# A new class of actuator surface models for wind turbines

## TL;DR

This paper introduces a novel actuator surface model for wind turbines that captures detailed blade and nacelle geometries, improving wake prediction accuracy on coarse meshes compared to traditional models.

## Contribution

The paper develops a new actuator surface model for turbine blades and nacelle, incorporating detailed geometrical features and nacelle effects, enhancing simulation fidelity.

## Key findings

- The model accurately predicts turbine wake characteristics at far wake locations.
- It performs well on coarse meshes, reducing computational costs.
- The approach is applicable to other bluff bodies in flow simulations.

## Abstract

Actuator line model has been widely employed in wind turbine simulations. However, the standard actuator line model does not include a model for the turbine nacelle which can significantly impact turbine wake characteristics as shown in the literature. Another disadvantage of the standard actuator line model is that more geometrical features of turbine blades cannot be resolved on a finer mesh. To alleviate these disadvantages of the standard model, we develop a new class of actuator surface models for turbine blades and nacelle to take into account more geometrical details of turbine blades and include the effect of turbine nacelle. In the actuator surface model for blade, the aerodynamic forces calculated using the blade element method are distributed from the surface formed by the foil chords at different radial locations. In the actuator surface model for nacelle, the forces are distributed from the actual nacelle surface with the normal force component computed in the same way as in the direct forcing immersed boundary method and the tangential force component computed using a friction coefficient and a reference velocity of the incoming flow. The actuator surface model for nacelle is evaluated by simulating the flow over periodically placed nacelles. Both the actuator surface simulation and the wall-resolved large-eddy simulation are carried out. The comparison shows that the actuator surface model is able to give acceptable results especially at far wake locations on a very coarse mesh. It is noted that although this model is employed for the turbine nacelle in this work, it is also applicable to other bluff bodies. The capability of the actuator surface model in predicting turbine wakes is assessed by simulating the flow over the MEXICO (Model experiments in Controlled Conditions) turbine and a hydrokinetic turbine.