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So-called engineering or analytical wind farm flow solvers typically build upon two submodels: one for the velocity deficit and one for the wake-added turbulence intensity. While velocity deficit modelling has received considerable…

Fluid Dynamics · Physics 2026-05-01 Frédéric Blondel , Erwan Jézéquel , Helen Schottenhamml , Majid Bastankhah

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

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

The unsteady flow physics of wind-turbine wakes under dynamic forcing conditions are critical to the modeling and control of wind farms for optimal power density. Unsteady forcing in the streamwise direction may be generated by unsteady…

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

The wake of a model wind turbine exposed to incoming freestream turbulence (FST) with a variety of turbulent characteristics is studied through Particle Image Velocimetry experiments. The FST cases were produced using different passive…

Fluid Dynamics · Physics 2026-02-03 Neelakash Biswas , Oliver R. H. Buxton

In this study, we present an improved formulation for the wake-added turbulence to enhance the accuracy of intra-farm and farm-to-farm wake modeling through analytical frameworks. Our goal is to address the tendency of a commonly used…

Fluid Dynamics · Physics 2024-12-11 Navid Zehtabiyan-Rezaie , Josephine Perto Justsen , Mahdi Abkar

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…

Numerical turbulence with hyperviscosity is studied and compared with direct simulations using ordinary viscosity and data from wind tunnel experiments. It is shown that the inertial range scaling is similar in all three cases. Furthermore,…

Astrophysics · Physics 2007-05-23 Nils Erland L. Haugen , Axel Brandenburg

The current study uses large eddy simulations to investigate the transient response of a utility-scale wind turbine wake to dynamic changes in atmospheric and operational conditions, as observed in previous field-scale measurements. Most…

Fluid Dynamics · Physics 2021-09-29 Aliza Abraham , Luis A. Martinez-Tossas , Jiarong Hong

Wake interaction is a key factor limiting the performance of floating offshore wind turbine arrays, yet the combined influence of inflow turbulence structure and platform motion on wake dynamics remains poorly understood. This study…

Fluid Dynamics · Physics 2026-03-03 Ahmad Nabhani , Josep M. Bergada

Computational fluid dynamics using the Reynolds-averaged Navier-Stokes (RANS) remains the most cost-effective approach to study wake flows and power losses in wind farms. The underlying assumptions associated with turbulence closures are…

Fluid Dynamics · Physics 2022-08-03 Ali Eidi , Navid Zehtabiyan-Rezaie , Reza Ghiassi , Xiang Yang , Mahdi Abkar

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

Cross-flow, or vertical-axis, turbines are a promising technology for capturing kinetic energy in wind or flowing water and their inherently unsteady fluid mechanics present unique opportunities for control optimization of individual rotors…

Fluid Dynamics · Physics 2022-02-09 Benjamin Strom , Brian Polagye , Steven L. Brunton

Wind turbines operating within wind farms experience complex aerodynamic loading arising from the interplay between wake-induced velocity deficits, enhanced turbulence, and varying operational conditions. Understanding the relationship…

Wind turbines operating in the atmospheric boundary layer are constantly exposed to time-varying flow conditions. These disturbances often occur on similar time scales to wind-turbine controllers, which may interfere with wind-farm control…

Fluid Dynamics · Physics 2026-03-23 Nathaniel J. Wei , Adina Y. Fleisher , John W. Kurelek , Marcus N. Hultmark

This work focuses on the validation of the dynamic wake meandering (DWM) model against large eddy simulation (LES). The wake deficit, mean deflection, and meandering under different wind turbine misalignment angles in yaw and tilt, for the…

Fluid Dynamics · Physics 2023-08-03 Irene Rivera-Arreba , Zhaobin Li , Xiaolei Yang , Erin E. Bachynski-Polić

This paper solves an approximate form of conservation of mass and momentum for a turbine in a wind farm array. The solution is a fairly simple explicit relationship that predicts the streamwise velocity distribution within a wind farm with…

Understanding how wakes interact with wind turbine blades under varying operating and inflow conditions is essential for improving fatigue prediction and performance assessment in increasingly dense wind farms. We present an experimental…

Fluid Dynamics · Physics 2026-05-12 Francisco J. G. de Oliveira , Zahra Sharif Khoadei , Oliver R. H. Buxton

Accurate prediction of wake dynamics behind hydrofoils is critical for mitigating vortex-induced vibrations and improving the performance of hydraulic machinery. Conventional turbulence modeling approaches often struggle to capture the…

Fluid Dynamics · Physics 2026-01-30 Gabriele Gaiti , Chirag Trivedi , Kristian F. Sagmo
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