84 citations · 390 across the 16 of their papers we have counts for
16 papers
Trefoil knot structure during reconnection
Robert M. Kerr
Three-dimensional images of evolving numerical trefoil vortex knots are used to study the growth and decay of the enstrophy and helicity. Negative helicity density () plays se…
Scaling of Navier-Stokes trefoil reconnection
Robert M. Kerr
Perturbed, helical trefoil vortex knots and a set of anti-parallel vortices are examined numerically to identify the scaling of their helicity and vorticity norms during reconnecti…
Simulated Navier-Stokes trefoil reconnection
Robert M. Kerr
The evolution and self-reconnection of a perturbed trefoil vortex knot is simulated, then compared to recent experimental measurements (Scheeler et al. 2014a). Qualitative comparis…
Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations
John D. Gibbon, Diego A. Donzis, Anupam Gupta +3
The periodic Navier-Stokes equations are analyzed in terms of dimensionless, scaled, -norms of vorticity (). The first in this hierarchy, $D…
Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations
D. Donzis, J. D. Gibbon, A. Gupta +3
The issue of intermittency in numerical solutions of the 3D Navier-Stokes equations on a periodic box is addressed through four sets of numerical simulations that cal…
Incompressible hydrodynamic turbulence from a chain reaction of vortex reconnection events
Robert M. Kerr
From a new anti-parallel initial condition using long vortices, three-dimensional turbulence forms after two reconnection steps and the formation of at least one vortex ring. The l…