Abstract
Here, the Reynolds stresses 〈u′w′〉 and 〈υ′w′〉, where u′, υ′, and w′ are the cross-shore, alongshore, and vertical turbulence velocities, respectively, and the angle brackets represent time averaging, are used to diagnose turbulence dynamics beneath natural breaking surf-zone waves. The data were collected at Truc Vert Beach, France, during a 12-day period in 1–3-m water depth with strong cross-shore and alongshore currents under high-energy wave conditions (offshore significant wave heights ranged between 2 and 8 m). The 〈u′w′〉 term is predominantly negative, increases with the ratio of wave height Hs to water depth h (∼degree of wave breaking), and decreases in magnitude toward the bed. This supports the view that the cross-shore shear stress is due to breaking-induced vortices that transport high-speed cross-shore flow downward and disintegrate close to the bed. The occasional positive sign of 〈u′w′〉 within the lower 15%–20% of the water column indicates that sometimes surface-generated turbulence is overwhelmed by bed-generated turbulence, but the conditions when this happens are not clear from the data. The term 〈υ′w′〉 is persistently of opposite sign to the alongshore mean current and decreases with height above the seabed, implying that 〈υ′w′〉 is due to bottom boundary layer processes rather than surface-generated turbulence. The bottom drag coefficient amounted to 1.6 × 10−3, similar to earlier observations. As in other high-Reynolds-number geophysical flows, time series of u′w′ and υ′w′ comprise intermittently large, short-duration (here, ∼1 s) stress events that in the data contribute considerably to the net stress in only 3%–15% of the time. The data further show that the turbulent kinetic energy is depth uniform and increases with Hs/h. The depth-averaged Froude-scaled turbulent kinetic energy beneath surf-zone bores is 0.025, a factor of 2 to 3 less than observed beneath regular laboratory waves.
Corresponding author address: B. Gerben Ruessink, Department of Physical Geography, Faculty of Geosciences, Institute for Marine and Atmospheric Research, Utrecht University, P.O. Box 80.115, 3508 TC Utrecht, Netherlands. Email: g.ruessink@geo.uu.nl
