113 citations · 784 across the 51 of their papers we have counts for
6 papers · 1 filter
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…
Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion
Matthew J Simpson, Keeley M Murphy, Scott W McCue +1
Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion…
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…
Two-interface and thin filament approximation in Hele--Shaw channel flow
Michael C Dallaston, Michael J W Jackson, Liam C Morrow +1
When a viscous fluid partially fills a Hele--Shaw channel, and is pushed by a pressure difference, the fluid interface is unstable due to the Saffman--Taylor instability. We consid…
Locating complex singularities of Burgers' equation using exponential asymptotics and transseries
Christopher J. Lustri, Ines Aniceto, Daniel J. VandenHeuvel +1
Burgers' equation is an important mathematical model used to study gas dynamics and traffic flow, among many other applications. Previous analysis of solutions to Burgers' equation…
Survival, extinction, and interface stability in a two--phase moving boundary model of biological invasion
Matthew J Simpson, Nizhum Rahman, Scott W McCue +1
We consider a moving boundary mathematical model of biological invasion. The model describes the spatiotemporal evolution of two adjacent populations: each population undergoes lin…