Numerical Simulation Of Two-Dimensional Hydrofoil Hydrodynamics With Dissipative Source Green Function Source Panel Method

In this dissertation,based on the Rankine source distribution panel method with dissipative sources,the numerical solution of the boundary integral equation with dissipative Green function for the source panel of a two-dimensional hydrofoil in a uniform flow is studied.The numerical solutions of the surface pressure and free surface wave elevation for a symmetrical hydrofoil is numerically simulated.The hydrodynamic behavior of the flow around an underwater baffle and the free surface wave elevation of various hydrofoils is numerically simulated.The following is the main work of this paper:(1)Based on the Rankine source panel method,the mathematical model is solved numerically in the flow around submerged hydrofoils with an uniform velocities,and the distribution of wave elevation and pressure of symmetrical hydrofoils is numerically simulated with different angles of attack.The numerical results show that wave elevation on the free surface decays refering to the dissipation coefficient in a twodimensional symmetrical hydrofoils.With the increase of Froude number,the wave elevation and period on the free surface will increase.(2)Based on the Rankine source panel method with dissipative free surface,numerical simulation of the free surface wave elevation around the baffle near the free surface,and the variation of free surface wave elevation of baffles with different thickness under uniform flow is numerically simulated.The higher the dissipation coefficient is,the more obvious the attenuation state of the free surface wave elevation is.When the thickness of baffle is getting thinner,the influence of baffle on the wave elevation of free surface is getting bigger.(3)Based on the panel method with dissipated Rankine source distribution,the different hydrofoil shapes,angle of attack and wake interaction with the pressure on the surface of hydrofoil and the variation rule of free surface wave elevation are numerically simulated.The influence of hydrofoil on free surface wave elevation decreases with the decrease of hydrofoil camber.With the increase of Froude number,the pressure on the leading edge of hydrofoil increases.Taking a larger angle of attack as the experiment,it can be found that the hydrofoil with an angle of attack has a more obvious influence on the free surface wave elevation.