisher-KPP equation, with a linear diffusion term to describe ce…
Moving boundary problems for quasi-steady conduction limited melting
Liam C. Morrow, John R. King, Timothy J. Moroney +1
The problem of melting a crystal dendrite is modelled as a quasi-steady Stefan problem. By employing the Baiocchi transform, asymptotic results are derived in the limit that the cr…
Numerical investigation of controlling interfacial instabilities in non-standard Hele-Shaw configurations
Liam C. Morrow, Timothy J. Moroney, Scott W. McCue
Viscous fingering experiments in Hele-Shaw cells lead to striking pattern formations which have been the subject of intense focus among the physics and applied mathematics communit…
Computational modelling of cardiac ischaemia using a variable-order fractional Laplacian
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang +2
Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry c…
Three dimensional free-surface flow over arbitrary bottom topography
Nicholas R. Buttle, Ravindra Pethiyagoda, Timothy J. Moroney +1
We consider steady nonlinear free surface flow past an arbitrary bottom topography in three dimensions, concentrating on the shape of the wave pattern that forms on the surface of…
Efficient computation of two-dimensional steady free-surface flows
Ravindra Pethiyagoda, Timothy J. Moroney, Scott W. McCue
We consider a family of steady free-surface flow problems in two dimensions, concentrating on the effect of nonlinearity on the train of gravity waves that appear downstream of a d…
Extending fields in a level set method by solving a biharmonic equation
Timothy J. Moroney, Dylan R. Lusmore, Scott W. McCue +1
We present an approach for computing extensions of velocities or other fields in level set methods by solving a biharmonic equation. The approach differs from other commonly used a…
Time-frequency analysis of ship wave patterns in shallow water: modelling and experiments
Ravindra Pethiyagoda, Timothy J. Moroney, Gregor J. MacFarlane +2
A spectrogram of a ship wake is a heat map that visualises the time-dependent frequency spectrum of surface height measurements taken at a single point as the ship travels by. Spec…
Spectrograms of ship wakes: identifying linear and nonlinear wave signals
Ravindra Pethiyagoda, Scott W. McCue, Timothy J. Moroney
A spectrogram is a useful way of using short-time discrete Fourier transforms to visualise surface height measurements taken of ship wakes in real world conditions. For a steadily…
Wake angle for surface gravity waves on a finite depth fluid
Ravindra Pethiyagoda, Scott W. McCue, Timothy J. Moroney
Linear water wave theory suggests that wave patterns caused by a steadily moving disturbance are contained within a wedge whose half-angle depends on the depth-based Froude number…
Saffman-Taylor fingers with kinetic undercooling
Bennett P. J. Gardiner, Scott W. McCue, Michael C. Dallaston +1
The mathematical model of a steadily propagating Saffman-Taylor finger in a Hele-Shaw channel has applications to two-dimensional interacting streamer discharges which are aligned…
What is the apparent angle of a Kelvin ship wave pattern?
Ravindra Pethiyagoda, Scott W. McCue, Timothy J. Moroney
While the half-angle which encloses a Kelvin ship wave pattern is commonly accepted to be 19.47 degrees, recent observations and calculations for sufficiently fast-moving ships sug…
Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns
Ravindra Pethiyagoda, Scott W. McCue, Timothy J. Moroney +1
The nonlinear problem of steady free-surface flow past a submerged source is considered as a case study for three-dimensional ship wave problems. Of particular interest is the dist…