Bifurcation analysis of incompressible flow in a driven cavity by the Newton–Picard method

G Tiesinga, FW Wubs*, AEP Veldman

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    35 Citations (Scopus)


    Knowledge of the transition point of steady to periodic flow is becoming increasingly important in the study of laminar–turbulent flow transition or fluid–structure interaction. Such knowledge becomes available through the Newton–Picard method, a method related to the recursive projection method. Here, this method is applied to study the bifurcation behavior of the flow in a driven cavity between Reynolds number 7500 and 10,000. For the time discretization the θ-method is used and for the space discretization a robust finite-volume method. The implicit relations occurring after linearization are solved by the multilevel ILU solver MRILU. The results presented in this paper confirm findings from earlier work with respect to the transition point. They give more detailed information on unstable modes and clarify time series found by others.
    Original languageEnglish
    Article numberPII S0377-0427(01)00515-5
    Pages (from-to)751-772
    Number of pages22
    JournalJournal of Computational and Applied Mathematics
    Issue number1-2
    Publication statusPublished - 1-Mar-2002
    Event9th International Congress on Computational and Applied Mathematics - , Belgium
    Duration: 17-Jul-200021-Jul-2000


    • algebraic multi-level methods
    • eigenvalue problems
    • continuation
    • bifurcation analysis of periodic flow
    • symmetry-preserving discretization

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