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We develop innovative analytical expressions for the mean wind and potential temperature flux profiles in convective boundary layers (CBLs). CBLs are frequently observed during daytime as the Earth's surface is warmed by solar radiation.…

Fluid Dynamics · Physics 2023-08-07 Luoqin Liu , Srinidhi N. Gadde , Richard J. A. M. Stevens

Monin--Obukhov Similarity Theory (MOST), which underpins nearly all bulk estimates of surface fluxes in the atmospheric surface layer, assumes monotonic wind profiles and vertically uniform momentum and heat fluxes. Here, we show that…

The Monin-Obukhov Similarity Theory (MOST) is a cornerstone of atmospheric science for describing turbulence in stable boundary layers. Extending MOST to stably stratified turbulent channel flows, however, is non-trivial due to confinement…

Fluid Dynamics · Physics 2026-01-14 Sanath Kotturshettar , Pedro Costa , Rene Pecnik

Large-eddy simulations are used to evaluate mean profile similarity in the convective boundary layer (CBL). Particular care is taken regarding the grid sensitivity of the profiles and the mitigation of inertial oscillations in the…

Fluid Dynamics · Physics 2024-05-07 Michael Heisel , Marcelo Chamecki

Monin-Obukhov similarity theory (MOST) is used in virtually every Earth System Model (ESM) to parameterize the near-surface turbulent exchanges, however there is high uncertainty in the literature about the appropriate parameterizations to…

Atmospheric and Oceanic Physics · Physics 2023-10-12 Samuele Mosso , Marc Calaf , Ivana Stiperski

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

Monin-Obukhov similarity theory (MOST) is a well-tested approach for specifying the fluxes when the roughness surfaces are homogeneous. For flow over waves (inhomogeneous surfaces), phase-averaged roughness length scales are often…

Fluid Dynamics · Physics 2022-09-08 Aditya K. Aiyer , Luc Deike , Michael E. Mueller

Conventionally neutral atmospheric boundary layers (CNBLs), which are characterized with zero surface potential temperature flux and capped by an inversion of potential temperature, are frequently encountered in nature. Therefore,…

Atmospheric and Oceanic Physics · Physics 2022-07-06 Luoqin Liu , Srinidhi N. Gadde , Richard J. A. M. Stevens

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

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

Scintillometer measurements of the turbulence inner-scale length $l_o$ and refractive index structure function $C_n^2$ allow for the retrieval of large-scale area-averaged turbulent fluxes in the atmospheric surface layer. This retrieval…

Atmospheric and Oceanic Physics · Physics 2013-09-10 Matthew A. Gruber , Gilberto J. Fochesatto

Since the prediction of climate is mainly considered as a prediction of second kind, it is indispensable to assess the accuracy with which these boundary conditions can be determined so that we can find a reasonable answer, whether climate…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Gerhard Kramm , Ralph Dlugi

Monin-Obukhov Similarity Theory (MOST), the traditional surface layer theory used to understand the behavior, scaling and exchange of heat, water vapor and carbon dioxide between the land surface and atmosphere relies on a number of…

Atmospheric and Oceanic Physics · Physics 2025-11-06 Tyler Waterman , Ivana Stiperski , Laura Torres-Rojas , Marc Calaf

The universal velocity log law first proposed by von K\'arm\'an in the near-wall region of turbulent shear flows is one of the cornerstones of turbulence theory. When buoyancy effects are important, the universal velocity log law is…

Fluid Dynamics · Physics 2022-09-16 Yu Cheng , Andrey Grachev , Chiel van Heerwaarden

Monin-Obukhov similarity theory (MOST) stands at the center of understanding of atmospheric surface-layer turbulence. Based on the hypothesis that a single length scale determined by surface fluxes governs the turbulent exchange of…

Atmospheric and Oceanic Physics · Physics 2023-04-05 Ivana Stiperski , Marc Calaf

We develop a multi-range fractional (MRF) model to capture the turbulent spectrum consisting of multiple self-similar ranges impacted by multiple effects. The MRF model is validated using long-term observational atmospheric surface layer…

Fluid Dynamics · Physics 2024-12-25 Fei-Chi Zhang , Jin-Han Xie , Xiaojing Zheng

Vertical profiles for mean wind, standard deviations of velocity fluctuations, and wave-induced part of the momentum flux over a wavy fluid surface are calculated in the Cartesian coordinates on the basis of recent numerical results by…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

In this paper we revise the similarity theory for the stably stratified atmospheric boundary layer (ABL), formulate analytical approximations for the wind velocity and potential temperature profiles over the entire ABL, validate them…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Sergej Zilitinkevich , Igor Esau

We study turbulent flows in planar channels with unstable thermal stratification, using direct numerical simulations in a wide range of Reynolds and Rayleigh numbers and reaching flow conditions which are representative of asymptotic…

Fluid Dynamics · Physics 2017-06-28 Sergio Pirozzoli , Matteo Bernardini , Roberto Verzicco , Paolo Orlandi

Local similarity theory is suggested based on the Brunt-Vaisala frequency and the dissipation rate of turbulent kinetic energy instead the turbulent fluxes used in the traditional Monin-Obukhov similarity theory. Based on dimensional…

Atmospheric and Oceanic Physics · Physics 2015-09-25 Andrey A. Grachev , Edgar L Andreas , Christopher W. Fairall , Peter S. Guest , P. Ola G. Persson
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