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 journalArticle

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
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume64
Issue number626
Publication statusPublished - Oct 1998
Externally publishedYes

Fingerprint

Couette flow
Convergence of numerical methods
Newton-Raphson method
Aspect ratio
Numerical methods
Reynolds number
collocation
aspect ratio
eigenvalues
spatial resolution
perturbation
causes

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics

Cite this

Stability of the spherical couette flow (1st report, a detailed review of the numerical method). / Araki, Keisuke; Kamiya, Shigeyasu; Mizushima, Jiro; Yanase, Shinichiro.

In: Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 64, No. 626, 10.1998, p. 3175-3182.

Research output: Contribution to journalArticle

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