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An immersed boundary method (IBM) is coupled to a lattice Boltzmann solver based on the Hybrid Recursive Regularized (HRR) collision model, and a finite-element solver. The numerical framework demonstrates its capability to handle deformable and/or moving objects immersed in an unsteady fluid flow, and to accurately capture the stresses on the structure, as well as its displacement and velocity. A realistic model of aortic valve dynamically deformed under physiological conditions will be presented.