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In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid…

Pattern Formation and Solitons · Physics 2015-06-22 A. Alias , R. H. J. Grimshaw , K. R. Khusnutdinova

Motivated by recent success in the dynamical systems approach to transitional flow, we study the efficiency and effectiveness of extracting simple invariant sets (recurrent flows) directly from chaotic/turbulent flows and the potential of…

Fluid Dynamics · Physics 2015-06-19 Dan Lucas , Rich Kerswell

We present a numerical simulation study of a simple monatomic Lennard-Jones liquid under shear flow, as a function of both temperature and shear rate. By investigating different observables we find that i) It exists a line in the…

Soft Condensed Matter · Physics 2009-11-07 L. Angelani , G. Ruocco , F. Sciortino , P. Tartaglia , F. Zamponi

We generalize the mode-coupling theory of supercooled fluids to systems under stationary shear flow. Our starting point is the generalized fluctuating hydrodynamic equations with a convection term. The method is applied to a two dimensional…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Ryoichi Yamamoto , David R. Reichman

The transient behaviour of highly concentrated colloidal liquids and dynamically arrested states (glasses) under time-dependent shear is reviewed. This includes both theoretical and experimental studies and comprises the macroscopic…

Soft Condensed Matter · Physics 2013-09-03 K J Mutch , M Laurati , C P Amann , M Fuchs , S U Egelhaaf

The dispersion of a passive scalar in a fluid through the combined action of advection and molecular diffusion is often described as a diffusive process, with an effective diffusivity that is enhanced compared to the molecular value.…

Fluid Dynamics · Physics 2015-06-18 P. H. Haynes , J. Vanneste

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

We use high resolution direct numerical simulations to study the anisotropic contents of a turbulent, statistically homogeneous flow with random transitions among multiple energy containing states. We decompose the velocity correlation…

Fluid Dynamics · Physics 2017-07-05 Kartik P. Iyer , Fabio Bonaccorso , Luca Biferale , Federico Toschi

We apply lattice Boltzmann methods to study the segregation of binary fluid mixtures under oscillatory shear flow in two dimensions. The algorithm allows to simulate systems whose dynamics is described by the Navier-Stokes and the…

Soft Condensed Matter · Physics 2009-11-07 Aiguo Xu , G. Gonnella , A. Lamura

Yield stress fluids (YSFs) display a dual nature highlighted by the existence of a yield stress such that YSFs are solid below the yield stress, whereas they flow like liquids above it. Under an applied shear rate $\dot\gamma$, the…

The Smagorinsky model, unmodified, is often reported to severely overdiffuse flows. Previous estimates of the energy dissipation rate of the Smagorinsky model for shear flows reflect a blow up of model energy dissipation as Re increases.…

Numerical Analysis · Mathematics 2016-01-26 William Layton

Global warming is projected to intensify the hydrological cycle, amplifying risks to ecosystems and society. While extreme rainfall appears to exhibit stronger sensitivity to global warming compared to mean rainfall rates, a unifying…

Atmospheric and Oceanic Physics · Physics 2026-01-13 Jun Yin , Bei Gao , Amilcare Porporato

The recent theoretical treatment of irreversible jumps between inherent states with a constant density in shear space is extended to a full theory, attributing the shear relaxation to structural Eshelby rearrangements involving the creation…

Disordered Systems and Neural Networks · Physics 2020-12-29 U. Buchenau

We present a simple model for the development of shear layers between parallel flows in confining channels. Such flows are important across a wide range of topics from diffusers, nozzles and ducts to urban air flow and geophysical fluid…

Fluid Dynamics · Physics 2018-04-09 GP Benham , AA Castrejon-Pita , IJ Hewitt , CP Please , RW Style , P Bird

Using fluctuating hydrodynamics we investigate the effect of thermal fluctuations in the dissipation range of homogeneous, isotropic turbulence. Simulations confirm theoretical predictions that the energy spectrum is dominated by these…

Fluid Dynamics · Physics 2022-04-27 John B. Bell , Andrew Nonaka , Alejandro L. Garcia , Gregory Eyink

The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarises, raising the question of whether it is transient in nature or it becomes…

Fluid Dynamics · Physics 2014-03-31 M. Avila , A. P. Willis , B. Hof

We present a parametric study of a nonlinear diffusion equation which generalises Leith's model of a turbulent cascade to an arbitrary cascade having a single conserved quantity. There are three stationary regimes depending on whether the…

Chaotic Dynamics · Physics 2015-05-27 Colm Connaughton , Rachel McAdams

In this paper, we investigated the statistical differences between active and passive scalars in isotropic compressible turbulence. In the inertial range, the kinetic energy and scalar have the Kolmogorov spectra, and the Kolmogorov and…

Fluid Dynamics · Physics 2015-05-12 Qionglin Ni , Yipeng Shi , Shiyi Chen

The shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the equations contain additional evolution equations…

Classical Physics · Physics 2020-07-16 Sergey Gavrilyuk , Henri Gouin

Data available in literature from direct numerical simulations of two-dimensional turbulent channels by Lee & Moser (2015), Bernardini et al. (2014), Yamamoto and Tsuji (2018) and Orlandi et al. (2015) in a large range of Reynolds number…

Fluid Dynamics · Physics 2019-01-08 Paolo Orlandi