In this investigation the Reynolds-Averaged Navier-Stokes (RANS)equations are modified to account for variable density and viscosity ofthe two-fluids flow (i.e. water-air), assuming both fluids compressible.By introducing a preconditioner, the governing equations in terms ofprimitive variables are solved for both fluids in a unified manner. Thenon-conservative implicit Split Coefficient Matrix Method (SCMM) ismodified to approximate convective flux vectors in the dual timeformulation. The free surface waves inside the tank, due to sloshing, areimplicitly captured by using a level set approach.The method is illustrated through applications to rectangular andchamfered tanks subject to sway or roll motions at different fillinglevels and excitation conditions (i.e. amplitude and frequency ofoscillation). Comparisons are made between calculated andexperimental pressures, where available.
展开▼