A finite element solution of wave forces on submerged horizontal circular cylinders

In this paper , a numerical model is established for estimating the wave forces on a submerged horizontal circular cylinder. For predicting the wave motion , a set of two2dimensional Navier2Stokes equations is solved numerically with a finite element method. In order to track the moving non2linear wave surface boundary , the Navier2Stokes equations are discretized in a moving mesh system. After each computational time step , the mesh is modified according to the changed wave surface boundary. In order to stabilize the numerical procedure , a three2step finite element method is applied in the time integration. The water sloshing in a tank and wave propagation over a submerged bar are simulated for the first time to validate the present model. The computational results agree well with the analytical solution and the experimental data. Finally , the model is applied to the simulation of interaction between waves and a submerged horizontal circular cylinder. The effects of the KC number and the cylinder depth on the wave forces are studied.