Simulation of ship breaking bow waves and induced vortices and scars

Abstract

AbstractAn unsteady single‐phase level set RANS method is used to resolve and investigate bow wave breaking around a surface combatant advancing in calm water, including induced vortices and free surface scars. A level set free surface capturing approach was extended and combined with local overset grid refinement for resolution of complex interfacial topologies and small‐scale free surface features. Although the focus of the paper is on wave breaking at Fr=0.35, results over three speeds (Fr=0.28, 0.35, and 0.41) show that the method can accurately predict the changes in resistance and free surface topology, with the two highest speeds showing bow wave breaking. For the Fr=0.35 case, comparison of wave elevation results shows good agreement with the data, including the development and thickening of the bow wave sheet, sequential formation of two overturning plungers with reconnections, and the formation of two free surface scars at the reconnection sites. The computational fluid dynamics (CFD) solution shows a steep shoulder wave, similar to the experiment, but does not predict the experimentally observed weak spilling breaking shoulder wave. Although the current predictions converge to steady state, the region of unsteady free surface measured experimentally can be reasonably well predicted from the region of the simulation where the wave slope exceeds 17°. Comparisons of velocity components and axial vorticity at four cross planes show that the method can accurately predict the wake of low axial velocity and vortical cross flow associated with the breaking bow wave. In addition, the simulation is used to explain the initial development of the overturning bow wave, induced vortices and scars and to fill in the relatively sparse experimental data set by providing a global picture of the axial vortex structure near the free surface. Copyright © 2006 John Wiley & Sons, Ltd.