Wave Runup Formulas for Smooth Slopes

Abstract
A method of estimating wave runups on plane, smooth slopes is presented. The method uses empirical formulas to predict monochromatic wave runups for a wide range of surf conditions. Intuitive arguments are used to support the form of the equations. The analysis shows that wave nonlinearity has a strong influence on the runup of nonbreaking, monochromatic waves. Other factors being equal, the more nonlinear the wave the greater the runup. Comparisons show that the formulas given make good estimates of the observed wave runup elevations.

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