SIMULATION OF 3-DIMENSIONAL LIQUID SLOSHING FLOWS USING A STRONGLY IMPLICIT CALCULATION PROCEDURE

A coupled strongly implicit solution strategy for unsteady three-dimen sional free surface flows has been developed based on an artificial co mpressibility formulation for the incompressible Navier-Stokes equatio ns. A pseudotime term has been used in the continuity equation to perm it time-accurate calculations to be achieved. The scheme appears capab le of tracking the free surface reasonably accurately inside a partial ly filled spherical container undergoing a general rotating motion cha racteristic of that experienced by a spin-stabilized satellite. Five d ifferent free surface calculations have been presented. Some of the re sults exhibit an interesting Reynolds number dependent oscillatory beh avior that is believed to be physical, although no experimental result s appear to be available for verification to date.