Interaction of surface waves with vorticity in shallow water
- 21 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (25) , 3896-3899
- https://doi.org/10.1103/physrevlett.70.3896
Abstract
Vortical flows in shallow water interact with long surface waves by virtue of the nonlinear terms of the fluid equations. Analytical formulas are derived that quantify the spontaneous generation of such waves by unsteady vorticity as well as the scattering of surface waves by vorticity. In the first Born approximation the radiated surface elevation is linearly related to the Fourier transform of the vorticity. The ‘‘dislocated’’ wave fronts that are analogous to the Aharonov-Bohm effect are obtained as a special case.Keywords
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This publication has 16 references indexed in Scilit:
- Head-on collision of a large vortex ring with a free surfacePhysics of Fluids A: Fluid Dynamics, 1992
- Features of nonlinear interactions between a free surface and a shed vortex shear layerPhysics of Fluids A: Fluid Dynamics, 1991
- Approach of a vortex pair to a rigid free surface in viscous fluidPhysics of Fluids A: Fluid Dynamics, 1991
- Motion of a vortex near a free surface[dagger]Journal of Fluid Mechanics, 1991
- Ultrasound as a probe of turbulence. II. Temperature inhomogeneitiesPhysics Letters A, 1990
- Two-dimensional periodic waves in shallow waterJournal of Fluid Mechanics, 1989
- Response of a filamentary vortex to soundPhysics of Fluids A: Fluid Dynamics, 1989
- Generalized vortex methods for free surface flow problems. II: Radiating wavesJournal of Scientific Computing, 1989
- A new approach to the effect of sound on vortex dynamicsPhysics of Fluids, 1987
- Solitons and the Inverse Scattering TransformPublished by Society for Industrial & Applied Mathematics (SIAM) ,1981