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Analytical approximate wave form for asymmetric waves
Authors:Tiago Abreu  Paulo A Silva  Francisco Sancho  André Temperville
Institution:1. Department of Civil Engineering, Polytechnic Institute of Viseu, ESTV Campus de Repeses, Viseu, 3504-510, Portugal;2. CESAM & Department of Physics, University of Aveiro, 3810-193 Aveiro, Portugal;3. LNEC-DHA, National Civil Engineering Laboratory, Av. do Brasil, 101, Lisboa, 1700-066, Portugal;4. Laboratoire des Ecoulements Géophysiques et Industriels, B.P.53, 38041 Grenoble Cedex 9, France
Abstract:A simple analytical formulation that reproduces a skewed, nonlinear near-bed wave orbital velocity is presented. It contains four free parameters, where two are solely related to the velocity and acceleration skewnesses. The equation is compared with other models and is validated against field and laboratory experiments. The results reveal that it can simulate a wide range of nonlinear wave shapes, reproducing satisfactorily the measured nonlinear wave particle velocity. Also, the new expression overcomes some limitations of the other models. The new formulation is therefore capable of being used in many engineering applications that require the use of representative wave forms.
Keywords:Wave skewness  Wave asymmetry  Acceleration skewness  Orbital velocity  Cnoidal wave  Sawtooth profile
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