Coupled Immersed Boundary and Level-Set Method to Study the Water Exit of Flying Fish
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Computational modeling of two immiscible fluids contacting an arbitrary-shaped solid object is in general a challenging task since it needs to handle the interface between the two fluids as well as the interface between the fluid and solid surfaces. In the present work, the immersed-boundary method(IB) based on a fixed Cartesian grid has been developed and utilized extensively in various applications for complex and moving boundaries of solid bodies. [1] Then we combine the level-set method for the fluid-fluid interface and the IB method for the solid boundary, and we adopt the continuous surface force model(CSF) [2]to incorporate the traction jump due to the surface tension. The numerical method has been verified and used to study the bio-inspired fluid dynamics of flying fish. The fluid dynamics of flying fish underwater, at the surface and gliding will be studied. Important parameters such as tail flapping frequency, amplitude and attack angle of pelvic fins will be investigated. Such results can be used for future development of unmanned cross-water vehicles.
