Filtered Lifted Line Theory

The actuator line model is a powerful tool to simulate wind turbine blades in computational fluid dynamics without the need to resolve the blade geometry. The filtered lifting line theory formalizes the equations behind the actuator line model and provides an analytical framework to improve the accuracy of aerodynamic forces predicted by the actuator line model.

The filtered lifting line theory is formulated over a collection of scientific articles:

1. Martínez-Tossas, L. A., & Meneveau, C. (2019). Filtered lifting line theory and application to the actuator line model. Journal of Fluid Mechanics, 863, 269–292.

2. Martínez-Tossas, L. A., Sakievich, P., Churchfield, M. J., & Meneveau, C. (2024). Generalized filtered lifting line theory for arbitrary chord lengths and application to wind turbine blades. Wind Energy, 27, 101–106.

3. Martínez-Tossas, L. A., Allaerts, D., Branlard, E., & Churchfield, M. (2025). A Solution Method for the Filtered Lifting Line Theory. Journal of Fluids Engineering, 147(1), 011502.

The code to solve the standalone filtered lifting line theory equations for a fixed wing is available in this repository.