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http://dx.doi.org/10.9765/KSCOE.2019.31.2.41

Numerical Simulation of Overtopping of Cnoidal Waves on a Porous Breakwater Using the Boussinesq Equations: Comparison with Solutions of the Navier-Stokes Equations  

Huynh, Thanh Thu (Department of Civil & Environmental Engineering, Sejong University)
Lee, Changhoon (Department of Civil & Environmental Engineering, Sejong University)
Ahn, Suk Jin (Research Institute, GeoSystem Research Corporation)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.31, no.2, 2019 , pp. 41-49 More about this Journal
Abstract
We approximately obtain heights of cnoidal waves overtopping on a porous breakwater using both the one-layer Boussinesq equations (Vu et al., 2018) and the two-layer Boussinesq equations (Huynh et al., 2017). For cnoidal waves overtopping on a porous breakwater, we find through numerical experiments that the heights of cnoidal waves overtopping on a low-crested breakwater (obtained by the Navier-Stokes equations) are smaller than the heights of waves passing through a high-crested breakwater (obtained by the one-layer Boussinesq equations) and larger than the heights of waves passing through a submerged breakwater (obtained by the two-layer Boussinesq equations). As the cnoidal wave nonlinearity becomes smaller or the porous breakwater width becomes narrower, the heights of transmitting waves obtained by the one-layer and two-layer Boussinesq equations become closer to the height of overtopping waves obtained by the Navier-Stokes equations.
Keywords
Boussinesq equations; Navier-Stokes equations; porous breakwater; overtopping; cnoidal waves; numerical experiment;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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