1992
DOI: 10.1029/91jc03147
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A model for the generation of two‐dimensional surf beat

Abstract: A finite difference model predicting group‐forced long waves in the nearshore is constructed with two interacting parts: an incident wave model providing time‐varying radiation stress gradients across the nearshore, and a long‐wave model which solves the equations of motion for the forcing imposed by the incident waves. Both shallow water group‐bound long waves and long waves generated by a time‐varying breakpoint are simulated. Model‐generated time series are used to calculate the cross correlation between wa… Show more

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Cited by 113 publications
(126 citation statements)
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“…In this process, energy is transferred from the sea-swell frequencies to the long waves, which ultimately may reach amplitudes near the shore of tens of centimeters and even meters. There are two mechanisms by which long waves are generated: by enhancement over the sloping seabed in the nearshore zone as a result of the continued forcing by the shoaling waves, up to the breakpoint [15,16], or even within the surf zone [17,18]. Alternatively, IG waves may be generated by a moving breakpoint [19], see Figure 2.…”
Section: Generation Of Lw During Short Wave Breakingmentioning
confidence: 99%
“…In this process, energy is transferred from the sea-swell frequencies to the long waves, which ultimately may reach amplitudes near the shore of tens of centimeters and even meters. There are two mechanisms by which long waves are generated: by enhancement over the sloping seabed in the nearshore zone as a result of the continued forcing by the shoaling waves, up to the breakpoint [15,16], or even within the surf zone [17,18]. Alternatively, IG waves may be generated by a moving breakpoint [19], see Figure 2.…”
Section: Generation Of Lw During Short Wave Breakingmentioning
confidence: 99%
“…Mechanisms for generating low-frequency motion at the shoreline include 1) obliquely incident wave groups (Gallagher 1971;Bowen and Guza 1978), 2) timevarying wave breaking (Symonds et al 1982;List 1992), and 3) bound long wave generated by periodical variations of mean water level due to wave groupiness outside the surf zone (Longuet-Higgins and Stewart 1962). In contrast to numerous studies on wave runup, little data are available relating the limit of wave runup with that of the beach-profile change.…”
Section: Introductionmentioning
confidence: 99%
“…This is an indication of a surge leading the short wave envelope, explaining results presented by List (1992) and Masselink (1995). Due to particular similarities with the incident breakpoint forced long wave, the leading surge generated during the bound wave shoaling was further analyzed.…”
Section: Resultsmentioning
confidence: 62%
“…The cross-correlation analysis present by List (1992) for both field data and numerical results showed that on a sloping bottom, and mainly inside the surf zone, the relation between the bound wave and wave envelope are quite different from the expected classical solution. Instead of a negative peak with zero lag, the correlation was divided into two peaks, one positive (leading) and other negative (lagging) around the zero lag.…”
Section: The Positive Part Of the Bound Wavementioning
confidence: 87%
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