A partitioned approach for two-dimensional fluid–structure interaction problems by a coupled lattice Boltzmann-finite element method with immersed boundary

Abstract This paper focuses on a computational approach for nearly incompressible viscous fluids interacting with slender elastic structures. The lattice Boltzmann method is used to predict fluid dynamics and the corotational finite element formulation together with the time Discontinuous Galerkin method to predict structure dynamics. The coupling strategy is explicit and the fluid–structure interface conditions are handled by the Immersed Boundary method. A wide numerical testing proves the effectiveness of the proposed approach and its advantages with respect to similar strategies implementing the bounce-back scheme to enforce interface conditions.

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