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A vorticity surge event that could be a paradigm for a wide class of bursting events in turbulence is studied to examine how the energy cascade is established and how this event could serve as a new test of LES turbulence models. This…

Chaotic Dynamics · Physics 2009-11-07 Darryl D. Holm , Robert M. Kerr

Non-linear oscillations of an elliptical cylinder, that can rotate about an axis that passes through its symmetry axle due to a torsional spring and hydrodynamic torque produced by the flow of a Newtonian fluid, were analysed in terms of a…

Fluid Dynamics · Physics 2023-07-28 F. Mandujano , E. Vázquez-Luis

Fluid flows are intrinsically characterized via the topology and dynamics of underlying vortex lines. Turbulence in common fluids like water and air, mathematically described by the incompressible Navier-Stokes equations (INSE), engenders…

Fluid Dynamics · Physics 2024-09-23 Dhawal Buaria , John M. Lawson , Michael Wilczek

The observability of the flow field away from the wall in turbulent channel flow is studied using only wall observations. Reconstructions are generated from noiseless but limited wall data using linear stochastic estimation, with emphasis…

Fluid Dynamics · Physics 2019-11-13 Miguel P. Encinar , Javier Jiménez

Streamlines, vortex lines and magnetic flux tubes in turbulent fluids and plasmas display a great amount of coiling, twisting and linking, raising the question as to whether their topological complexity (continually created and destroyed by…

Fluid Dynamics · Physics 2019-07-09 R. G. Cooper , M. Mesgarnezhad , A. W. Baggaley , C. F. Barenghi

Active fluids, such as suspensions of microswimmers, are known to self-organize into complex spatio-temporal flow patterns. An intriguing example is mesoscale turbulence, a state of dynamic vortex structures exhibiting a characteristic…

Soft Condensed Matter · Physics 2025-07-02 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

First, we consider Kolmogorov flow (a shear flow with a sinusoidal velocity profile) for 2D Navier-Stokes equation on a torus. Such flows, also called bar states, have been numerically observed as one type of metastable states in the study…

Analysis of PDEs · Mathematics 2018-10-17 Zhiwu Lin , Ming Xu

Turbulent flows driven by a vertically invariant body force were proven to become exactly two-dimensional above a critical rotation rate, using upper bound theory. This transition in dimensionality of a turbulent flow has key consequences…

Fluid Dynamics · Physics 2023-07-19 Kannabiran Seshasayanan , Basile Gallet

An inverse turbulent cascade in a periodic square box produces a coherent system-sized vortex dipole. We study the statistics of its motion by carrying out direct numerical simulations performed for various bottom friction $\alpha$, pumping…

Fluid Dynamics · Physics 2024-01-25 Vladimir Parfenyev

Temporally periodic solutions are extracted numerically from forced box turbulence with high symmetry. Since they are unstable to small perturbations, they are not found by forward integration but can be captured by Newton-Raphson…

Fluid Dynamics · Physics 2018-04-03 Lennaert van Veen , Shigeo Kida , Genta Kawahara

The fundamental equations that model turbulent flow do not provide much insight into the size and shape of observed turbulent structures. We investigate the efficient and accurate representation of structures in two-dimensional turbulence…

The statistical mechanical description of two-dimensional inviscid fluid turbulence is reconsidered. Using this description, we make predictions about turbulent flow in a rapidly rotating laboratory annulus. Measurements on the continuously…

Soft Condensed Matter · Physics 2009-11-11 Sunghwan Jung , P. J. Morrison , Harry L. Swinney

We present a numerical investigation of three-dimensional, short-wavelength linear instabilities in Kelvin-Helmholtz (KH) vortices in homogeneous and stratified environments. The base flow, generated using two-dimensional numerical…

Fluid Dynamics · Physics 2022-11-28 H. M. Aravind , Manikandan Mathur , Thomas Dubos

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf…

Other Condensed Matter · Physics 2015-05-13 N. G. Parker , B. Jackson , A. M. Martin , C. S. Adams

Expanding our previous work on turbulent whirls [1] we have uncovered a similarity within the similarity shared by intense vortices. Using the new information we compress the tangential velocity profiles of a diverse set of vortices into…

Astrophysics of Galaxies · Physics 2010-12-08 Georgios H. Vatistas

We stabilize two-dimensional turbulent Kolmogorov flow by selectively altering the time rate of change of inviscid invariants (energy and enstrophy) of the flow. This method has earlier been demonstrated to modify the two-dimensional…

Fluid Dynamics · Physics 2023-12-06 Gaurav Kumar , Aditya G. Nair

Turbulent flows of incompressible liquid in two dimensions are comprised of dense systems of vortices. Such system of vortices can be treated as a fluid and itself could be described in terms of hydrodynamics. We develop the hydrodynamics…

Fluid Dynamics · Physics 2014-09-11 Paul Wiegmann , Alexander G. Abanov

Recent studies suggest that unstable, non-chaotic solutions of the Navier-Stokes equation may provide deep insights into fluid turbulence. In this article, we present a combined experimental and numerical study exploring the dynamical role…

Fluid Dynamics · Physics 2018-08-29 Balachandra Suri , Jeffrey Tithof , Roman O. Grigoriev , Michael F. Schatz

The scale-invariant inverse energy cascade is a hallmark of 2D turbulence, with its theoretical energy spectrum observed in both direct numerical simulations (DNS) and laboratory experiments. Under this scale-invariance assumption, the…

Fluid Dynamics · Physics 2025-03-20 Julie Meunier , Basile Gallet