American Society of Civil Engineers

Nonlinear Shallow Water Equation Modeling for Coastal Engineering

by Maruizio Brocchini, (Istituto di Idraulica e Infrastrutture Viarie, Università Politecnica delle Marche, Via Brecce Bianche 12, 60131 Ancona, Italy. E-mail: and Nicholas Dodd, (School of Civil Engrg., Univ. of Nottingham, University Park, Nottingham NG7 2RD, U.K. E-mail:

Journal of Waterway, Port, Coastal and Ocean Engineering, Vol. 134, No. 2, March/April 2008, pp. 104-120, (doi:

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Document type: Journal Paper
Abstract: Modeling of nearshore flows by means of the classic nonlinear shallow water equations is reviewed and analyzed with a specific focus on the interdependence between physical phenomena, model equations, and numerical schemes. Numerical benchmarking solutions for coastal applications are summarized. Strengths and limits of the nonlinear shallow water equations to reproduce the fundamental features of coastal flows are illustrated along with indications on needed improvements.

ASCE Subject Headings:
Shallow water
Coastal engineering