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1985•Journal of Waterway Port Coastal and Ocean EngineeringRequires access

Wave Runup Formulas for Smooth Slopes

John P. Ahrens, Martin F. Titus

Open publisher page 30 citations

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.

About this research paper

What this paper is about

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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OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Monochromatic color, Monochromatic electromagnetic plane wave, Nonlinear system, Range (aeronautics), Plane wave, Plane (geometry), Mathematics, Mathematical analysis

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