In this paper we present parallel 2D and 3D finite 
element computation of unsteady, incompressible free-surface flows.  
The computations are based on the Deformable-Spatial-Domain/Stabilized 
Space-Time (DSD/SST) finite element formulation, which takes 
automatically into account the motion of the free surface.  The 
free-surface height is governed by a kinematic free-surface condition, 
which is also solved with a stabilized formulation.  The meshes 
consist of triangles in 2D and triangular-based prism 
elements in 3D. The mesh update is achieved with general or 
special-purpose mesh moving schemes.  As examples, 2D flow past 
spillway of a dam and 3D flow past a surface-piercing circular 
cylinder are presented.