12 citations · 22 across the 5 of their papers we have counts for
6 papers
Vortex filament dynamics and vortex ring motion revisited
Andrew D Gilbert
The motion of a slender vortex in ideal incompressible fluid is a classic problem in hydrodynamics. Formulae for the velocity of a vortex ring go back to work of Kelvin, Helmholtz,…
Zonostrophic instabilities in magnetohydrodynamic Kolmogorov flow
Azza M Algatheem, Andrew D Gilbert, Andrew S Hillier
This paper concerns the stability of Kolmogorov flow u = (0, sin x) in the infinite (x,y)-plane. A mean magnetic field of strength B0 is introduced and the MHD linear stability pro…
An analytical study of the MHD clamshell instability on a sphere
Chen Wang, Andrew D. Gilbert, Joanne Mason
This paper studies the instability of two-dimensional magnetohydrodynamic (MHD) systems on a sphere using analytical methods. The underlying flow consists of a zonal differential r…
Critical-layer instability of shallow water magnetohydrodynamic shear flows
Chen Wang, Andrew Gilbert, Joanne Mason
In this paper, the instability of shallow water shear flow with a sheared parallel magnetic field is studied. Waves propagating in such magnetic shear flows encounter critical leve…
A filamentary cascade model of the inertial range
Stephen Childress, Andrew G. Gilbert
This paper develops a simple model of the inertial range of turbulent flow, based on a cascade of vortical filaments. A binary branching structure is proposed, involving the splitt…
Oscillating Ponomarenko dynamo in the highly conducting limit
Marine Peyrot, Andrew Gilbert, Franck Plunian
This paper considers dynamo action in smooth helical flows in cylindrical geometry, otherwise known as Ponomarenko dynamos, with periodic time dependence. An asymptotic framework i…