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 | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |
| Volume | 64 |
| Issue number | 626 |
| Publication status | Published - Oct 1998 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Stability of the spherical couette flow (1st report, a detailed review of the numerical method)
AU - Araki, Keisuke
AU - Kamiya, Shigeyasu
AU - Mizushima, Jiro
AU - Yanase, Shinichiro
PY - 1998/10
Y1 - 1998/10
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.
KW - Computational fluid dynamics
KW - Numerical analysis
KW - Spectral methods
KW - Spherical couette flow
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=71149103676&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=71149103676&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:71149103676
VL - 64
SP - 3175
EP - 3182
JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
SN - 0387-5016
IS - 626
ER -