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A unified subgrid-scale (SGS) and wall model for large-eddy simulation (LES) is proposed by devising the flow as a collection of building blocks that enables the prediction of the eddy viscosity. The core assumption of the model is that…

The radius of maximum wind ($R_{max}$) in a hurricane governs the footprint of hazards, particularly damaging wind and rainfall. However, $R_{max}$ is noisy to observe directly and is poorly resolved in reanalyses and climate models. In…

Atmospheric and Oceanic Physics · Physics 2022-05-11 Daniel R Chavas , John A Knaff

An understanding of wind speed and direction as a function of height are critical to the proper modeling of atmospheric turbulence. We have used radiosonde data from launch sites near significant astronomical observatories and created mean…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Lewis C. Roberts, , L. William Bradford

We derive boundary conditions and estimates based on the energy and entropy analysis of systems of the nonlinear shallow water equations in two spatial dimensions. It is shown that the energy method provides more details, but is fully…

Analysis of PDEs · Mathematics 2022-04-25 Jan Nordström , Andrew R. Winters

High-fidelity wall-resolved large-eddy simulations (LES) are utilized to investigate the flow-physics of small-amplitude pitch oscillations of an airfoil at Re = 100,000. The investigation of the unsteady phenomenon is done in the context…

The aim of this paper is to contribute to the understanding and to model the processes controlling the amplitude of the wind of Rayleigh-Benard convection. We analyze results from direct simulation of an L/H = 4 aspect-ratio domain with…

Fluid Dynamics · Physics 2009-09-29 Maarten van Reeuwijk , Harm J. J. Jonker , Kemo Hanjalic

Research on data-driven ocean models has progressed rapidly in recent years; however, the application of these models to global eddy-resolving ocean forecasting remains limited. The accurate representation of ocean dynamics across a wide…

Machine Learning · Computer Science 2026-01-21 Yuta Hirabayashi , Daisuke Matusoka , Konobu Kimura

Flows of granular media down a rough inclined plane demonstrate a number of nonlocal phenomena. We apply the recently proposed nonlocal granular fluidity model to this geometry and find that the model captures many of these effects.…

Soft Condensed Matter · Physics 2014-08-25 Ken Kamrin , David Henann

Boundary layer turbulence, particularly the vertical fluxes of momentum, shapes the evolution of winds and currents and plays a critical role in weather, climate, and biogeochemical processes. In this work, a unified, data-driven…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Renaud Falga , Sara Shamekh , Laure Zanna

The emerging push of the differentiable programming paradigm in scientific computing is conducive to training deep learning turbulence models using indirect observations. This paper demonstrates the viability of this approach and presents…

Fluid Dynamics · Physics 2021-04-13 Carlos A. Michelén Ströfer , Heng Xiao

In this study, we derive an analytical solution to address the problem of one-dimensional vertical infiltration within bounded profiles. We consider the Richards equation together with various boundary conditions, simulating different…

Analysis of PDEs · Mathematics 2025-03-25 Ioannis Argyrokastritis , Konstantinos Kalimeris , Leonidas Mindrinos

We use a theoretical frame-work to analytically assess temporal prediction error functions on von-Karman turbulence when a zonal representation of wave-fronts is assumed. Linear prediction models analysed include auto-regressive of order up…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Kate Jackson , Carlos Correia , Olivier Lardiere , Dave Andersen , Colin Bradley

Offshore wind energy development is underway in the U.S., with proposed sites located in hurricane-prone regions. Turbine design criteria outlined by the International Electrotechnical Commission do not encompass the extreme wind speeds and…

Atmospheric and Oceanic Physics · Physics 2017-08-02 Rochelle P. Worsnop , Julie K. Lundquist , George H. Bryan , Rick Damiani , Walt Musial

Solving the Reynolds-averaged Navier-Stokes equations (RANS) closed with an eddy viscosity computed through a turbulence model is still the leading approach for Computational Fluid Dynamics simulations. Unfortunately, universal models with…

Fluid Dynamics · Physics 2025-09-18 Marco Castelletti , Maurizio Quadrio

We present a simple parameterization for coarse-resolution ocean models. To replace computationally expensive high-resolution ocean models, we develop a computationally cheap parameterization for coarse-resolution models based solely on the…

Fluid Dynamics · Physics 2023-05-10 Louis Thiry , Long Li , Etienne Mémin

We present an efficient technique to study the 1D evolution of instability-generated structure in winds of hot stars out to very large distances (more than 1000 stellar radii). This technique makes use of our previous finding that external…

Astrophysics · Physics 2009-11-10 M. C. Runacres , S. P. Owocki

Obtaining predictive low-order models is a central challenge in fluid dynamics. Data-driven frameworks have been widely used to obtain low-order models of aerodynamic systems; yet, resulting models tend to yield predictions that grow…

The study of elastic surface waves under impedance boundary conditions has become an intensive field of research due to their potential to model a wide range of problems. However, even when the secular equation, which provides the speed of…

Mathematical Physics · Physics 2024-03-28 Fabio Vallejo

This work is devoted to the construction of weakly nonlinear, highly oscillating, current vortex sheet solutions to the incompressible magnetohydrodynamics equations. Current vortex sheets are piecewise smooth solutions to the…

Analysis of PDEs · Mathematics 2018-07-03 Olivier Pierre , Jean-François Coulombel

The estimation of extreme loads from waves is an essential part of the design of an offshore wind turbine. Standard design codes suggest to either use simplified methods based on regular waves, or to perform fully nonlinear computations.…

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