Bifurcation analysis of incompressible flow in a driven cavity

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Abstract

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.
Original languageEnglish
Title of host publicationEPRINTS-BOOK-TITLE
PublisherUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Number of pages6
Publication statusPublished - 2000

Keywords

  • bifurcation
  • continuation
  • eigenvalue problems
  • ILU-factorization
  • algebraic multilevel methods

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