Abstract: The near-water surface wave-body interaction is a classical problem in hydrodynamics numerical simulation, and its theory is widely used in ocean engineering and other fields. In this paper is under the circumstance that there are few studies on the variation of underwater oscillatory body and free surface wave in the existing literature. A mathematical model of potential flow underwater cylindrical vibration based on de-singularization Rankine source panel method is established, and the numerical solution of free surface wave elevation of underwater oscillatory cylinder is numerically simulated by Rankine source method. The numerical results of this paper are compared with those of predecessors, and the correctness and validity of this algorithm are verified. Finally, the free surface wave heights under the action of free surface waves and oscillatory cylinders and the surface pressure of oscillatory cylinders under different parameters are numerically simulated. The numerical results show that the free surface wave elevation and the surface pressure of oscillatory cylinders vary with the frequency, amplitude and immersion depth of the oscillatory cylinders.

Key words: de-singularized Rankine source, wave elevation, potential flow, source panel method, oscillatory cylinders