Abstract
Through the application of linearized water-wave theory, a hydrodynamic model is developed for predicting the surface waves generated by an air-cushion vehicle undergoing arbitrary maneuvers. The velocity potential is shown to be a convolution integral in time involving the trajectory history of the craft. Numerical methods are developed to compute and tabulate the associated kernel function, which contains all the dynamic properties of the fluid. The theoretical model is first applied to compute the wave profiles and resistance of an accelerating vehicle. Resistance calculations agree well with existing results. Next, transverse wave-profiles for a craft in steady turns are given. Finally, hydrodynamic derivatives for an oscillatorily swaying craft at constant forward speed are presented and compared with experimental data.
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