84 citations · 390 across the 16 of their papers we have counts for
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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…
Bounds on a singular attractor in Euler using vorticity moments
Robert M. Kerr
A new rescaling of the vorticity moments and their growth terms is used to characterise the evolution of anti-parallel vortices governed by the 3D Euler equations. To suppress unph…
Quaternions and particle dynamics in the Euler fluid equations
John D. Gibbon, Darryl D. Holm, Robert M. Kerr +1
Vorticity dynamics of the three-dimensional incompressible Euler equations is cast into a quaternionic representation governed by the Lagrangian evolution of the tetrad consisting…
The energy budget in Rayleigh-Benard convection
Robert M. Kerr
It is shown using three series of Rayleigh number simulations of varying aspect ratio AR and Prandtl number Pr that the normalized dissipation at the wall, while significantly grea…