An improved low-order boundary element method for breaking surface waves

A new compatibility condition, applied to the velocity of the free surface particles, enables the simulation of plunging breakers, up to the creation of a thin jet, without numerical smoothing. An improved formulation of a boundary element method for the simulation of surface waves problems is derived and tested through some numerical examples. A numerical wave channel with a wavemaker and an energy absorber is developed and used for a comparison of the non-linear solution with first and second order steady solutions in the frequency domain. Finally, the shoaling of with published experimental results.