Nonlinear wave generation using a heaving wedge

This paper investigates the optimization of second-order control signals required to produce stable non-linear, deep-water waves using a wedge-shaped, plunger-type wave generator. Both numerical and experimental methods are utilized. A fully non-linear and dispersive potential flow (FNPF) solver developed at DTU is used for the numerical work, following improvements that reduce reflection to 1%. The numerical solver is validated against theoretical and experimental data. A defect correction optimization scheme is employed, resulting in optimized control signals for non-dimensional wave numbers of 2.04-8.17 and steepness of 3-7%. These control signals produce waves that are within 2% of stream function theory solutions for the fundamental harmonic component, and within 10% for the second-order harmonic component. The results demonstrate both the applicability of this optimization procedure and the suitability of a heaving wedge for generating stable nonlinear deep-water waves.

Automated summary

This paper investigates the optimization of second-order control signals for producing stable non-linear deep-water waves using a wedge-shaped wave generator. Both numerical and experimental methods are utilized, with the results demonstrating the applicability of the optimization procedure and the suitability of the heaving wedge for generating stable nonlinear deep-water waves.