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Fluid dynamics in intrinsically curved geometries is encountered in many physical systems in nature, ranging from microscopic bio-membranes all the way up to general relativity at cosmological scales. Despite the diversity of applications,…

Fluid Dynamics · Physics 2016-09-02 J. -D. Debus , M. Mendoza , S. Succi , H. J. Herrmann

The direction and magnitude of energy transfer between turbulence scale brought about by external forcing on a turbulent boundary layer are uncovered through the bispectrum, bicoherence, and biphase. The bispectrum is a third-order,…

Fluid Dynamics · Physics 2025-11-18 Clayton P. Byers , Subrahmanyam Duvvuri

The purpose of this work is to investigate whether a cascading process can be associated with the rotational motions of compressible three-dimensional turbulence. This question is examined through the lens of circulicity, a concept related…

Fluid Dynamics · Physics 2024-02-26 Olivier Soulard , Antoine Briard

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

Fluid Dynamics · Physics 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

The Log-Poisson phenomenological description of the turbulent energy cascade is evoked to discuss high-order statistics of velocity derivatives and the mapping between their probability distribution functions at different Reynolds numbers.…

Fluid Dynamics · Physics 2015-05-13 M. Kholmyansky , L. Moriconi , R. M. Pereira , A. Tsinober

Three-dimensional (3D) turbulence has both energy and helicity as inviscid constants of motion. In contrast to two-dimensional (2D) turbulence, where a second inviscid invariant--the enstrophy--blocks the energy cascade to small scales, in…

Chaotic Dynamics · Physics 2009-11-07 Qiaoning Chen , Shiyi Chen , Gregory L. Eyink

Collective movements of bacteria exhibit a remarkable pattern of turbulence-like vortices, in which the Richardson cascade plays an important role. In this work, we examine the energy and enstrophy cascades and their associated lognormal…

Fluid Dynamics · Physics 2024-10-03 Yongxiang Huang

Data from Direct Numerical Simulations of disperse bubbly flows in a vertical channel are used to study the effect of the bubbles on the carrier-phase turbulence. A new method is developed, based on the barycentric map approach, that allows…

Fluid Dynamics · Physics 2021-10-04 Tian Ma , Bernhard Ott , Jochen Frohlich , Andrew D. Bragg

Measurements of atmospheric winds in the mesoscale range (10-500 km) reveal remarkably universal spectra with the $k^{-5/3}$ power law. Despite initial expectations of the inverse energy cascade, as in two-dimensional (2D) turbulence,…

Fluid Dynamics · Physics 2008-05-06 H. Xia , H. Punzmann , G. Falkovich , M. Shats

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni

Turbulence has strong and seemingly random fluctuations. Assessing its repeatability is key to predicting flows in technology and nature, much of which decay as viscosity dissipates energy. Much has been done to this end since the work of…

Fluid Dynamics · Physics 2026-05-11 Noé Clavier , Eberhard Bodenschatz , Florencia Falkinhoff

Large-scale coherent structures are identified in turbulent pipe flow at $Re_\tau=181$ by having long lifetimes, living on large scales and travelling with a certain group velocity. A Characteristic Dynamic Mode Decomposition (CDMD) is used…

Fluid Dynamics · Physics 2023-09-28 Amir Shahirpour , Christoph Egbers , Jörn Sesterhenn

In light of some recent experiments on quasi two-dimensional (2D) turbulent channel flow we provide here a model of the ideal case, for the sake of comparison. The ideal 2D channel flow differs from its 3D counterpart by having a second…

Fluid Dynamics · Physics 2009-04-21 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

According to Richardson's cascade description of turbulence, large vortices break up to form smaller ones, thereby transferring kinetic energy towards smaller scales. Energy dissipation occurs at the smallest scales due to viscosity. We…

Chaotic Dynamics · Physics 2018-04-12 Tamás Kalmár-Nagy , Bendegúz Dezső Bak

The inverse energy cascade in turbulent Taylor-Couette flow is studied in line with the results of the large eddy simulation. The simulation results show that the inverse energy cascade first occurs within the core region of the flow…

Fluid Dynamics · Physics 2026-04-13 Changquan Zhou , Hua-Shu Dou , Lin Niu , Wenqian Xu

We investigate the dynamics of energy cascades in quantum turbulence by directly observing the vorticity distributions in numerical simulations of the Gross-Pitaevskii equation. By Fourier filtering each scale of the vorticity distribution,…

Quantum Gases · Physics 2018-07-17 Tsuyoshi Kadokura , Hiroki Saito

Velocity differences in the direct enstrophy cascade of two-dimensional turbulence are correlated with the underlying flow topology. The statistics of the transverse and longitudinal velocity differences are found to be governed by…

Chaotic Dynamics · Physics 2013-05-29 W. Brent Daniel , Maarten A. Rutgers

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

Fluid Dynamics · Physics 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

We study the intermittency properties of the energy and helicity cascades in two 1536^3 direct numerical simulations of helical rotating turbulence. Symmetric and anti-symmetric velocity increments are examined, as well as probability…

Fluid Dynamics · Physics 2015-05-14 P. D. Mininni , A. Pouquet
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