Nonlinear and unsteady waves generated by a traveling pressure distribution and the associated waveless shapes

作者：Wang Lu; Yeung Ronald W^*

来源：Journal of Engineering Mathematics, 2015, 91(1): 1-16.

DOI：10.1007/s10665-014-9738-x

• Nonlinear waves
• Planing-hull shapes
• Pressure distribution
• Time-dependent gravity waves
• Wave resistance

The wave elevation and flow near a moving pressure distribution of characteristic intensity and length are investigated using a fully nonlinear and unsteady mixed Eulerian-Lagrangian method. Special attention is paid to the zero-wave-resistance (ZWR) conditions and the associated waveless free-surface profiles. Large-time solutions for free-surface elevation are in good agreement with linear steady-state solutions for small applied pressure parameter , with being the weight density of the fluid. The ZWR phenomenon predicted by the linear wave theory at certain critical speeds is recovered from these nonlinear solutions. As increases, large-time nonlinear solutions indicate that trailing waves of near-zero amplitude can still be achieved at certain adjusted critical speeds. The time evolution of the trailing waves is presented and discussed.

• 出版日期2015-4