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 | |
| Publication status | Published - Oct 1998 |
| Externally published | Yes |
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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Cite this
Araki, K., Kamiya, S., Mizushima, J., & Yanase, S. (1998). Stability of the spherical couette flow (1st report, a detailed review of the numerical method). Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 64(626), 3175-3182. https://doi.org/10.1299/kikaib.64.3175