Body and caudal fin propulsion is the primary mode of swimming for most fish species. Although the associated hydrodynamics have garnered increasing attention in recent years, previous studies have considered the fish body to be fixed or part of the travelling wave motion, neglecting the effect of passive recoil motion. In this paper, an efficient fluid-structure interaction analysis method is employed to investigate a three-dimensional flying fish model featuring a rigid head, prescribed-motion tail, and flexible caudal fin. A strongly coupled analysis framework, integrating flexible multi-body dynamics and the vortex particle method, is utilized. By permitting free yaw rotation of the fish body, this study investigates the impact of multiple kinematic parameters and caudal fin flexibility on the yaw stability and propulsion performance when incorporating recoil motion into the simulations. The results indicate that although increasing either the frequency or amplitude of the oscillation enhances the thrust force, a rise in frequency notably improves stability, whereas an increase in amplitude reduces it. Moreover, the moderately flexible caudal fin effectively mitigates recoil motion and enhances propulsion performance, but reduces yaw stability during extended cruising.
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