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To date no satisfying model exists to explain the mean velocity profile within the whole turbulent layer of canonical wall bounded flows. We propose a modification of the velocity profile expression that ensues from a recently proposed…

Fluid Dynamics · Physics 2018-12-10 Benoit Pinier , Etienne Mémin , Sylvain Laizet , Roger Lewandowski

A number of important results of studying large deformations of hyper-elastic shells are obtained using discrete methods of mathematical physics. In the present paper, using the variational method for solving nonlinear boundary problems of…

Analysis of PDEs · Mathematics 2015-06-26 V. A. Trotsenko

Climate change necessitates rapid expansion of renewable energy, with wind energy offering a scalable and low-impact solution. However, accurate prediction of wind loads and power generation remains challenging due to uncertainties in wind…

Fluid Dynamics · Physics 2026-04-30 Omar Sallam , Mirjam Fürth

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

This is our response to a comment by Walter Eifler on our paper `A simple model for the short-time evolution of near-surface current and temperature profiles' (arXiv:physics/0503186, accepted for publication in Deep-Sea Research II).…

Atmospheric and Oceanic Physics · Physics 2009-11-11 Alastair D. Jenkins , Brian Ward

Much theoretical and observational work has been done on stellar winds within binary systems. We present a new solution for a ballistic wind launched from a source in a circular orbit. Our method emphasizes the curved streamlines in the…

Solar and Stellar Astrophysics · Physics 2017-07-26 Francis P. Wilkin , Harry Hausner

We study the so-called homogeneous model of wind-driven ocean circulation, also known as the single-layer quasigeostrophic model. Our attention focuses on performing a complete asymptotic analysis that highlights boundary layer formation…

Analysis of PDEs · Mathematics 2021-08-06 Gabriela López Ruiz

Conventional hurricane track generation methods typically depend on biased outputs from Global Climate Models (GCMs), which undermines their accuracy in the context of climate change. We present a novel dynamic bias correction framework…

Atmospheric and Oceanic Physics · Physics 2025-05-05 Reda Snaiki , Teng Wu

Nor'easters frequently impact the North American East Coast, bringing hazardous precipitation, winds, and coastal flooding. Accurate simulation of their pressure and wind fields is essential for forecasting, risk assessment, and…

Atmospheric and Oceanic Physics · Physics 2025-09-12 Seyedeh Fatemeh Mirfakhar , Reda Snaiki , Frank Lombardo

A simple analytical/numerical model has been developed for computing the evolution, over periods of up to a few hours, of the current and temperature profile in the upper layer of the ocean. The model is based upon conservation laws for…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Alastair D. Jenkins , Brian Ward

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional…

Fluid Dynamics · Physics 2019-05-23 Hanna Holmgren , Gunilla Kreiss

Ocean eddies are swirling mesoscale features that play a fundamental role in oceanic transport and mixing. Eddy identification relies on diagnostic criteria that are inherently nonlinear functions of the flow variables. However, estimating…

Geophysics · Physics 2025-10-06 Charlotte Moser , Nan Chen , Stephen Wiggins

The study presents wall-modeled large-eddy simulations (LES) characterizing the flow features of a neutral atmospheric boundary layer over two urban-like roughness geometries: an array of three-dimensional square prisms and the…

This paper presents a new numerical model based on the highly nonlinear potential flow theory for simulating the propagation of water waves in variable depth. A new set of equations for estimating the surface vertical velocity is derived…

Fluid Dynamics · Physics 2024-12-02 Jinghua Wang

The modified Townsend-Perry attached eddy model of Vassilicos et al (2015) combines the outer peak/plateau behaviour of rms streamwise turbulence velocity profiles and the Townsend-Perry log-decay of these profiles at higher distances from…

Steady-state solutions to the Navier-Stokes equations are known to admit solutions that are singular at the sonic point. Consequently, inviscid solar wind models require special treatment of the solution near the sonic points, and this has…

Solar and Stellar Astrophysics · Physics 2025-12-19 Roger B. Scott , Stephen J. Bradshaw , Mark G. Linton , Chris Lowder , Leonard Strachan

Inability of low-resolution ocean models to simulate many important aspects of the large-scale general circulation is a common problem. In the view of physics, the main reason for this failure are the missed dynamical effects of the…

Atmospheric and Oceanic Physics · Physics 2022-09-16 Igor Shevchenko , Pavel Berloff

Although the two-layer quasi-geostrophic equations (2QGE) are a simplified model for the dynamics of a stratified, wind-driven ocean, their numerical simulation is still plagued by the need for high resolution to capture the full spectrum…

Numerical Analysis · Mathematics 2024-10-29 Lander Besabe , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Analytical wake models provide a computationally efficient means to predict velocity distributions in wind turbine wakes in the atmospheric boundary layer (ABL). Most existing models are developed for neutral atmospheric conditions and…

Fluid Dynamics · Physics 2024-12-17 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

The main objective of this work is to develop a unified framework that can be used as a lens to quantitatively assess and augment a wide range of coarse-grained models of turbulence, viz. large eddy simulations (LES), hybrid…

Fluid Dynamics · Physics 2023-01-25 Aniruddhe Pradhan , Karthik Duraisamy