Subharmonic resonance of a trapped wave near a vertical cylinder in a channel

YILE LI, CHIANG C. MEI
2006 Journal of Fluid Mechanics  
It is known that perfectly trapped surface waves exist at certain eigen frequencies near a vertical cylinder in a long channel, or an infinite and periodic array of vertical cylinders, and excitation by incident waves of the same frequency is not possible according to the linear theory. We present a nonlinear theory whereby a trapped wave near a cylinder in a channel is excited subharmonically by an incident wave of twice the eigen frequency. The linearized theory of water-wave trapping either
more » ... ve trapping either by a stationary body in a channel or by an infinite and periodic array of fixed bodies has been extensively treated by Evans and his associates in the past decade (
doi:10.1017/s0022112006000760 fatcat:iwnumqajljdl3fdkih5lklmf3y