47 citations · 100 across the 8 of their papers we have counts for
9 papers
Dynamics of a two-dimensional microswimmer near a slippery boundary
Takahiro Kanazawa, Darren Crowdy
Microswimmers near walls and interfaces can switch between qualitatively different modes of motion depending on the slip properties of the neighbouring boundaries. To study this th…
Exact solutions for submerged von Kármán point vortex streets cotravelling with a wave on a linear shear current
Jack Keeler, Darren Crowdy
New exact solutions are presented to the problem of steadily-travelling water waves with vorticity wherein a submerged von Kármán point vortex street cotravels with a wave on a lin…
Generalization of waving-plate theory to multiple interacting swimmers
Peter J. Baddoo, Nicholas J. Moore, Anand U. Oza +1
Early research in aerodynamics and biological propulsion was dramatically advanced by the analytical solutions of Theodorsen, von Kármán, Wu and others. While these classical solut…
Liouville chains: new hybrid vortex equilibria of the 2D Euler equation
Vikas S. Krishnamurthy, Miles H. Wheeler, Darren G. Crowdy +1
A large class of new exact solutions to the steady, incompressible Euler equation on the plane is presented. These hybrid solutions consist of a set of stationary point vortices em…
Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls
Darren Crowdy, Elena Luca
New analytical representations of the Stokes flows due to periodic arrays of point singularities in a two-dimensional no-slip channel and in the half-plane near a no-slip wall are…
Hybrid Basis Scheme for computing Electrostatic fields exterior to close-to-touching discs
D. G. Crowdy, S. Tanveer, T. Delillo
This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of close-to-touching discs. The method is prese…
A two-dimensional model of low-Reynolds number swimming beneath a free surface
Darren Crowdy, Sungyon Lee, Ophir Samson +2
Biological organisms swimming at low Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper we present an analysis of locomotio…
Diffusion-Limited Aggregation on Curved Surfaces
Jaehyuk Choi, Darren Crowdy, Martin Z. Bazant
We develop a general theory of transport-limited aggregation phenomena occurring on curved surfaces, based on stochastic iterated conformal maps and conformal projections to the co…
Conformal mapping methods for interfacial dynamics
Martin Z. Bazant, Darren Crowdy
The article provides a pedagogical review aimed at graduate students in materials science, physics, and applied mathematics, focusing on recent developments in the subject. Followi…