Abstract
The method of lines is applied to the two-dimensional nonlinear water wave generation resulting from the abrupt acceleration from rest to constant speed of a pressure distribution on the surface of initially calm water. The surface pressure distribution can be viewed as modeling the air cushion pressure of a surface effect ship. Steady state at the craft is achieved for all cases computed, most of which are highly nonlinear and which exhibit sharp downstream wave crests that approach the limiting sharpness of the Stokes wave for steady irrotational gravity waves. Computations show pronounced sharpening of wave crests, broadening of wave troughs, and shortening of wavelengths compared to linear theory. Wave resistance, rates of work, and energy are computed. Computer time is saved by applying the method of lines in a local neighborhood of the free surface in combination with a standard Laplace solver below. Results are presented.
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