Non-iterative vortex-based smearing correction for the actuator line method

The actuator line method (ALM) is extensively used in wind turbine and rotor simulations. However, its original uncorrected formulation overestimates the forces near tip of blades does not reproduce well on translating wings. recently proposed vortex-based smearing correction for ALM a based physical mathematical properties simulation that allows more accurate general ALM. So far, to correct blades, depended an iterative process at every time step, which usually slower, less stable deterministic than direct methods. In this work, non-iterative validated. First, we propose non-linear lifting equivalent with correction, showing their results are practically identical wing. Then, by linearizing method, substituted solution small linear system. No significant difference observed corrections, both wing Additional contributions present work include use approximation velocity induced smeared vortex segment implementation free-vortex wake model define sheet, contribute accuracy generality method. here may motivate adoption other communities, example, fixed-wing applications.