Numerical Simulation of Wave Overtopping on a Porous Breakwater Using Boussinesq Equations

摘要

We obtain height of waves overtopping on a porous breakwater using both the one-layer and two-layer Boussinesq equations.The one-layer Boussinesq equations of Lee et al.(2014) are used and the two-layer Boussinesq equations are derived following Cruz et al.(1997).For solitary waves overtopping on a porous breakwater,we find through numerical experiments that the height of waves overtopping on a low-crested breakwater (obtained by the Navier-Stokes equations) are smaller than the height of waves passing through a high-crest breakwater (obtained by the one-layer Boussinesq equations) and larger than the height of waves passing through a submerged breakwater (obtained by the two-layer Boussinesq equations).As the 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.