A Ray Theory for Nonlinear Ship Waves with Amplitude Interaction.
DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD
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The effect on ship waves of the nonlinear free surface boundary condition and nonuniform flow are considered. The wave number is represented by a function of space and the wave slope, ak. The value of ak turned out to be a larger than the critical value 0.447 in the wide area near the bow, except when the wave crest is nearly perpendicular to the ship hull fortunately, the latter is the most significant case. Yims previous work on ray theory is used to include the full nonlinear effect the ray and the wave phase of a Wigley hull are computed by the present method and are compared with previous results. When compared to the nonuniform flow effect, the nonlinear free surface effect increases further both the Kelvin wedge angle near the bow and the difference of wave phase from the predictions of linear theory. Author
- Numerical Mathematics
- Marine Engineering
- Fluid Mechanics