SUMMARY

In this article, the stabilized space-time finite element formulation of incompressible flows, including those involving moving boundaries and interfaces, is reviewed, and results are presented for certain unsteady flows past a circular cylinder. One of the cases studied is flow past a cylinder which is forced to oscillate in the horizontal direction. The case in which the cylinder is mounted on a flexible support and allowed to oscillate in the vertical direction is also studied. In the latter case the motion of the cylinder needs to be determined as part of the solution. Efficient iteration techniques are employed to solve the equation systems resulting from the space-time finite element discretization of the problem. 1