A second order godunov-type scheme for naval hydrodynamics

A second order Godunov-type scheme for the simulation of free surface turbulent incompressible flows is presented. The scheme is applied to the RANSE written in pseudo-compressible formulation, whose asymptotic solution is computed by means of a Runge-Kutta time integration coupled with a multigrid algorithm. Examples of application of this scheme to the computation of the flow in a driven-cavity and past a surface-piercing hull are reported and, for the latter, compared with towing tank experiments carried out at INSEAN. Convergence properties when halving the grid size are also shown.