In this paper, we describe a three-dimensional (3D) computational approach for computing the fluid–structure interaction (FSI) encountered in biological and biomedical flows. The approach combines a Cartesian grid based immerse-boundary method for the viscous incompressible flow and a finite-element method for the solid body mechanics. The separate subroutines of the finite-element method can handle general 3D bodies as well as thin-wall structures such as frames, membranes, and plates. Furthermore, both geometric nonlinearity due to large displacements and large rotations and material nonlinearity due to hyperelasticity have been incorporated. The flow and the solid body are meshed separately, and as the body deforms, no mesh regeneration is needed. The FSI solver has been validated against previous numerical and experimental studies. Applications in insect flight and vocal fold vibration have been demonstrated.

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