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

Keisuke Araki; Shigeyasu Kamiya; Jiro Mizushima; Shinichiro Yanase

doi:10.1299/kikaib.64.3175

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

Keisuke Araki, Shigeyasu Kamiya, Jiro Mizushima, Shinichiro Yanase

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	3175-3182
Number of pages	8
Journal	Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume	64
Issue number	626
DOIs	https://doi.org/10.1299/kikaib.64.3175
Publication status	Published - 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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10.1299/kikaib.64.3175

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

In: Nihon 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 journal › Article › peer-review

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N2 - 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.

AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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