RT Journal Article T1 A strongly-coupled model for flexible rotors A1 Durán Venegas, Eduardo A1 Le Dizès, Stéphane A1 Eloy, Christophe K1 Movimiento de vórtices AB A fluid–structure model describing the equilibrium state of a flexible blade rotor with its own wake is derived for various external axial flow conditions. The model is based on three building blocks. The two-dimensional lifting-line theory is first used to compute the local aerodynamic loads and the blade circulation profile. The blade deformation is then obtained by solving the nonlinear equations for bending and twisting angles deduced from a one-dimensional beam model. Finally, the wake is obtained using a Joukowski model. In this wake model, the wake of each blade is modeled by two small- core-size counter-rotating vortices emitted from the rotor axis and blade tip. The velocity field induced by these vortices is computed using the Biot–Savart law. We show that, in the rotor frame, we can obtain a stationary vortex structure for almost any vertical flight regimes. This wake solution can then be used to compute the induced velocity in the rotor plane and apply the two-dimensional lifting-line theory again. By iterating a few times this loop, we converge toward a nonlinear solution of the problem for which the aerodynamics loads, blade deformation and wake structure are compatible. As illustration, this newly-developed model is applied to two rotors. We analyze the effects of the external wind conditions, geometry and material properties of the blades on the blade deformation and wake characteristics. We show that we can describe slow descending regimes for which the classical momentum theory does not apply. PB Elsevier YR 2019 FD 2019 LK https://hdl.handle.net/10630/37609 UL https://hdl.handle.net/10630/37609 LA eng NO Journal of Fluids and Structures, 89, pp.219–231. 2019 NO Agence Nationale de la Recherche (Francia, fondos públicos): ANR-11-IDEX-0001-02, ANR- 11-LABX-0092, ANR-17-CE06-0018-01 DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 4 mar 2026