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Unsteady Ekman‐Stokes Dynamics: Implications for Surface Wave‐Induced Drift of Floating Marine Litter
Summary
This study examined how Coriolis-Stokes forcing and surface wave stress combine to produce a wave-driven Eulerian-mean flow that must be added to Stokes drift for accurate modeling of floating marine litter transport. The findings reveal significant differences in the direction and magnitude of wave-induced particle transport when this additional flow component is included.
Abstract We examine Stokes drift and wave‐induced transport of floating marine litter on the surface of a rotating ocean with a turbulent mixed layer. Due to Coriolis‐Stokes forcing and surface wave stress, a second‐order Eulerian‐mean flow forms, which must be added to the Stokes drift to obtain the correct wave‐induced Lagrangian velocity. We show that this wave‐driven Eulerian‐mean flow can be expressed as a convolution between the unsteady Stokes drift and an “Ekman‐Stokes kernel.” Using this convolution, we calculate the unsteady wave‐driven contribution to particle transport. We report significant differences in both direction and magnitude of transport when the Eulerian‐mean Ekman‐Stokes velocity is included.