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We introduce an analytical model that describes the vertical structure of Ekman boundary layer flows coupled to the Monin-Obukhov Similarity Theory (MOST) surface layer representation, which is valid for conventionally neutral (CNBL) and…

Fluid Dynamics · Physics 2024-12-04 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

A quantitative understanding of the dominant mechanisms that govern the generation and decay of the counter-rotating vortex pair (CVP) produced by yawed wind turbines is needed to fully realize the potential of yawing for wind farm power…

Fluid Dynamics · Physics 2020-10-28 Carl R. Shapiro , Dennice F. Gayme , Charles Meneveau

Accurately estimating latent velocity vector fields of atmospheric winds is crucial for understanding weather phenomena. Direct measurement of atmospheric winds is costly, especially in the upper atmosphere, so researchers attempt to…

Applications · Statistics 2025-06-12 Youssef Fahmy , Maria Laura Battagliola , Joseph Guinness

Observations show that geomagnetic field lines follow closely the atmospheric circulation patterns and that geomagnetic field variations are precursors to climate change . The exact mechanism for the observed close relationship between…

General Physics · Physics 2007-05-23 A. Mary Selvam

We are interested here in describing the linear response of the ocean to some wind forcing, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another - much…

Analysis of PDEs · Mathematics 2012-07-03 Anne-Laure Dalibard , Laure Saint-Raymond

Motivated by the relevance of edge state solutions as mediators of transition, we use direct numerical simulations to study the effect of spatially non-uniform viscosity on their energy and stability in minimal channel flows. What we seek…

Fluid Dynamics · Physics 2018-02-14 Enrico Rinaldi , Philipp Schlatter , Shervin Bagheri

Response modes computed via linear resolvent analysis of a turbulent mean-flow field have been shown to qualitatively capture characteristics of the observed turbulent coherent structures in both wall-bounded and free shear flows. To make…

Fluid Dynamics · Physics 2021-05-12 Ethan Pickering , Georgios Rigas , Oliver T. Schmidt , Denis Sipp , Tim Colonius

Recent laboratory experiments have revealed that important insights into the physical processes involved in the wind-driven generation of surface waves may be obtained by varying the viscosity of the carrying liquid over several orders of…

Fluid Dynamics · Physics 2023-04-12 Florent Burdairon , Jacques Magnaudet

To aid in prediction of turbulent boundary layer flows over rough surfaces, a new model is proposed to estimate hydrodynamic roughness based solely on geometric surface information. The model is based on a fluid-mechanics motivated…

Fluid Dynamics · Physics 2024-12-18 Charles Meneveau , Nicholas Hutchins , Daniel Chung

A coastal eddy is modelled as a barotropic vortex propagating along a coastal shelf. If the vortex speed matches the phase speed of any coastal trapped shelf wave modes, a shelf wave wake is generated leading to a flux of energy from the…

Fluid Dynamics · Physics 2023-06-22 Matthew N. Crowe , Edward R. Johnson

We investigate a hierarchy of eddy-viscosity terms in POD Galerkin models to account for a large fraction of unresolved fluctuation energy. These Galerkin methods are applied to Large Eddy Simulation data for a flow around the vehicle-like…

Fluid Dynamics · Physics 2015-06-17 Jan Östh , Bernd R. Noack , Siniša Krajnović , Diogo Barros , Jacques Borée

The mesoscale eddy field plays a key role in the mixing and transport of physical and biological properties and redistribute energy budgets in the ocean. Eddy kinetic energy is commonly defined as the kinetic energy of the time-varying…

Atmospheric and Oceanic Physics · Physics 2019-11-27 Josué Martínez-Moreno , Andrew McC. Hogg , Andrew E. Kiss , Navid C. Constantinou , Adele K. Morrison

Statistical descriptions of coherent flow motions in the atmospheric boundary layer have many applications in the wind engineering community. For instance, the dynamical characteristics of large-scale motions in wall-turbulence play an…

Fluid Dynamics · Physics 2019-05-01 Dominik Krug , Woutijn J. Baars , Nicholas Hutchins , Ivan Marusic

The Ekman boundary layer is a fundamental concept in fluid dynamics that describes fluid motion near boundaries affected by Earth's rotation. Most theoretical studies have simplified their analysis by assuming a planar boundary surface,…

Mathematical Physics · Physics 2025-12-23 Yifei Jia , Yi Du , Lihui Guo

Vertical mixing is a crucial disequilibrium process in exoplanet atmospheres, significantly impacting chemical abundance and observed spectra. While current state-of-the-art observations have detected its signatures, the effect of vertical…

Earth and Planetary Astrophysics · Physics 2024-10-17 Vikas Soni , Kinsuk Acharyya

Coarse resolution numerical ocean models must typically include a parameterisation for mesoscale turbulence. A common recipe for such parameterisations is to invoke down-gradient mixing, or diffusion, of some tracer quantity, such as…

Fluid Dynamics · Physics 2016-08-03 Julian Mak , James R. Maddison , David P. Marshall

Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind…

Analysis of PDEs · Mathematics 2020-05-29 D. Blömker , Jinqiao Duan , T. Wanner

Simulations of stochastically forced shear-flow turbulence in a shearing-periodic domain are used to study the spontaneous generation of large-scale flow patterns in the direction perpendicular to the plane of the shear. Based on an…

Astrophysics · Physics 2009-01-09 Petri J. Käpylä , Dhrubaditya Mitra , Axel Brandenburg

A new class of analytical 2-D solutions of the full set of the steady magnetohydrodynamic (MHD) equations, describing an axisymmetric helicoidal magnetized outflow originating from a rotating central object, is presented. The solutions are…

Astrophysics · Physics 2009-11-06 J. J. G. Lima , E. R. Priest , K. Tsinganos

The large-scale/long-time transport of inertial particles of arbitrary mass density under gravity is investigated by means of a formal multiple-scale perturbative expansion in the scale-separation parametre between the carrier flow and the…

Fluid Dynamics · Physics 2019-02-13 Marco Martins Afonso , Andrea Mazzino , Paolo Muratore-Ginanneschi