Parallel finite element computation of free-surface flows

In this paper we present parallel 2D and 3D finite element computation of u nsteady, incompressible free-surface flows. The computations are based on t he 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 c ondition, which is also solved with a stabilized formulation. The meshes co nsist of triangles in 2D and triangular-based prism elements in 3D. The mes h update is achieved with general or special-purpose mesh moving schemes. A s examples, 2D flow past spillway of a dam and 3D flow past a surface-pierc ing circular cylinder are presented.