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5 papers · 2 filters
Inverse cascade anomalies in fourth-order Leith models
Simon Thalabard, Sergey Medvedev, Vladimir Grebenev +1
We analyze a family of fourth-order non-linear diffusion models corresponding to local approximations of 4-wave kinetic equations of weak wave turbulence. We focus on a class of pa…
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…