The Influence of Numerical Method and Grid Parameters on the Simulation Accuracy of Damped Oscillations of Free Floating Cylinder

Abstract

The paper concentrates on the influence of grid parameters, the time step size, and the order of temporal and spatial approximation on the solution accuracy of the floating body problem. Damped free oscillations of the cylinder on the water surface is under consideration. The numerical simulation method of the floating bodies is based on the solution of a system of Navier-Stokes equations together with a VOF (Volume of Fluid) method. The Navier-Stokes equations are discretized using finite volume method (FVM), and solved by SIMPLE method. The motion of the body is ensured by the deformation of the computational grid. A CSF (Continuum Surface Force) model is used to account for the surface tension forces. The method is implemented in LOGOS software package. The research has shown that implementation of the second-order scheme for temporal and spatial discretization leads to a more accurate result. The relaxation factor of body surface force has no affects on the solution accuracy.