4.6 Article

A statistical mechanics framework for the large-scale structure of turbulent von Karman flows

期刊

NEW JOURNAL OF PHYSICS
卷 17, 期 -, 页码 -

出版社

IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/6/063006

关键词

Von Karman; statistical mechanics; turbulence; ferro-magnetism; coherent structures

资金

  1. CNRS
  2. CEA
  3. European Community (EuHit) [312778]
  4. European Community (ERC) [240579]
  5. French Agence Nationale de la Recherche [ANR-12-BS09-011-04]
  6. European Research Council (ERC) [240579] Funding Source: European Research Council (ERC)

向作者/读者索取更多资源

In the present paper, recent experimental results on large-scale coherent steady states observed in experimental von Karman flows are revisited from a statistical mechanics perspective. The latter is rooted on two levels of description. We first argue that the coherent steady states may be described as the equilibrium states of well-chosen lattice models, which can be used to define global properties of von Karman flows, such as their temperatures. The equilibrium description is then enlarged, in order to reinterpret a series of results about the stability of those steady states and their susceptibility to symmetry breaking, in the light of a deep analogy with the statistical theory of ferro-magnetism.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.6
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Mechanics

Weak formulation and scaling properties of energy fluxes in three-dimensional numerical turbulent Rayleigh-Benard convection

Valentina Valori, Alessio Innocenti, Berengere Dubrulle, Sergio Chibbaro

JOURNAL OF FLUID MECHANICS (2020)

Article Physics, Multidisciplinary

Sub-grid modelling for a diffusive lattice gas

V Labarre, B. Dubrulle, D. Paillard

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2020)

Article Physics, Fluids & Plasmas

Transition from non-swirling to swirling axisymmetric turbulence

Zecong Qin, Hugues Faller, Berengere Dubrulle, Aurore Naso, Wouter J. T. Bos

PHYSICAL REVIEW FLUIDS (2020)

Article Physics, Multidisciplinary

A Maximum Entropy Production Hypothesis for Time Varying Climate Problems: Illustration on a Conceptual Model for the Seasonal Cycle

Vincent Labarre, Didier Paillard, Berengere Dubrulle

ENTROPY (2020)

Article Computer Science, Interdisciplinary Applications

Turbulence in realistic geometries with moving boundaries: When simulations meet experiments

L. Cappanera, P. Debue, H. Faller, D. Kuzzay, E-W Saw, C. Nore, J-L Guermond, F. Daviaud, C. Wiertel-Gasquet, B. Dubrulle

Summary: This paper investigates the comparison between experimental, direct numerical simulation (DNS), and large eddy simulation (LES) results in a von Karman flow, where two counter-rotating impellers are driving the fluid in a cylindrical container. The study validates the proposed LES model and demonstrates a high level of agreement between numerical and experimental data, indicating that each technique can be used with high confidence to explore and understand turbulence in complex flows at Reynolds numbers of O(10^5) and beyond.

COMPUTERS & FLUIDS (2021)

Article Mechanics

On the nature of intermittency in a turbulent von Karman flow

H. Faller, D. Geneste, T. Chaabo, A. Cheminet, V. Valori, Y. Ostovan, L. Cappanera, Ch. Cuvier, F. Daviaud, J. -M. Foucaut, J. -L. Guermond, J. -Ph. Laval, C. Nore, V. Padilla, C. Wiertel, B. Dubrulle

Summary: Through numerical and experimental data, the study finds that the structure functions of small scale turbulence exhibit a generalized extended scaling and have consistent multi-fractal spectra, supporting a local refined hypothesis. Both areas of strong vorticity and strong local energy transfer show high intermittency and correlation. In the shear layer, there is a stronger correlation between vorticity and local energy transfer, possibly indicating a self-similar quasi-singular structure dominating the scaling properties of large order structure functions.

JOURNAL OF FLUID MECHANICS (2021)

Article Mechanics

Three-dimensional analysis of precursors to non-viscous dissipation in an experimental turbulent flow

P. Debue, V. Valori, C. Cuvier, F. Daviaud, J. -M. Foucaut, J. -P. Laval, C. Wiertel, V. Padilla, B. Dubrulle

Summary: By studying the three-dimensional structure of turbulent velocity fields around extreme events of local energy transfer in the dissipative range, it was found that most extreme events of local energy transfer correspond to the vortex stretching topology, with large velocity and vorticity norms, and the structure of the vorticity field around these events agrees with previous observations.

JOURNAL OF FLUID MECHANICS (2021)

Article Thermodynamics

Optimization of regularized B-spline smoothing for turbulent Lagrangian trajectories

Adam Cheminet, Yasar Ostovan, Valentina Valori, Christophe Cuvier, Fancois Daviaud, Paul Debue, Berengere Dubrulle, Jean-Marc Foucaut, Jean-Philippe Laval

Summary: The study investigates denoising of Lagrangian trajectories using regularized B-spline and introduces innovative tuning strategies to optimize algorithms for 4D-PTV measurements of turbulent flows. The strategies are found to be more adaptable to real experimental noise compared to conventional methods after testing on synthetic trajectories and experimental data.

EXPERIMENTAL THERMAL AND FLUID SCIENCE (2021)

Article Physics, Multidisciplinary

Inverse cascade anomalies in fourth-order Leith models

Simon Thalabard, Sergey Medvedev, Vladimir Grebenev, Sergey Nazarenko

Summary: In this paper, we analyze a family of fourth-order non-linear diffusion models which correspond to local approximations of four-wave kinetic equations of weak wave turbulence. We focus on a class of parameters where a dual cascade behavior is expected, associated with an infrared finite-time singularity related to inverse transfer of waveaction. This case is relevant for wave turbulence in the nonlinear Schrodinger model and gravitational waves in the Einstein's vacuum field model. We show that the inverse transfer is not described by a scaling of the constant-flux solution but has an anomalous scaling. We compute the anomalous exponents and analyze their origin using the theory of dynamical systems.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Multidisciplinary Sciences

Hidden scale invariance in Navier-Stokes intermittency

Alexei A. Mailybaev, Simon Thalabard

Summary: This article reveals a hidden scaling symmetry of the Navier-Stokes equations in the limit of vanishing viscosity. Through dynamical space-time rescaling, this symmetry projects solutions that differ only up to Galilean invariance and global temporal scaling onto the same representative flow. This symmetry statistically repairs the broken scale invariance caused by intermittency in the original formulation.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2022)

Article Chemistry, Physical

Tuning local microstructure of colloidal gels by ultrasound-activated deformable inclusions

Brice Saint-Michel, George Petekidis, Valeria Garbin

Summary: The dynamics of a deformable inclusion, such as a bubble, can be used to locally tune the microstructure of a colloidal gel. Bubble dissolution leads to the formation of a solvent pocket, while ultrasound-induced bubble oscillations rearrange the gel particles into a microstructure with increased local ordering.

SOFT MATTER (2022)

Article Physics, Multidisciplinary

A Model of Interacting Navier-Stokes Singularities

Hugues Faller, Lucas Fery, Damien Geneste, Berengere Dubrulle

Summary: We introduce a model of interacting singularities of Navier-Stokes equations, named pincons. This model can be seen as a generalization of the vorton model of Novikov that was derived for the Euler equations. The pincons exhibit self-motion and can maintain a non-equilibrium state under certain conditions.

ENTROPY (2022)

Review Mathematics, Interdisciplinary Applications

Multi-Fractality, Universality and Singularity in Turbulence

Berengere Dubrulle

Summary: Kolmogorov's theory explains the hierarchical organization of vortices and the universal energy spectrum observed in turbulent flows. However, finer observations reveal intermittency and high velocity derivatives, which can be explained using the concept of multi-fractality.

FRACTAL AND FRACTIONAL (2022)

Review Geosciences, Multidisciplinary

How many modes are needed to predict climate bifurcations? Lessons from an experiment

Berengere Dubrulle, Francois Daviaud, Davide Faranda, Louis Marie, Brice Saint-Michel

Summary: This article explores the scientific admissibility of climate projections and predictions, focusing on transitions between metastable states in atmospheric and oceanic circulations. By examining climate models' ability to replicate spontaneous or forced transitions in weather patterns, the study draws an analogy to laboratory-scale turbulent flows. Factors such as the nature of transitions, degrees of freedom, and the role of fluctuations are investigated, emphasizing the importance of accurately capturing small-scale fluctuations.

NONLINEAR PROCESSES IN GEOPHYSICS (2022)

Article Physics, Fluids & Plasmas

Characterizing most irregular small-scale structures in turbulence using local Holder exponents

F. Nguyen, J-P Laval, B. Dubrulle

PHYSICAL REVIEW E (2020)

暂无数据