Numerical Simulation Of Interaction Between Steady-state Wave Groups And Vertical Circular Cylinder In Finite Water

With the exploitation of oil and gas resources transferred from land to the wider ocean,various kinds of ocean engineering structures are widely distributed at different water depths.Due to the influence of water depth on the nonlinear interaction between waves,the interactions between waves and structures in finite water are more complex than that in deep water.To study the interactions between waves and structures,it is necessary to enhance the understanding of wave spectrum evolution on the wave-structures interactions in finite water.Homotopy analysis proposed a new way to consider the resonance effect from the perspective of boundary value method.The steady-state resonance waves,which was proposed from the homotopy analysis,provides a new perspective to study the evolution of wave spectrum by replacing the wave energy variation with time to the distribution of wave energy in parameter space.Among the various offshore structures,the vertical circular cylinder is the most basic support structure.Therefore,it is of great significance to study the interactions between the steady-state resonance waves and the cylinder at different water depths.Based on the solver waves2 foam developed by open-source CFD software Open FOAM,the numerical simulation of the interactions between the steady-stated resonance waves and cylinder with different wave nonlinearity at different water depths are carried out.Firstly,the numerical wave tank based on waves2 foam was verified,and was found that it performed well in wave-making and wave absorbing,and the shape of steady-stated resonance waves generated by the numerical wave tank was in good agreement with the theoretical results.Also,the numerical results of the interactions between regular waves and cylinder were in good agreement with the experimental results,which can be included that the numerical wave tank was able to accurately simulate the wave loading.Secondly,the numerical simulations of the interactions between the steady-state resonance wave groups and the cylinder in deep water were carried out,and the wave loading,wave run-up and flow field with different nonlinearity were compared.Finally,the numerical simulations of the interactions between the steady-state resonance wave groups and the cylinder in finite water were carried out,and the results were compared with those in deep water to analyze the influence of water depth on the wave-structure interactions.It can be concluded that the water depth has a great influence on the wave loading and has little influence on the wave run-up.In this paper,the numerical wave tank is used to simulate the wave loading on the vertical circular cylinder in the steady-state resonance wave group,and the influence of water depth and wave nonlinearity on the wave loading,wave run-up and flow field is analyzed,which can be served as a guideline for studying the interactions between the steady-state resonance wave groups and structures at different water depths.