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Collective wind farm flow control, where wind turbines are operated in an individually suboptimal strategy to benefit the aggregate farm, has demonstrated potential to reduce wake interactions and increase farm energy production. However,…

Fluid Dynamics · Physics 2023-03-29 Kirby S. Heck , Hannah M. Johlas , Michael F. Howland

An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof,…

Fluid Dynamics · Physics 2017-02-02 Aidan Keane , Pablo E. Olmos Aguirre , Hannah Ferchland , Peter Clive , Daniel Gallacher

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

The wake of an isolated model-scale wind turbine is analysed in a set of inflow conditions having freestream turbulence intensity between 3 % and 12 %, and integral time scales in the range of 0.1 to 10 times the convective timescale based…

Fluid Dynamics · Physics 2023-05-31 Stefano Gambuzza , Bharathram Ganapathisubramani

Active wake control (AWC) has emerged as a promising strategy for enhancing wind turbine wake recovery, but accurately modelling its underlying fluid mechanisms remains challenging. This study presents a computationally efficient wake model…

Fluid Dynamics · Physics 2025-06-25 Zhaobin Li , Xiaolei Yang

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…

In low-mass disks, turbulent torques are probably the most important way of redistributing angular momentum. Here we present the theory of turbulent accretion disks. We show the molecular viscosity is far too small to account for the…

Astrophysics · Physics 2015-06-24 Caroline E. J. M. L. J. Terquem

The actuator disk model (ADM) continues to be a popular wind turbine representation in large eddy simulations (LES) of large wind farms. Computational restrictions typically limit the number of grid points across the rotor of each actuator…

Fluid Dynamics · Physics 2020-05-27 Carl R. Shapiro , Dennice F. Gayme , Charles Meneveau

We report a comprehensive study of the wake of a porous disc, the design of which has been modified to incorporate a swirling motion at an inexpensive cost. The swirl intensity is passively controlled by varying the internal disc geometry,…

Fluid Dynamics · Physics 2024-06-14 Ernesto Fuentes Noriega , Nicolas Mazellier

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…

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

Streamwise acceleration of the background flow field is one of various effects occurring when wind turbines operate under non-idealized conditions, such as in complex terrain or in dense wind farms. Thus, studying this effect is essential…

Fluid Dynamics · Physics 2024-10-28 Clemens Paul Zengler , Niels Troldborg , Mac Gaunaa

Complex turbulent motions are ubiquitously observed in many astrophysical systems. Their origin, however, is still poorly understood. When cosmic structures form, they grow in mass via accretion from the surrounding environment. We propose…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Ralf S. Klessen , Patrick Hennebelle

Reducing wake losses in wind farms by deflecting the wakes through turbine yawing has been shown to be a feasible wind farm controls approach. Nonetheless, the effectiveness of yawing depends not only on the degree of wake deflection but…

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

Accretion disc turbulence is investigated in the framework of the shearing box approximation. The turbulence is either driven by the magneto-rotational instability or, in the non-magnetic case, by an explicit and artificial forcing term in…

Astrophysics · Physics 2008-11-26 Axel Brandenburg

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 conventional accretion disk lore is that magnetized turbulence is the principal angular momentum transport process that drives accretion. However, when dynamically important large-scale magnetic fields thread an accretion disk, they can…

High Energy Astrophysical Phenomena · Physics 2024-04-24 Vikram Manikantan , Nicholas Kaaz , Jonatan Jacquemin-Ide , Gibwa Musoke , Koushik Chatterjee , Matthew Liska , Alexander Tchekhovskoy

Dynamic induction control is a wind farm flow control strategy that utilises wind turbine thrust variations to accelerate breakdown of the aerodynamic wake and improve downstream turbine performance. However, when floating wind turbines are…

Optimization and Control · Mathematics 2023-03-28 Maarten J. van den Broek , Daniel van den Berg , Benjamin Sanderse , Jan-Willem van Wingerden

This work is dedicated to studying the influence of yaw angle on the wake characteristics of a 2.5 MW utility-scale wind turbine using large-eddy simulations with the turbine's blades and nacelle parameterized as actuator surfaces. Four…

Fluid Dynamics · Physics 2021-07-30 Zhaobin Li , Xiaolei Yang
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