Computational efficiency has remained one of the major barriers constraining the development of computational approaches for simulating many industrial problems involving fluid-structure interaction. The most efficient algorithms are the partitioned staggered solution approaches. These methods require one execution of the solid and fluid sub-solvers per time step. However, such strategies usually lack robustness and efficiency. This work proposes robust second-order accurate staggered solution schemes for fluid-structure interaction. These approaches are based on linear combinations of higher-order predictors and are based on Dirichlet-Neumann coupling. The schemes are unconditionally stable to a high amount of added mass and are suitable for code coupling. The schemes are developed and tested in the setting of one-dimensional model problems, including two dimensional flow around a flexibly supported cylinder.
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Alhayki et al. (2024) studied this question.
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