A σ-coordinate non-hydrostatic model with embedded Boussinesq-type-like equations for modeling deep-water waves
Resource
International Journal for Numerical Methods in Fluids, 63(12), 1448-1470
Journal
International Journal for Numerical Methods in Fluids
Journal Volume
63
Journal Issue
12
Pages
1448-1470
Date Issued
2010
Date
2010
Author(s)
Young, Chih-Chieh
Wu, Chin H.
Abstract
A σ-coordinate non-hydrostatic model, combined with the embedded Boussinesq-type-like equations, a reference velocity, and an adapted top-layer control, is developed to study the evolution of deep-water waves. The advantage of using the Boussinesq-type-like equations with the reference velocity is to provide an analytical-based non-hydrostatic pressure distribution at the top-layer and to optimize wave dispersion property. The σ-based non-hydrostatic model naturally tackles the so-called overshooting issue in the case of non-linear steep waves. Efficiency and accuracy of this non-hydrostatic model in terms of wave dispersion and nonlinearity are critically examined. Overall results show that the newly developed model using a few layers is capable of resolving the evolution of non-linear deep-water wave groups. Copyright © 2009 John Wiley & Sons, Ltd.
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journal article
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