Abstract
The Lagrangian trajectories of neutrally buoyant particles underneath surface gravity wave groups are dictated by two physical phenomena: the Stokes drift results in a net displacement of particles in the direction of propagation of the group, whereas the Eulerian return flow, as described by the multichromatic wave theory of LonguetHiggins & Stewart (1962 J. Fluid Mech. 13, 481–504. (doi:10.1017/S0022112062000877)), transports such particles in the opposite direction. By pursuing a separation of scales expansion, we develop simple closedform expressions for the net Lagrangian displacement of particles. By comparing the results from the separation of scales expansion at different orders in bandwidth, we study the effect of frequency dispersion on the local Lagrangian transport, which we show can be ignored for realistic sea states.
Original language  English 

Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  472 
Issue number  2192 
DOIs  
Publication status  Published  24 Aug 2016 
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Profiles

Ton Van Den Bremer
 School of Engineering  UoE Honorary staff
Person: Affiliated Independent Researcher