Development of high vorticity in incompressible 3D Euler equations: influence of initial conditions

Abstract

The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling ${\omega }_{\max }(t)\propto \ell (t{)}^{-2/3}$ between the vorticity maximum and pancake thickness, and provide the leading contribution to the energy spectrum, where the gradual formation of the Kolmogorov interval $E_k\propto k^{-5/3}$ is observed for some initial flows [Agafontsev et. al, Phys. Fluids 27, 085102 (2015)]. With the massive numerical simulations, in the present paper we study the influence of initial conditions on the processes of pancake formation and the Kolmogorov energy spectrum development.

5 pages, 3 figures

References in corpus (1)

• Development of high vorticity structures in incompressible 3D Euler equations

Cited by in corpus (5)

• Development of high vorticity structures and geometrical properties of the vortex line representation
• Compressible vortex structures and their role in the onset of hydrodynamic turbulence
• Notes about collapse in magnetohydrodynamics
• Statistical properties of the velocity field for the 3D hydrodynamic turbulence onset
• Stability of tangential discontinuity for the vortex pancakes