Numerical experiment setup where initial wave properties and bathymetry condition are described. Wave absorbing boundary, Sommerfeld radiation and sponge layer, are applied at the right boundary. 5th order Stokes wave theory is selected and applied based on computed Ursell parameter as incident wave at the left boundary.

The result shows that the Boussinesq equations are able to model the propagation of regular waves on a constant depth satisfactory. In addition to that, ideally an open absorbing boundary should allow wave components to pass through undisturbed. It may conclude from simulation below that Sommerfeld radiation and sponge layer are well effective in order to absorb long and short wave respectively.

The maximum variation of wave height in the computation domain before any reflection from the absorbing boundary is less than 0.5% as shown

Simulation of Non-breaking Regular Wave Propagation on a Sloping Beach up to Breaking Location

Simulation of Breaking Regular Wave Propagation on a Sloping Beach up to Very Shallow Water Depth

Simulation of Non-breaking Regular Wave Runup Propagation on a Sloping Beach

Simulation of Breaking Regular Wave Runup Propagation on a Sloping Beach