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This paper presents a computationally efficient, linearised numerical method for modelling aerodynamic interactions between wind farms. The linearised two-dimensional incompressible equations are solved using Fourier transforms in the…

Fluid Dynamics · Physics 2026-05-07 Alexia Everley , Hossein A. Kafiabad , Majid Bastankhah

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

With the growing number of wind farms over the last decades and the availability of large datasets, research in wind-farm flow modeling - one of the key components in optimizing the design and operation of wind farms - is shifting towards…

Fluid Dynamics · Physics 2023-04-06 Navid Zehtabiyan-Rezaie , Alexandros Iosifidis , Mahdi Abkar

This paper introduces a dynamic parametric wind farm model that is capable of simulating floating wind turbine platform motion coupled with wake transport under time-varying wind conditions. The simulator is named FOWFSim-Dyn as it is a…

Fluid Dynamics · Physics 2020-10-21 Ali C. Kheirabadi , Ryozo Nagamune

A purely analytical wake model for wind turbines is derived, anchored exclusively in physical interactions between atmospheric turbulence and turbine dynamics, and thus inherently accounting for atmospheric stratification. Unlike empirical…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Emeline Noël , Erwan Jézéquel , Pierre-Antoine Joulin

Wind turbines operate in the atmospheric boundary layer (ABL), where Coriolis effects are present. As wind turbines with larger rotor diameters are deployed, the wake structures that they create in the ABL also increase in length.…

Fluid Dynamics · Physics 2024-03-20 Kirby S. Heck , Michael F. Howland

With the rapid growth of wind power penetration, wind farms (WFs) are required to implement frequency regulation that active power control to track a given power reference. Due to the wake interaction of the wind turbines (WTs), there is…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Cheng Zhong , Yicheng Ding , Husai Wang , Jikai Chen , Jian Wang , Yang Li

Motivated by the need for compact descriptions of the evolution of non-classical wakes behind yawed wind turbines, we develop an analytical model to predict the shape of curled wakes. Interest in such modelling arises due to the potential…

The proper orthogonal decomposition has been applied on a full-scale horizontal-axis wind turbine to shed light on the wake characteristics behind the wind turbine. In reality, the blade tip experiences high deflections even at the rated…

Wake steering, the intentional yaw misalignment of certain turbines in an array, has demonstrated potential as a wind farm control approach to increase collective power. Existing algorithms optimize the yaw misalignment angle set-points…

Fluid Dynamics · Physics 2024-06-19 Michael F. Howland

This paper proposes a novel approach for optimal energy and reserve scheduling of wind farms by explicitly modelling wake interactions to enhance market participation and operational efficiency. Conventional methods often neglect wake…

Fluid Dynamics · Physics 2026-04-14 Marin Mabboux-Fort , Majid Bastankhah , Peter C Matthews , Mokhtar Bozorg

A novel fast-running model is developed to predict the three-dimensional (3D) distribution of turbulent kinetic energy (TKE) in axisymmetric wake flows. This is achieved by mathematically solving the partial differential equation of the TKE…

Fluid Dynamics · Physics 2024-11-27 Majid Bastankhah , Jenna K. Zunder , Peter Hydon , Charles Deebank , Marco Placidi

Large Eddy Simulations (LES) are used to study the effects of veer (the height-dependent lateral deflection of wind velocity due to Coriolis acceleration) on the evolution of wind turbine wakes. Specifically, this work focuses on turbines…

Fluid Dynamics · Physics 2024-12-06 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

As wind energy expands worldwide, the demand of reliable, fast, cost-efficient wind turbine wake models is growing. This is a significant challenge as wind turbines face various inflow conditions, that include turbulence,…

Fluid Dynamics · Physics 2022-09-13 I. Neunaber , M. Hölling , M . Obligado

Floating offshore wind turbines (FOWTs) are subjected to platform motion induced by wind and wave loads. The oscillatory movement trigger vortex instabilities, modifying the wake structure, influencing the flow reaching downstream wind…

Downstream wind turbines operating behind upstream turbines face significant performance challenges due to reduced wind speeds and increased turbulence. This leads to decreased wind energy production and higher dynamic loads on downwind…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Timothé Jard , Reda Snaiki

The Reynolds-averaged Navier-Stokes approach coupled with the standard $k-\varepsilon$ model is widely utilized for wind-energy applications. However, it has been shown that the standard $k-\varepsilon$ model overestimates the turbulence…

Fluid Dynamics · Physics 2024-01-03 Navid Zehtabiyan-Rezaie , Mahdi Abkar

Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

Wind turbine wakes play a central role in determining wind farm performance, yet their spatial organization remains only partially understood. Here, we apply a spatially localized multifractal analysis to quantify the strength of…

We present and test the coupled wake boundary layer (CWBL) model that describes the distribution of the power output in a wind-farm. The model couples the traditional, industry-standard wake model approach with a "top-down" model for the…

Fluid Dynamics · Physics 2015-06-19 Richard J. A. M. Stevens , Dennice F. Gayme , Charles Meneveau