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physics.flu-dyn2025
Forcing regimes in the two-dimensional Navier-Stokes equations
Ritwik Mukherjee, John D. Gibbon, Dario Vincenzi
In the standard theoretical setting of body-forced turbulence, the forcing that sustains the flow is concentrated in a narrow range of length scales. However, in experiments of fra…
physics.flu-dyn2024
Dynamics of vorticity moments in shell models of turbulence: A comparison with the Navier-Stokes equations
John D. Gibbon, Dario Vincenzi
Shell models allow much greater scale separations than those presently achievable with direct numerical simulations of the Navier-Stokes equations. Consequently, they are an invalu…
physics.flu-dyn2006★ 10 cited
Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number
J. D. Gibbon, G. A. Pavliotis
The tradition in Navier-Stokes analysis of finding estimates in terms of the Grashof number $\bG$, whose character depends on the ratio of the forcing to the viscosity , means t…