Bifurcation analysis of incompressible flow in a driven cavity

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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.
Originele taal-2English
UitgeverijUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Aantal pagina's6
StatusPublished - 2000

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