The hydrodynamic pressure field for the unsteady subcritical potential flow of a slender ship moving over a wavy wall in shallow water is analyzed using perturbation techniques. For the case of wall wavelength much smaller than the ship length but larger than the transverse ship dimensions, a combination of the methods of matched asymptotic expansions and multiple scales is used to obtain the lowest-order effect of the bottom variation.
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Hydrodynamic Pressure Field on a Slender Ship Moving Over a High-Frequency Wavy Shallow Bottom
Department of Aerospace Engineering, University of Maryland, College Park, Md.
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Plotkin, A. (June 1, 1976). "Hydrodynamic Pressure Field on a Slender Ship Moving Over a High-Frequency Wavy Shallow Bottom." ASME. J. Appl. Mech. June 1976; 43(2): 232–236. https://doi.org/10.1115/1.3423815
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