Abstract
Nowadays, as the development of Computational Fluid Dynamics (CFD) and the numerical wave tank (NWT) has advanced, numerical analysis has become increasingly useful and powerful for the ship designing and ship hydrodynamics. In this study, a momentum source wave-maker and an analytical relaxation wave absorber were embedded into 2D RANS equation model with RSM turbulence closure scheme to establish the NWT for ship designing and hydrodynamics. The VOF (volume-of-fluid) method was applied to accurately capture the water free surface. The body force-weighted scheme is chosen for pressure interpolation and the second order upwind scheme for discretization of the momentum equation. In order to calculate convection and diffusion fluxes through the control volume faces, PISO algorithm is adopted for pressure-velocity coupling. The momentum source function for wave generation and the analytical relaxation function for wave absorption were deduced for constructing the NWT (numerical wave tank). The proposed NWT was then validated by the laboratory measurements of Umeyama and the analytical solution, indicating that the constructed NWT is effective and accurate.
Highlights
The computer technology and numerical methods used in marine science and technology have evolved a lot including these aspects: ocean wave power generation, marine resources exploitation, and marine transportation
As the development of computer technology and numerical methods based on Computational Fluid Dynamics (CFD) has advanced, numerical simulation has become increasingly useful and powerful for showing the complicated flow fields encountered in developing the marine science and technology under water wave and current conditions
When deciding the exact turbulence model for wave generation using the momentum source function method, we found that the Reynolds Stress Model (RSM) converged faster and gives better results than the other turbulence models
Summary
The computer technology and numerical methods used in marine science and technology have evolved a lot including these aspects: ocean wave power generation, marine resources exploitation, and marine transportation. For the application of the source line method based on the mild-slope equations model, Lee and Suh [14] successfully generated directional monochromatic and random waves This method was developed and applied to the study of wave energy converters by Beels et al [15]. The momentum source function method proposed firstly by Junwoo Choi [19] is more convenient than the mass source function method because the width of the momentum source domain is the only parameter to be specified, whereas the mass source function method has three parameters (i.e., height, width, and location of the mass source domain), but the application based on Navier-Stokes equations or RANS equations for simulating the regular and irregular wave propagation over constant water depth has been reported in few studies. To evaluate the application of this method to generate a target wave train in a vertical 2-dimensional channel of constant depth, the numerical results were compared to the laboratory measurements by Umeyama [20] and the analytical solutions
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