45 citations · 215 across the 28 of their papers we have counts for
29 papers
Simulating passive scalar advection in rough Kraichnan flows
Long Li, André L. P. Considera, Simon Thalabard
We present a systematic Eulerian study of passive scalar advection in rough two-dimensional Kraichnan flows, covering the full range of velocity roughness exponent . The…
Dynamical cooling driven by self-similar fronts in the 2D nonlinear Schrödinger model
Jason Laurie, Simon Thalabard, Sergey Nazarenko
We analyze the dynamics towards partial thermalization and subsequent cooling in the defocusing two-dimensional nonlinear Schrödinger model, using direct simulations and insights f…
Perturbative anomalous exponents from Kolmogorov multipliers
Alexei A. Mailybaev, Simon Thalabard
Intermittency, manifested through anomalous scaling, remains one of the central unresolved problems in turbulence theory, with few analytical approaches extending beyond idealized…
Meltwater transport and mixing layer growth near the ice--ocean interface
Sofía Allende, Louis-Alexandre Couston, Simon Thalabard +1
Ice melting into saline water plays a fundamental role in the dynamics near the ice-ocean interface in polar oceans. The physics of ice melting involves a non-trivial interplay bet…
Blowup driven by critical balance in a differential kinetic model of gravity wave turbulence
Daniel Schubring, Vladimir Rosenhaus, Simon Thalabard
We describe the blowup scenarios in a phase-parametrized differential approximation kinetic model (N-DAM), inspired by the physics of deep water surface gravity waves and recently…
Scale invariance of intermittency in LES turbulence
B. Magacho, S. Thalabard, M. Buzzicotti +3
Turbulent flows exhibit large intermittent fluctuations from inertial to dissipative scales, characterized by multifractal statistics and breaking the statistical self-similarity.…
Surface quasigeostrophic turbulence: The refined study of an active scalar
Nicolas Valade, Jérémie Bec, Simon Thalabard
SQG describes the 2D active transport of a scalar field, such as temperature, which -- when properly rescaled -- shares the same physical dimension of length/time as the advecting…
Transport in multifractal Kraichnan flows: from turbulence to Liouville quantum gravity
André L. P. Considera, Simon Thalabard
We investigate the behavior of fluid trajectories in a multifractal extension of the Kraichnan model of turbulent advection. The model couples a one-dimensional, Gaussian, white-in…
Non-unique self-similar blowups in shell models: insights from dynamical systems and machine-learning
Ciro Campolina, Eric Simonnet, Simon Thalabard
Strong numerical hints exist in favor of a universal blowup scenario in the Sabra shell model, a popular cascade model of 3D turbulence, which features complex velocity variables o…
From zero-mode intermittency to hidden symmetry in random scalar advection
Simon Thalabard, Alexei A. Mailybaev
The statistical behavior of scalars passively advected by random flows exhibits intermittency in the form of anomalous multiscaling, in many ways similar to the patterns commonly o…
Spontaneous stochasticity in the presence of intermittency
André Luís Peixoto Considera, Simon Thalabard
Spontaneous stochasticity is a modern paradigm for turbulent transport at infinite Reynolds numbers. It suggests that tracer particles advected by rough turbulent flows and subject…
Anomalous dissipation and spontaneous stochasticity in deterministic surface quasi-geostrophic flow
Nicolas Valade, Simon Thalabard, Jeremie Bec
Surface quasi geostrophy (SQG) describes the two-dimensional active transport of a temperature field in a strongly stratified and rotating environment. Besides its relevance to geo…
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…
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…
From the butterfly effect to intrinsic randomness: the spontaneous growth of singular shear flows
Simon Thalabard, Jérémie Bec, Alexei Mailybaev
The butterfly effect is today commonly identified with the sensitive dependence of deterministic chaotic systems upon initial conditions. However, this is only one facet of the not…
Turbulence of generalised flows in two dimensions
Simon Thalabard, Jérémie Bec
This paper discusses the generalised least-action principle introduced by Brenier (J. Am. Math. Soc, 1989), from the perspective of turbulence modelling. In essence, Brenier's leas…
Phase transition in time-reversible Navier-Stokes equations
Vishwanath Shukla, Bérengère Dubrulle, Sergey Nazarenko +2
We present a comprehensive study of the statistical features of a three-dimensional time-reversible Navier-Stokes (RNS) system, wherein the standard viscosity is replaced by a…
Nonlinear Diffusion Models for Gravitational Wave Turbulence
Sébastien Galtier, Sergey V. Nazarenko, Éric Buchlin +1
A fourth-order and a second-order nonlinear diffusion models in spectral space are proposed to describe gravitational wave turbulence in the approximation of strongly local interac…
Turbulent Mass Inhomogeneities induced by a point-source
Simon Thalabard
We describe how turbulence distributes tracers away from a localized source of injection, and analyse how the spatial inhomogeneities of the concentration field depend on the amoun…
Optimal response to non-equilibrium disturbances under truncated Burgers-Hopf dynamics
Simon Thalabard, Bruce Turkington
We model and compute the average response of truncated Burgers-Hopf dynamics to finite perturbations away from the Gibbs equipartition energy spectrum using a dynamical optimizatio…
Coarse-graining two-dimensional turbulence via dynamical optimization
Bruce Turkington, Qian-Yong Chen, Simon Thalabard
A model reduction technique based on an optimization principle is employed to coarse-grain inviscid, incompressible fluid dynamics in two dimensions. In this reduction the spectral…
Optimal thermalization in a shell model of homogeneous turbulence
Simon Thalabard, Bruce Turkington
We investigate the turbulence-induced dissipation of the large scales in a statistically homogeneous flow using an "optimal closure," which one of us (BT) has recently exposed in t…
A statistical mechanics framework for the large-scale structure of turbulent von K{á}rm{á}n flows
Simon Thalabard, Brice Saint-Michel, Éric Herbert +2
In the present paper, recent experimental results on large scale coherent steady states observed in experimental von K{á}rm{á}n flows are revisited from a statistical mechanics per…
Anomalous spectral laws in differential models of turbulence
Simon Thalabard, Sergey Nazarenko, Sebastien Galtier +1
Differential models for hydrodynamic, passive-scalar and wave turbulence given by nonlinear first- and second-order evolution equations for the energy spectrum in the -space wer…