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Numerical prediction of the interactions between wind and ocean waves is essential for climate modeling and a wide range of offshore operations. Large Eddy Simulation (LES) of the marine atmospheric boundary layer is a practical numerical…

We present large-eddy-simulation (LES) modeling approaches for the simulation of atmospheric boundary layer turbulence that are of direct relevance to wind energy production. In this paper, we study a GABLS benchmark problem using…

Computational Engineering, Finance, and Science · Computer Science 2024-10-02 Ananias Tomboulides Matthew Churchfield , Paul Fischer , Michael Sprague , Misun Min

We discuss a simple analytical model of the turbulent boundary layer (TBL) over flat plane. The model offers an analytical description of the profiles of mean velocity and turbulent activity in the entire boundary region, from the viscous…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Vasil Tiberkevich

A new mixed scaling parameter $Z=z/\sqrt{Lh}$ is proposed for similarity in the stable atmospheric surface layer, where $z$ is the height, $L$ is the Obukhov length, and $h$ is the boundary layer depth. Compared to the parameter $\zeta =…

Atmospheric and Oceanic Physics · Physics 2023-09-01 Michael Heisel , Marcelo Chamecki

One of the main statistical features of near-neutral atmospheric boundary layer (ABL) turbulence is the positive vertical velocity skewness $Sk_w$ above the roughness sublayer or the buffer region in smooth-walls. The $Sk_w$ variations are…

Atmospheric and Oceanic Physics · Physics 2024-08-23 Elia Buono , Gabriel Katul , Michael Heisel , Davide Poggi , Cosimo Peruzzi , Davide Vettori , Costantino Manes

A wall-resolved large-eddy simulation (LES) of the fluid flow around a 30P30N airfoil is conducted at a Reynolds number of Rec=750,000 and an angle of attack (AoA) of 9 degrees. The simulation results are validated against experimental data…

Fluid Dynamics · Physics 2024-11-11 Ricard Montalà , Benet Eiximeno , Arnau Miró , Oriol Lehmkuhl , Ivette Rodriguez

A century after Prandtl's mixing length hypothesis, full-profile scaling of the mixing length in pressure-gradient turbulent boundary layers (PG TBLs) remains debated, especially for adverse pressure gradients (APGs). This work presents a…

Fluid Dynamics · Physics 2026-04-30 Weitao Bi

Quasi-geostrophic (QG) theory is of fundamental importance in the study of large-scale atmospheric flows. In recent years, there has been growing interest in extending the classical QG plus Ekman friction layer model (QG-Ekman) to…

Atmospheric and Oceanic Physics · Physics 2023-03-01 Daniel Bäumer , Sabine Hittmeir , Rupert Klein

The energy- and flux budget (EFB) turbulence closure theory for the atmospheric surface layers in convective and stably stratified turbulence has been developed using budget equations for turbulent energies and fluxes in the Boussinesq…

Atmospheric and Oceanic Physics · Physics 2024-04-19 I. Rogachevskii , N. Kleeorin , S. Zilitinkevich

The Earth has warmed in the last century with the most rapid warming occurring near the surface in the arctic. This enhanced surface warming in the Arctic is partly because the extra heat is trapped in a thin layer of air near the surface…

Atmospheric and Oceanic Physics · Physics 2014-10-01 Richard Davy , Igor Ezau

A similarity transformation for the mean velocity profiles is obtained in sink flow turbulent boundary layers (TBL), including effects of blowing and suction. It is based on symmetry analysis which transforms the governing partial…

Fluid Dynamics · Physics 2017-04-05 Xi Chen , Fazle Hussain

Numerical simulations of 3D, rapidly rotating Rayleigh-Benard convection are performed using an asymptotic quasi-geostrophic model that incorporates the effects of no-slip boundaries through (i) parameterized Ekman pumping boundary…

Fluid Dynamics · Physics 2016-09-21 Meredith Plumley , Keith Julien , Philippe Marti , Stephan Stellmach

We describe a generalization of the Coupled Wake Boundary Layer (CWBL) model for wind-farms that can be used to evaluate the performance of wind-farms under arbitrary wind inflow directions whereas the original CWBL model (Stevens et al.,…

Fluid Dynamics · Physics 2017-07-07 Richard J. A. M. Stevens , Dennice F. Gayme , Charles Meneveau

Site-specific flow and turbulence information are needed for various practical applications, ranging from aerodynamic/aeroelastic modeling for wind turbine design to optical diffraction calculations. Even though highly desirable, collecting…

Atmospheric and Oceanic Physics · Physics 2013-07-10 Yao Wang , Sukanta Basu , Lance Manuel

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

The influence of fixed temperature and fixed heat flux thermal boundary conditions on rapidly rotating convection in the plane layer geometry is investigated for the case of stress-free mechanical boundary conditions. It is shown that…

Fluid Dynamics · Physics 2023-07-19 Michael A. Calkins , Kevin Hale , Keith Julien , David Nieves , Derek Driggs , Philippe Marti

In this article the WKB (Wentzel-Kramers-Brillouin) Prandtl model serves as the baseline for the study of different kinds of slope flows which can occur over inclined surfaces. The Prandtl-type model couples basic boundary-layer dynamics…

Fluid Dynamics · Physics 2023-08-17 Maximilian Arbeiter , Iris Rammelmüller , Gunter Spöck

Non-stationarity is the rule in the atmospheric boundary layer (ABL). Under such conditions, the flow may experience departures from equilibrium with the underlying surface stress, misalignment of shear stresses and strain rates, and…

Fluid Dynamics · Physics 2023-07-27 Weiyi Li , Marco G. Giometto

Wall-bounded turbulent flows are widely observed in natural and engineering systems, such as air flows near the Earth's surface, water flows in rivers, and flows around a car or a plane. The universal logarithmic velocity profile in…

Fluid Dynamics · Physics 2021-03-17 Yu Cheng , Qi Li , Pierre Gentine

Analytic predictions of mean velocity profile (MVP) and streamwise ($x$) development of related integral quantities are presented for flows in channel and turbulent boundary layer (TBL), based on a symmetry analysis of eddy length and total…

Fluid Dynamics · Physics 2016-05-24 Xi Chen , Zhen-Su She