Coastal Engineering 1972 1972
DOI: 10.1061/9780872620490.021
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Shoaling of Cnoidal Waves

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Cited by 26 publications
(15 citation statements)
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“…The main difference between the present contribution and the work of (Svendsen and Brink-Kjaer, 1972) and (Svendsen and Buhr Hansen, 1977) is that a genuinely nonlinear definition of the energy flux is used in the cnoidal region. Indeed, while (Svendsen and Brink-Kjaer, 1972) and (Svendsen and Buhr Hansen, 1977) used the same definition of the energy flux for both the linear and the cnoidal solutions, we use the linear flux only for the linear part of the curve, while we use (12) for the nonlinear part of the shoaling curve.…”
Section: Resultsmentioning
confidence: 99%
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“…The main difference between the present contribution and the work of (Svendsen and Brink-Kjaer, 1972) and (Svendsen and Buhr Hansen, 1977) is that a genuinely nonlinear definition of the energy flux is used in the cnoidal region. Indeed, while (Svendsen and Brink-Kjaer, 1972) and (Svendsen and Buhr Hansen, 1977) used the same definition of the energy flux for both the linear and the cnoidal solutions, we use the linear flux only for the linear part of the curve, while we use (12) for the nonlinear part of the shoaling curve.…”
Section: Resultsmentioning
confidence: 99%
“…Because of this limitation, it is necessary in the shoaling problem to compute the initial transition from deep water to intermediate depths by a different theory. In (Svendsen and Brink-Kjaer, 1972) and (Svendsen and Buhr Hansen, 1977), linear wave theory was used for this initial transition, and then continued with cnoidal theory as soon as the depth became small enough for the shallow-water assumption to be valid. However, one problem which the authors of (Svendsen and Brink-Kjaer, 1972) faced was that at the point where linear and cnoidal theory were to be matched, a discontinuity in waveheight appeared in the shoaling curve (see Figure 2).…”
Section: Resultsmentioning
confidence: 99%
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