Numerical Simulation of Overtopping of Cnoidal Waves on a Porous Breakwater Using the Boussinesq Equations: Comparison with Solutions of the Navier-Stokes Equations
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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.
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.
참고문헌 (12)
- Research and development of a numerical wave flume; CADMAS-SURF Report of the research group for development of numerical wave flume for the design of maritime structures, "CDIT", Coastal Development Institute of Technology, ~ (2001)
- Cruz, E.C., "Boussinesq equations for wave transformation on porous beds", Coastal Engineering, 30, pp.125~156 (1997)
- Engelund, F.A., "On the laminar and turbulent flows of ground water through homogeneous sand" (1953), Danish Academy of Technical Sciences
- Ergun, S., "Fluid flow through packed columns", Chemical Engineering Progress, 48, pp.89~94 (1952)
- Gingold, R.A., "Smoothed particle hydrodynamics: Theory and application to nonspherical stars", Mon. Not. R. Astron. Soc, 181, pp.375~389 (1977)
- Thanh Thu Huynh, "Numerical Simulation of Wave Overtopping on a Porous Breakwater Using Boussinesq Equations", 한국해안·해양공학회논문집, 29(6), pp.326~334 (2017), 한국해안,해양공학회
- FUNWAVE 1.0 Fully nonlinear Boussinesq wave model documentation and user’s manual, "Kirby, J.T.", ~, pp.Research report No. CACR98-06 (1998)
- Lara, J.L., "Three-dimensional interaction of waves and porous coastal structures. Part II: Experimental validation", Coastal Engineering, 64, pp.26~46 (2012)
- Lin, P., "A numerical study of breaking waves in the surf zone", Journal of Fluid Mechanics, 359, pp.239~264 (1998)
- Madsen, P.A., "A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2: A slowly varying bathymetry", Coastal Engineering, 18, pp.183~204 (1992)
- Vidal, C., "Solitary wave transmission through porous breakwaters", Proc. 21st International Conference on Coastal Engineering, pp.1073~1083 (1988), ASCE
- Vu, V.N., "Extended Boussinesq equations for waves in porous media", Coastal Engineering, 139, pp.85~97 (2018)