Stability of the spherical couette flow (1st report, a detailed review of the numerical method)

Keisuke Araki, Shigeyasu Kamiya, Jiro Mizushima, Shinichiro Yanase

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Linear stability of the spherical Couette flow is numerically investigated when the aspect ratio ß=0.5. The present report gives a deteiled review of the numerical method to calculate the unperturbed flow and to solve the eigenvalue problem for the perturbation flow associated with the linear stability problem. Collocation method together with the Newton-Raphson method and the double QR method is adopted. In the course of convergence check, it is found that insufficient spatial resolution causes a serious underestimation of the marginal Reynolds number.

    Original languageEnglish
    Pages (from-to)3175-3182
    Number of pages8
    JournalNihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
    Volume64
    Issue number626
    DOIs
    Publication statusPublished - Oct 1998

    Keywords

    • Computational fluid dynamics
    • Numerical analysis
    • Spectral methods
    • Spherical couette flow
    • Stability

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanical Engineering

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