On the accuracy of large-steepness regular wave generation, propagation and run-up on a cylinder

Abstract

A viscous wave flume, which combines the VOF-based RANS method and the fifth-order Stokes wave theory, is modeled to investigate the accuracy of large-steepness regular wave generation, propagation, and interaction with structure. To implement the wave-making and wave-eliminating function in the numerical flume, wave-making and wave-dissipation momentum sources and boundary condition matched with the fifth-order Stokes wave theory are developed to ensure the accuracy of the waves propagation. Additionally, a solving strategy that divides the wave flume into the laminar flow region and turbulent flow region is adopted to avoid the adverse effect of turbulence on the wave-making accuracy. To verify the effectiveness of the proposed method, the propagation of regular waves with steepnesses from 1/50 to 1/10 and the waves run-up on a vertical cylinder are simulated. The numerical results agree well with the theoretical results and the model test results. Furthermore, the effects of turbulence, the wave-making momentum source, and the Stokes wave theory order on the simulation accuracy of waves with different steepnesses are discussed.