Smoothly attaching bow flows with constant vorticity (Q2711360)

The authors consider the free surface flow of a finite depth fluid past a semi-infinite body. The fluid is assumed to have constant vorticity, and the free surface is assumed to attach smoothly to the front face of the body. The governing integral equation is solved numerically in the physical plane by using a boundary integral method. The authors demonstrate that the solution exists for all supercritical Froude numbers \(F>1/\sqrt{1+\Omega}\), where \(\Omega\) is the flow vorticity. Finally, the authors examine the related problem of the cusp-like flow due to a submerged sink in a corner.