Space-time finite element computation of incompressible flows with emphasis on flows involving oscillating cylinders

Abstract

In this article, the stabilized space-time finite element formulation of incompressible folws, 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 folw 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 interaion techniques are employed to solve the equation systems resulting from the space-time finite element discretization of the problem.