Johnson, ER;
McDonald, NR;
(2004)
Surf-zone vortices over stepped topography.
J FLUID MECH
, 511
265 - 283.
10.1017/S0022112004009838.
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Abstract
The problem of vortical motions in the surf zone is simplified by taking the bottom topography to be piecewise flat while allowing finite-height jumps in depth between flat regions. The motion of an arbitrary number of singular vortices is cast into Hamiltonian form and the rule for relating Hamiltonians in conformally equivalent domains derived. Examples are given of a singular vortex pair colliding head-on with a step, of a vortex propagating along a curved coast to cross a step, and of a vortex being swept past a circular island straddling a step. Surf-zone vortices are then modelled as finite-area vortex patches and their motion followed by contour dynamics. It is shown that the paths of singular vortices can yield highly accurate explicit predictions of the paths of the centroids of vortex patches. Possible applications to surf-zone rip currents are noted.
| Type: | Article |
|---|---|
| Title: | Surf-zone vortices over stepped topography |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/S0022112004009838 |
| Additional information: | © 2004 Cambridge University Press |
| Keywords: | LOW-FREQUENCY SCATTERING, SHEAR INSTABILITIES, BARRED BEACHES, KELVIN-WAVES, RIP CURRENTS, VORTEX, DYNAMICS, MOTION, MODEL, EVOLUTION |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/13787 |
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