Nonlinear wave resistance of a two-dimensional pressure patch moving on a free surface |
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Authors: | Kevin J Maki Riccardo Broglia Lawrence J Doctors Andrea Di Mascio |
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Institution: | 1. Department of Naval Architecture and Marine Engineering, University of Michigan, 2600 Draper Rd., Ann Arbor, MI 48109, United States;2. Department of Computational Hydrodynamics at CNR-INSEAN, The Italian Ship Model Basin, via di Vallerano 128, 00139 Rome, Italy;3. The University of New South Wales, Sydney, NSW 2052, Australia;4. Andrea Di Mascio, Istituto per le Applicazioni del Calcolo - IAC-CNR, 00161 Rome, Italy |
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Abstract: | A model problem of the flow under an air-cushion vessel is studied. Two different numerical techniques are used to determine the solution of the free-surface elevation and the wave resistance for a range of Froude number, Reynolds number, value of the pressure applied in the cushion, and depth of the water. The first numerical technique uses a velocity potential that satisfies linearized free-surface boundary conditions, whereas the second employs a finite-volume method to find a solution that satisfies the fully nonlinear free-surface boundary conditions. The results clearly show that for high Froude number and practical values of the cushion pressure, the linear-theory solution is in excellent agreement with the more exact nonlinear prediction. For lower Froude number the solution becomes unsteady, and the disagreement between the two methods is larger. |
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