On tide-induced Lagrangian residual current and residual transport: 1. Lagrangian residual current

Water Resources Research
By: , and 

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Abstract

Residual currents in tidal estuaries and coastal embayments have been recognized as fundamental factors which affect the long-term transport processes. It has been pointed out by previous studies that it is more relevant to use a Lagrangian mean velocity than an Eulerian mean velocity to determine the movements of water masses. Under weakly nonlinear approximation, the parameter k, which is the ratio of the net displacement of a labeled water mass in one tidal cycle to the tidal excursion, is assumed to be small. Solutions for tides, tidal current, and residual current have been considered for two-dimensional, barotropic estuaries and coastal seas. Particular attention has been paid to the distinction between the Lagrangian and Eulerian residual currents. When k is small, the first-order Lagrangian residual is shown to be the sum of the Eulerian residual current and the Stokes drift. The Lagrangian residual drift velocity or the second-order Lagrangian residual current has been shown to be dependent on the phase of tidal current. The Lagrangian drift velocity is induced by nonlinear interactions between tides, tidal currents, and the first-order residual currents, and it takes the form of an ellipse on a hodograph plane. Several examples are given to further demonstrate the unique properties of the Lagrangian residual current.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title On tide-induced Lagrangian residual current and residual transport: 1. Lagrangian residual current
Series title Water Resources Research
DOI 10.1029/WR022i012p01623
Volume 22
Issue 12
Year Published 1986
Language English
Publisher American Geophysical Union
Contributing office(s) San Francisco Bay-Delta
Description 12 p.
First page 1623
Last page 1634
Online Only (Y/N) N
Additional Online Files (Y/N) N