23 citations · 61 across the 8 of their papers we have counts for
9 papers
Computation of 2D Stokes flows via lightning and AAA rational approximation
Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen
Low Reynolds number fluid flows are governed by the Stokes equations. In two dimensions, Stokes flows can be described by two analytic functions, known as Goursat functions. Brubec…
Role of kidney stones in renal pelvis flow
C. R. Constante-Amores, L. Kahouadji, J. G. Williams +6
We examine the time-dependent flow dynamics inside an idealised renal pelvis in the context of a surgical procedure for kidney stone removal, extending previous work by Williams et…
A Homogenised Model of Fluid-String Interaction
A. Kent, S. L. Waters, J. Oliver +1
A homogenised model is developed to describe the interaction between aligned strings and an incompressible, viscous, Newtonian fluid. In the case of many strings, the ratio of stri…
The electric double layer at the interface between a polyelectrolyte gel and salt bath
Matthew G. Hennessy, Giulia L. Celora, Andreas Münch +2
The electric double layer (EDL) that forms at the interface between a polyelectrolyte gel and a salt bath is studied using asymptotic and numerical methods. Specifically, matched a…
A kinetic model of a polyelectrolyte gel undergoing phase separation
Giulia L. Celora, Matthew G. Hennessy, Andreas Münch +2
In this study we use non-equilibrium thermodynamics to systematically derive a phase-field model of a polyelectrolyte gel coupled to a hydrodynamic model for a salt solution surrou…
The dynamics of a collapsing polyelectrolyte gel
Giulia L. Celora, Matthew G. Hennessy, Andreas Münch +2
We analyse the dynamics of different routes to collapse of a constrained polyelectrolyte gel in contact with an ionic bath. The evolution of the gel is described by a model that in…
Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media
Andrew L. Krause, Dmitry Beliaev, Robert A. Van Gorder +1
We study dynamics emergent from a two-dimensional reaction--diffusion process modelled via a finite lattice dynamical system, as well as an analogous PDE system, involving spatiall…
Lattice and Continuum Modelling of a Bioactive Porous Tissue Scaffold
Andrew L. Krause, Dmitry Beliaev, Robert A. Van Gorder +1
A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of n…
On the boundary layer structure near a highly permeable porous interface
Mohit P. Dalwadi, S. Jonathan Chapman, Sarah L. Waters +1
The method of matched asymptotic expansions is used to study the canonical problem of steady laminar flow through a narrow two-dimensional channel blocked by a tight-fitting finite…