Realistic In ow Conditions for Numerical Green Water Simulations

Figure 1: Close-up of the cell labeling at the wave surface. To model realistic in ow conditions for green water simula-tions, a free oating ship in a non{linear realistic wave eld should be modeled. First the extension of the numerical tool with a realistic wave eld is investigated. The simulation of non{linear realistic waves in the VOF code is investigated with special attention to the articial boundaries used to limit the computational domain. Boundary conditions For the discretisation of Laplace all velocities on the cell faces has to be known. Therefore, the FB-velocities need to be prescribed. For the discretisation of momentum equa-tion, not only the FB-velocities, but also the SB-velocities, BB-velocities, the SE-velocities and the EE-velocities ad-jacent to a SS-velocity need to be prescribed. Further, the pressures on either side of the velocity around which the mo-mentum equation is discretised, is needed. This means that to discretise the momentum equation around FS- and SS-velocities the pressure in the S-cells needs to be prescribed. The FB-, SB- and the BB-velocities are prescribe us-ing the no-slip or free-slip conditions on solid boundaries. When the boundary acts as an articial boundary it should also prescribe the FB-, SB- and the BB-velocities, this is discussed in the next section. The SE-velocities and the EE-velocities adjacent to a SS-velocities and the pressure in S-cells are prescribed us-Technical University Delft yMaritime Research Institute Netherlands ing the free surface conditions. The EE-velocities are pre-scribed using the surface stresses. In 2D this equation is simpli ed to