Zobrazeno 1 - 10
of 344
pro vyhledávání: '"McCue, A W"'
We study self-similar viscous fingering for the case of divergent flow within a wedge-shaped Hele-Shaw cell. Previous authors have conjectured the existence of a countably-infinite number of selected solutions, each distinguished by a different value
Externí odkaz:
http://arxiv.org/abs/2403.08671
Autor:
Simpson, Matthew J, McCue, Scott W
This review provides open-access computational tools that support a range of mathematical approaches to analyse three related scalar reaction-diffusion models used to study biological invasion. Starting with the classic Fisher-Kolmogorov (Fisher-KPP)
Externí odkaz:
http://arxiv.org/abs/2403.01667
The study of viscous thin film flow has led to the development of highly nonlinear partial differential equations that model how the evolution of the film height is affected by different forces. We investigate a model of interaction between surface t
Externí odkaz:
http://arxiv.org/abs/2403.00301
Autor:
Huet, Olivier D. Y., Pethiyagoda, Ravindra, Moroney, Timothy J., Kumar, Arvind, Taylor, Philip, Cooper-White, Justin J., McCue, Scott W.
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 InterFoam solver (OpenFOAM software), which uses the volume-of-fluid
Externí odkaz:
http://arxiv.org/abs/2310.13288
Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion are routi
Externí odkaz:
http://arxiv.org/abs/2310.07938
Autor:
Whebell, Riley M., Moroney, Timothy J., Turner, Ian W., Pethiyagoda, Ravindra, Wille, Marie-Luise, Cooper-White, Justin J., Kumar, Arvind, Taylor, Philip, McCue, Scott W.
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 features (on the order of 100$\mathrm{\mu m}$) such as ridges and hairs on
Externí odkaz:
http://arxiv.org/abs/2309.09425
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 consider the evolution of a fluid region of finite extent, bounded between t
Externí odkaz:
http://arxiv.org/abs/2308.08846
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 shows an infinite stream of simple poles born at t = 0^+, emerging ra
Externí odkaz:
http://arxiv.org/abs/2307.10508
We consider a moving boundary mathematical model of biological invasion. The model describes the spatiotemporal evolution of two adjacent populations: each population undergoes linear diffusion and logistic growth, and the boundary between the two po
Externí odkaz:
http://arxiv.org/abs/2306.15379
Autor:
VandenHeuvel, Daniel J., Lustri, Christopher J., King, John R., Turner, Ian W., McCue, Scott W.
Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations in one spatial direction and traffic flow, for example. Following on from previous work, we analyse solutions to Burgers' equation in the
Externí odkaz:
http://arxiv.org/abs/2208.05652