Mathematical model of snake-type multi-directional wave generation

Abstract

Research on extreme wave generation is one intensive research on water wave study because the fact that the occurrence of this wave in the ocean can cause serious damage to the ships and offshore structures. One method to be used to generate the wave is self-correcting. This method controls the signal on the wavemakers in a wave tank. Some studies also consider the nonlinear wave generation in a wave tank by using numerical approach. Study on wave generation is essential in the effectiveness and efficiency of offshore structure model testing before it can be operated in the ocean. Generally, there are two types of wavemakers implemented in the hydrodynamic laboratory, piston-type and flap-type. The flap-type is preferred to conduct a testing to a ship in deep water. Single flap wavemaker has been explained in many studies yet snake-type wavemaker (has more than one flap) is still a case needed to be examined. Hence, the formulation in controlling the wavemaker need to be precisely analyzed such that the given input can generate the desired wave in the space-limited wave tank. By applying the same analogy and methodhology as the previous study, this article represents multi-directional wave generation by implementing snake-type wavemakers.

The dynamics of surface wave propagation based on the Benjamin Bona Mahony equation

“…In the wave generation process at the wave tank in the hydrodynamic laboratory, a time signal is given to a wave generator that determines the motion of the type of wave generator that pushes the water. Several types of wave generators in the hydrodynamic laboratory are discussed in [53,54,55,56]. The waves generated propagate downstream along with the wave tank.…”