12 citations · 22 across the 5 of their papers we have counts for
5 papers · 1 filter
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…