DescriptionThe current literature suggests that moon jellyfish are the most efficient underwater swimmers for their size. The objective of this thesis is to understand the gait- and material-specific fluid-structure interactions associated with the propulsion of moon jellyfish by simulating the motion, the mechanics, and fluid dynamics of moon jellyfish. The thesis uses a linear elastic material to describe the behavior of the silicone bell of the jellyfish made of Mold Star 30 and Ecoflex 30. Deflection-based experiments determined Young's modulus associated with these materials to be 1 MPa and 72 kPa, respectively for the range of strains typical of the flapping bell. To account for damping beyond that of the viscosity of the surrounding fluid, models incorporated Rayleigh damping or Maxwell and Kelvin-Voigt linear viscoelasticity. Parameters for these models came from the observed vibratory responses of elastomeric beams. Experiments and simulations with a flapping fin in water showed similar vortex shedding patterns. The axisymmetric, laminar jellyfish-like numerical model developed emulates contraction of muscles in a moon jellyfish. The numerical model demonstrates the starting and stopping vortices mentioned in the literature. Understanding the fluid-structure interactions associated with the jellyfish motion, effects of changing the dynamics of the motion have the potential to influence the design of high-efficiency underwater vehicles.