Volume 22, Issue 4, November 2015, Pages 507 - 515
Particle paths in Stokes’ edge wave
Authors
Raphael Stuhlmeier
Faculty of Civil & Environmental Engineering, Technion – Israel Institute of Technology, Haifa, 32000, Israel.raphaels@technion.ac.il">raphaels@technion.ac.il
Received 24 August 2015, Accepted 5 October 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1113048How to use a DOI?
- Keywords
- Edge waves; particle trajectories; deep-water waves
- Abstract
We treat the particle motion in Stokes’ linear edge wave along a uniformly sloping beach. By a rotation of the coordinate frame, we show that there is no particle motion in the direction orthogonal to the sloping beach, and conclude that particles have a longshore drift in the direction of wave propagation which decreases with depth and distance from the shoreline. We discuss the application of this rotated coordinate frame to higher mode (Ursell) and weakly nonlinear (Whitham) edge waves, and show that the weakly nonlinear case is identical to that for two-dimensional deep-water Stokes waves.
- Copyright
- © 2015 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Raphael Stuhlmeier PY - 2021 DA - 2021/01/06 TI - Particle paths in Stokes’ edge wave JO - Journal of Nonlinear Mathematical Physics SP - 507 EP - 515 VL - 22 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1113048 DO - 10.1080/14029251.2015.1113048 ID - Stuhlmeier2021 ER -