Bifurcation analysis of incompressible flow in a driven cavity

Knowledge of the transition point of steady to periodic flow and the frequency occurring hereafter is becoming increasingly more important in engineering applications. By the Newton-Picard method - a method related to the recursive projection method - periodic solutions can be computed, which makes such knowledge available. In the paper this method is applied to study the bifurcation behavior of the flow in a driven cavity at Reynolds numbers between 7500 and 10000. For the time discretization the θ-method is used and for the space discretization a symmetry-preserving finite-volume method. The implicit relations occurring after linearization are solved by the multilevel ILU solver MRILU. Our results extend findings from earlier work with respect to the transition point.