3D Numerical Solution of True Transient Incompressible Viscous Flow with Free Surface

The SOLA-VOF is extended to calculate the water flow in an open cylinder, the rotation rate of which changes in a trapezoid wave. The water flow is true transient. The primary variables of the governing equation are primitive ones-the pressure and velocity components. Staggered non-uniform meshes and explicit iteration are used. The numerical result is consistent with the experimental phenomenon. If the cylinder rotates at a constant speed until the water and the cylinder act together as one rigid unity, the calculated free surface shape is very close to that predicted by the theoretical formula, which proves that the treatment to the free surface is correct.