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Surface quasi geostrophy (SQG) describes the two-dimensional active transport of a temperature field in a strongly stratified and rotating environment. Besides its relevance to geophysics, SQG bears formal resemblance with various flows of…

Fluid Dynamics · Physics 2022-10-25 Nicolas Valade , Simon Thalabard , Jeremie Bec

We study the statistical and geometrical properties of the potential temperature (PT) field in the Surface Quasigeostrophic (SQG) system of equations. In addition to extracting information in a global sense via tools such as the power…

Chaotic Dynamics · Physics 2009-11-07 Jai Sukhatme , Raymond T. Pierrehumbert

We study the temporal fluctuations of the flux of surface potential energy in Surface Quasi-Geostrophic (SQG) turbulence. By means of high-resolution, direct numerical simulations of the SQG model in the regime of forced and dissipated…

Fluid Dynamics · Physics 2024-06-12 V. J. Valadão , T. Ceccotti , G. Boffetta , S. Musacchio

We establish exact inequalities for the structure-function scaling exponents of a passively advected scalar in both the inertial-convective and viscous-convective ranges. These inequalities involve the scaling exponents of the velocity…

chao-dyn · Physics 2009-10-28 Gregory L. Eyink

Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not…

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

Stability analysis is performed on surface quasigeostrophic systems subjected to a Kolmogorov-type "shear force" on the boundaries using linear and nonlinear approaches. For a SQG system of semi-infinite depth forced on the upper boundary,…

Fluid Dynamics · Physics 2025-11-17 Mac Lee , Stefan Llewellyn Smith

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

We consider the two-dimensional (2D) flow in a flat free-slip surface that bounds a three-dimensional (3D) volume in which the flow is turbulent. The equations of motion for the two-dimensional flow in the surface are neither compressible…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Joerg Schumacher

Two dimensional passive scalar turbulence is studied by means of a k-space diffusion model based on a third order differential approximation. This simple description of local nonlinear interactions in Fourier space is shown to present a…

Fluid Dynamics · Physics 2019-10-08 Pierre Morel , Shaokang Xu , Özgür D. Gürcan

Similarities and differences between Kolmogorov scale-by-scale equilibria/non-equilibria for velocity and scalar fields are investigated in the intermediate layer of a fully developed turbulent channel flow with a passive scalar/temperature…

Fluid Dynamics · Physics 2026-03-06 Emanuele Gallorini , Shingo Motoki , Genta Kawahara , Christos Vassilicos

Numerical and observational evidence indicates that, in regions where mixed-layer instability is active, the surface geostrophic velocity is largely induced by surface buoyancy anomalies. Yet, in these regions, the observed surface kinetic…

Atmospheric and Oceanic Physics · Physics 2022-08-01 Houssam Yassin , Stephen M. Griffies

In this paper we discuss the dynamical features of intermittent fluctuations in homogeneous shear flow turbulence. In this flow the energy cascade is strongly modified by the production of turbulent kinetic energy related to the presence of…

Chaotic Dynamics · Physics 2007-05-23 P. Gualtieri , C. M Casciola , R. Benzi , G. Amati , R. Piva

In this note we examine the dynamical role played by inertial forces on the surface temperature (or buoyancy) variance in strongly rotating, stratified flows with uniform potential vorticity fields. In particular, using a dynamic,…

Mathematical Physics · Physics 2013-10-14 Zachary Bradshaw , Zoran Grujic

Quasi-geostrophic flow is an asymptotic theory for flows in rotating systems that are in geostrophic balance to leading order. It is characterized by the conservation of (quasi-geostrophic) potential vorticity and weak vertical flows.…

Fluid Dynamics · Physics 2025-08-19 Mac Lee , Stefan Llewellyn Smith

Shell models provide a simplified mathematical framework that captures essential features of incompressible fluid turbulence, such as the energy cascade and scaling of the fluid observables. We perform a precision analysis of the direct and…

Fluid Dynamics · Physics 2024-09-19 James Creswell , Viatcheslav Mukhanov , Yaron Oz

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that…

Other Condensed Matter · Physics 2025-10-20 Alex Arenas , Alexandre Chorin

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation…

Fluid Dynamics · Physics 2021-03-17 Nicolás P. Müller , Juan Ignacio Polanco , Giorgio Krstulovic

A major challenge in turbulence research is to understand from first principles the origin of anomalous scaling of the velocity fluctuations in high-Reynolds-number turbulent flows. One important idea was proposed by Kolmogorov [J. Fluid…

Chaotic Dynamics · Physics 2008-04-17 Emily S. C. Ching , H. Guo , T. S. Lo

Kolmogorov's three universal similarity hypotheses are extrapolated to describe scalar fields like temperature mixed by turbulence. By the analogous Kolmogorov third hypothesis for scalars, temperature dissipation rates chi averaged over…

Astrophysics · Physics 2015-06-24 Carl H. Gibson
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