Peder A. Tyvand und Mikkel. L. Lepperod, Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, N

Fr., 8.11.2013, 14:00 Uhr
Oscillatory line source for water waves in shear flow

The linearized water-wave radiation problem for the oscillating 2D submerged source in an inviscid shear flow with a free surface is investigated analytically. The vorticity is uniform, with zero velocity at the free surface. Then there will be at most two emitted waves, and no Doppler effects. Exact far-field waves are derived, with radiation conditions applied at infinity. There is always an upstream wave. The downstream wave exists when the angular frequency of oscillation exceeds the vorticity.