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Since we still lack a theory of classical turbulence, attention has focused on the conceptually simpler turbulence in quantum fluids. Can such systems of identical singly-quantized vortices provide a physically accessible "toy model" of the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 A. Guthrie , S. Kafanov , M. T. Noble , Yu. A. Pashkin , G. R. Pickett , V. Tsepelin , A. A. Dorofeev , V. A. Krupenin , D. E. Presnov

The density fluctuations of quantum vortex lines are measured in a turbulent flow of superfluid He, at temperatures corresponding to superfluid fraction of 16%, 47% and 81%. The probe is a micro-fabricated second sound resonator that allows…

Fluid Dynamics · Physics 2021-08-11 Eric Woillez , Jérôme Valentin , Philippe-E Roche

The interstellar medium (ISM) of disk galaxies is turbulent, and yet the fundamental nature of ISM turbulence, the energy cascade, is not understood in detail. In this study, we use high-resolution simulations of a hydrodynamical,…

Astrophysics of Galaxies · Physics 2025-09-16 James R. Beattie , Anne Noer Kolborg , Enrico Ramirez-Ruiz , Christoph Federrath

Light propagation in turbulent media is conventionally studied with the help of the spatio-temporal power spectra of the refractive index fluctuations. In particular, for natural water turbulence several models for the spatial power spectra…

Atmospheric and Oceanic Physics · Physics 2021-01-28 Jinren Yao , Hantao Wang , Huajun Zhang , Jiandong Cai , Mingyuan Ren , Yu Zhang , Olga Korotkova

In this paper we present a unified shell model for stably stratified and convective turbulence. Numerical simulation of this model for stably stratified flow shows Bolgiano-Obukhbov scaling in which the kinetic energy spectrum varies as…

Fluid Dynamics · Physics 2015-05-20 Abhishek Kumar , Mahendra K. Verma

By assuming a self-similar structure for Kelvin waves along vortex loops with successive smaller scale features, we model the fractal dimension of a superfluid vortex tangle in the zero temperature limit. Our model assumes that at each step…

Other Condensed Matter · Physics 2015-05-18 David Jou , Maria Stella Mongiovi' , Michele Sciacca , Carlo F. Barenghi

In classical inviscid fluids, antiparallel vortices perturbed by Kelvin waves exhibit the Crow instability, where the mutual interaction of the Kelvin modes renders them dynamically unstable. This results in the approach and reconnection of…

Quantum Gases · Physics 2025-10-01 Srivatsa B. Prasad , Nick G. Parker , Andrew W. Baggaley

We investigate the effect of a dispersed bubble phase on forced homogeneous and isotropic turbulence using high-resolution high-performance simulations based on the lattice Boltzmann method. While the classical Kolmogorov energy cascade is…

Fluid Dynamics · Physics 2025-09-29 Andrea Montessori , Marco Lauricella , Aritra Mukherjee , Luca Brandt

This paper is concerned with Kolmogorov's two-equation model for the free turbulence in three dimensions. We first discuss scaling laws for slightly more general two-equation models to highlight the special role of the model devised by…

Analysis of PDEs · Mathematics 2022-06-14 Alexander Mielke , Joachim Naumann

Wave turbulence is the study of the long-time statistical behaviour of equations describing a set of weakly non-linear interacting waves. Such a theory, which has a natural asymptotic closure, allows us to probe the nature of turbulence…

Fluid Dynamics · Physics 2023-10-24 Sebastien Galtier

In this work we first briefly review some of the mutual friction effects on vortex lines and rings that were obtained in the context of the truncated Gross-Pitaevskii equation in references Krstulovic \& Brachet [Phys.~Rev.~E…

Other Condensed Matter · Physics 2023-08-16 Giorgio Krstulovic , Marc E. Brachet

The existence of a second quadratic inviscid invariant, the helicity, in a turbulent flow leads to coexisting cascades of energy and helicity. An equivalent of the four-fifth law for the longitudinal third order structure function, which is…

chao-dyn · Physics 2007-05-23 P. D. Ditlevsen , P. Giuliani

We characterize the dynamical instability responsible for the breakdown of regular rows and necklaces of quantized vortices that appear at the interface between two superfluids in relative motion. Making use of a generalized point-vortex…

Quantum Gases · Physics 2024-09-12 Matteo Caldara , Andrea Richaud , Massimo Capone , Pietro Massignan

In the standard picture of fully-developed turbulence, highly intermittent hydrodynamic fields are nonlinearly coupled across scales, where local energy cascades from large scales into dissipative vortices and large density gradients.…

Fluid Dynamics · Physics 2026-01-14 Ishan Srivastava , Andrew J. Nonaka , Weiqun Zhang , Alejandro L. Garcia , John B. Bell

We argue that turbulence in superfluids is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the friction forces acting on a vortex moving with respect to the heat bath, with 1/q playing…

Condensed Matter · Physics 2009-11-10 G. E. Volovik

We present an experimental investigation of intense turbulence generated by a class of low-blockage space-filling fractal square grids. We confirm the existence of a protacted production region followed by a decaying region, as first…

Fluid Dynamics · Physics 2015-05-14 Nicolas Mazellier , Christos Vassilicos

Cosmological shock waves are essential to understanding the formation of cosmological structures. To study them, scientists run computationally expensive high-resolution 3D hydrodynamic simulations. Interpreting the simulation results is…

Instrumentation and Methods for Astrophysics · Physics 2022-11-16 Max Lamparth , Ludwig Böss , Ulrich Steinwandel , Klaus Dolag

The development of turbulence closure models, parametrizing the influence of small non-resolved scales on the dynamics of large resolved ones, is an outstanding theoretical challenge with vast applicative relevance. We present a closure,…

Fluid Dynamics · Physics 2024-06-26 Giulio Ortali , Alessandro Corbetta , Gianluigi Rozza , Federico Toschi

We refute the criticism expressed in a Comment by Krstulovic, L'vov, and Nazarenko [arXiv:2107.10598] on our paper [Phys. Rev. E 103, 023106 (2021)]. We first show that quantization of circulation is not ignored in our analysis. Then, we…

Fluid Dynamics · Physics 2022-03-14 Tomohiro Tanogami

Simulations of turbulent flows in 3D are one of the most expensive simulations in computational fluid dynamics (CFD). Many works have been written on surrogate models to replace numerical solvers for fluid flows with faster, learned,…

Fluid Dynamics · Physics 2024-03-18 Marten Lienen , David Lüdke , Jan Hansen-Palmus , Stephan Günnemann
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