Interaction of surface waves with vorticity in shallow water

Details Interaction of surface waves with vorticity in shallow water Interaction of surface waves with vorticity in shallow water

1993-06-18

arxiv.org/abs/chao-dyn/9306006v1

Nonlinear Sciences

Chaotic Dynamics

9 pages in LATEX. E-mail: flund@camilo.dfi.uchile.cl

Scientific paper

10.1103/PhysRevLett.70.3896

Vortical flows in shallow water interact with long surface waves by virtue of the nonlinear terms of the fluid equations. Analytical formulae are derived that quantify the spontaneous generation of such waves by unsteady vorticity as well as the scattering of surface waves by vorticity. In a first Born approximation the radiated surface elevation is linearly related to the Fourier transform of the vorticity. The ``dislocated'' wavefronts that are analogous to the Aharonov-Bohm effect are obtained as a special case.

Affiliated with

Also associated with

No associations

Rating

Interaction of surface waves with vorticity in shallow water does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Interaction of surface waves with vorticity in shallow water, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interaction of surface waves with vorticity in shallow water will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74025