2023/08/12 by Marin Lauber, Gabriel D. Weymouth, Lauber, Marin +3 · 1 citation
Engineering · #Advanced Materials and Mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.2308.06494
openalex publication_date 2023/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element model. The immersed boundary method can accurately simulate the fluid velocity and pressure induced by dynamic bodies undergoing large displacements using a computationally efficient pressure projection finite volume solver. The structural solver can be applied to bending and membrane-related problems, making our partitioned solver very general. We use a strongly-coupled algorithm that avoids the expensive computation of the inverse Jacobian within the root-finding iterations by constructing it from input-output pairs of the coupling variables from the previous time steps. Using two examples with large deformations and added mass contributions, we demonstrate that the resulting quasi-Newton scheme is stable, accurate, and computationally efficient.