其他摘要:Direct numerical simulations (DNS) of air entrainment by breaking bow waves of naval surface ships are outside of the computational reach of the most powerful computers in the foreseeable future. This creates a need for models of air entrainment for applications in numerical simulations for ship design. We present a model that is based on the local liquid velocity and the distance to the interface, which determines whether air entrainment should occur. Using this model and the bubble size distributions measured by Deane and Stokes1 we simulate the air entrainment in the breaking bow wave experiments of Wanieski et al.2 Comparison against these experimental data is good. We then apply this model to simulate the flow around naval combatant DTMB5415. The model predicts air entrainment in all the regions where it is actually observed at sea, namely the breaking bow wave, along the water/air/hull contact line and around the transom stern. To the best of our knowledge this is the first model of air entrainment that compares favorably with data at laboratory scale and presents the right trends at full-scale conditions.