RT Journal Article
SR Electronic
T1 Sea waves and mass transport on a sloping beach
JF Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
FD The Royal Society
SP 2053
OP 2082
DO 10.1098/rspa.2001.0958
VO 458
IS 2025
A1 Blondeaux, Paolo
A1 Brocchini, Maurizio
A1 Vittori, Giovanna
YR 2002
UL http://rspa.royalsocietypublishing.org/content/458/2025/2053.abstract
AB The steady streaming induced by a sea wave shoaling on a sloping beach and partly reflected at the coastline is determined in the region seaward of the breaker line. Shallow waters and waves of small amplitude are considered. Moreover, the Reynolds number is assumed to be large but still within the laminar regime and the flow domain is split into a bottom boundary layer and a core region. For an incoming wave which is fully absorbed at the coast the solution shows that close to the bottom the steady streaming is onshore directed even though the depth–averaged value represents an offshore directed flow. Moreover, the vertical velocity distribution depends on the ratio between the wave amplitude a* and the thickness δ* of the bottom boundary layer. For a fully reflected wave, steady recirculation cells are induced, the form and strength of which depend on the ratio a*/δ*. A complex flow is generated for reflection coefficients falling between 0 and 1.