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Title:A STOCHASTIC MODEL FOR NONLINEAR SURFACE WAVES OVER TOPOGRAPHY
DOI No:10.1142/9789812709554_0010
Source:COASTAL ENGINEERING 2006 (pp 110-122)
Author(s):T. T. Janssen
Corresponding author.

Department of Oceanography, Naval Postgraduate School, Monterey, CA 93940, USA

T. H. C. Herbers
Department of Oceanography, Naval Postgraduate School, Monterey, CA 93940, USA

J. A. Battjes
Environmental Fluid Mechanics, Faculty of Civil Engineering & Geosciences, Delft University of Technology, Stevinweg 1, 2628 CN, Delft, The Netherlands

Abstract:Based on a deterministic angular-spectrum model, we derive a stochastic model for nonlinear, inhomogeneous random wave evolution over nearshore topography. The stochastic model is a weak-refraction, wide-angle diffraction approximation, and accounts for quadratic nonlinearity and depth-induced breaking. Comparison to observations confirms that 1) inhomogeneity in a topography-induced refractive focus, and 2) nonlinear dynamics in shoaling waves on a natural beach, are well represented in the stochastic model.
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