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Thermal noise competes with turbulent fluctuations below millimeter scales
Dmytro Bandak, Gregory L. Eyink, Alexei Mailybaev +1
Turbulent flows frequently accompany physical, chemical and biological processes, such as mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all…
Dissipation-Range Fluid Turbulence and Thermal Noise
Gregory Eyink, Dmytro Bandak, Nigel Goldenfeld +1
We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid turbulence, and estimate the scale at which they become important. As anticipated by Betc…
Stability of tangential discontinuity for the vortex pancakes
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
Within the incompressible three-dimensional Euler equations, we study the pancake-like high vorticity regions, which arise during the onset of developed hydrodynamic turbulence. We…
Hidden scale invariance in Navier-Stokes intermittency
Alexei A. Mailybaev, Simon Thalabard
We expose a hidden scaling symmetry of the Navier-Stokes equations in the limit of vanishing viscosity, which stems from dynamical space-time rescaling around suitably defined Lagr…
Solvable intermittent shell model of turbulence
Alexei A. Mailybaev
We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling of structure functions. This model is solved analytically with the explic…
Validation and application of the lattice Boltzmann algorithm for a turbulent immiscible Rayleigh-Taylor system
Hugo S. Tavares, Luca Biferale, Mauro Sbragaglia +1
We develop a multicomponent lattice Boltzmann (LB) model for the 2D Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. In the immiscible case this me…