Numerical simulation of viscous flows with free surface around realistic hull forms with transom (Q2770314)

This paper describes a method for simulation of viscous steady flows with a free surface around realistic hull forms with a transom, which has been developed based on a FINFLO RANS solver with a moving mesh. A dry-transom model is proposed and implemented for the treatment of flows off the transom. The bulk RANS flow with the artificial compressibility is solved by a cell-centred finite volume multigrid scheme, and the free surface deformed by wave motions is tracked by satisfying kinematic and dynamic free-surface boundary conditions on the actual location of the surface. The effects of turbulence on flows are evaluated with Baldwin-Lomax turbulence model without a wall function. A test case is modern container ship model with a transom, the Hamburg Test Case. The calculated results are validated, and they agree well with measured results in terms of free-surface waves and the total resistance coefficient. Furthermore, the numerical solutions succesfully capture many important features of the complicated interaction of the free surface with viscous steady flows around transom stern ships. It should be noted that the damping of the far-field waves, especially in the wake, is strong due to the effects of viscosity and/or the grid size. In addition, the convergence performance and grid refinement studies are also presented.