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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

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

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

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

The Monin--Obukhov similarity theory-based wind speed and potential temperature profiles are inherently coupled to each other. We have developed hybrid approaches to disentangle them, and as a direct consequence, the estimation of Obukhov…

Atmospheric and Oceanic Physics · Physics 2018-09-10 Sukanta Basu

For more than five decades, a notable spread in the low frequencies of velocity and temperature spectra, scaled using inertial subrange properties and Monin-Obukhov similarity theory, has been observed in unstable stratification. A large…

Fluid Dynamics · Physics 2023-11-08 Claudine Charrondière , Ivana Stiperski

We compare different approaches towards an effective description of multi-scale velocity field correlations in turbulence. Predictions made by the operator product expansion, the so-called fusion rules, are placed in juxtaposition to an…

Fluid Dynamics · Physics 2018-09-18 Jan Friedrich , Georgios Margazoglou , Luca Biferale , Rainer Grauer

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

The Davenport spectrum is a modification of the classical Kolmogorov spectrum for the inertial range of turbulence that accounts for non-scaling low frequency behavior. Like the classical fractional Brownian motion vis-\`a-vis the…

Statistics Theory · Mathematics 2018-08-16 B. Cooper Boniece , Gustavo Didier , Farzad Sabzikar

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

Irregularly sampled multivariate event streams remain a stubbornly difficult modality for generative modeling: tokenization-based approaches break down when inter-event intervals vary by orders of magnitude, and neural temporal point…

Machine Learning · Computer Science 2026-05-15 Mohammad R. Rezaei , Tejas Balaji , Rahul G. Krishnan

Complex systems often involve random fluctuations for which self-similar properties in space and time play an important role. Fractional Brownian motions, characterized by a single scaling exponent, the Hurst exponent $H$, provide a…

Fluid Dynamics · Physics 2021-05-10 J. Friedrich , J. Peinke , A. Pumir , R. Grauer

A model based on two-point closure theory of turbulence is proposed and applied to study the Reynolds number dependency of the scalar flux spectra in homogeneous shear flow with a cross-stream uniform scalar gradient. For the cross-stream…

Classical Physics · Physics 2007-12-19 Wouter J. T. Bos , Jean-Pierre Bertoglio

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

Simulating complex gas flows from turbulent to rarefied regimes is a long-standing challenge, since turbulence and rarefied flow represent contrasting extremes of computational aerodynamics. We propose a multiscale method to bridge this…

Fluid Dynamics · Physics 2024-08-16 Songyan Tian , Lei Wu

An expression for the mutual coherence function (MCF) of an electromagnetic beam wave propagating through atmospheric turbulence is derived within the confines of the Rytov approximation. It is shown that both the first and second Rytov…

Atmospheric and Oceanic Physics · Physics 2008-06-06 Robert M. Manning

We develop a powerful yet simple method that generates multifractal fields with fully controlled scaling properties. Adopting the Multifractal Random Walk (MRW) model of Bacry et al. (2001), synthetic multifractal fields are obtained from…

Statistical Mechanics · Physics 2026-02-10 Samy Lakhal , Laurent Ponson , Michael Benzaquen , Jean-Philippe Bouchaud

We present a predictive master spectrum describing turbulence-like flows in microfluidic systems. Extending Pao's viscous-range closure, the model introduces (i) an adaptive inertial-range slope dependent on measurable dimensionless numbers…

Fluid Dynamics · Physics 2025-12-16 Chit Yau Kuan , Xiaochen Liu , Yi-Ping Ho , Ken-Tye Yong

Stratification can cause turbulence spectra to deviate from Kolmogorov's isotropic -5/3 power-law scaling in the universal equilibrium range at high Reynolds numbers. However, a consensus has not been reached with regard to the exact shape…

Fluid Dynamics · Physics 2018-10-22 Yu Cheng , Qi Li , Stefania Argentini , Chadi Sayde , Pierre Gentine

We present an information-based uncertainty quantification method for general Markov Random Fields. Markov Random Fields (MRF) are structured, probabilistic graphical models over undirected graphs, and provide a fundamental unifying…

Machine Learning · Statistics 2021-07-20 Panagiota Birmpa , Markos A. Katsoulakis
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