摘要: Abstract The nonlinear evolution of two-dimensional instability waves in a fully submerged wake is studied numerically through direct numerical simulation the incompressible Euler equations subject to dynamic and kinematic boundary conditions on ocean surface. For parallel, flow, sinuous mode linear more unstable than varicose mode. Therefore, results staggered-vortex pattern bulk fluid, while free-surface signature depends submergence depth mean velocity profile Froude number flow. Specifically, for large low number, flow reaches quasi-equilibrium state, where free surface takes form propagating gravity wave with very small height. However, same depth, increasing beyond certain value causes breaking wave. high caused by presence sharp vertical shear along deep shallow wakes alike. other hand, breaks even because horizontal that induced vortices