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A theoretical model is developed for wave heights and set-up in a surf zone. In the time-averaged equations of energy and momentum the energy flux, radiation stress and energy dissipation are determined by simple approximations which include the effect of the surface roller in the breaker and the actual shape of the waves. To the first approximation the roller represents a volume of water moving with the wave speed. It significantly changes both energy flux and radiation stress of the surf zone waves. The equations of energy and momentum are solved simultaneously to give the wave height variation and the set-up. Comparison with measurements shows good agreement. Also the transitions immediately after breaking are analyzed and shown to be in accordance with the above-mentioned ideas and results.  相似文献   

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