  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.

Fluid Dynamics