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Numerical simulation of the flow around four Savonius turbines

MINAKAWA, Akiko KAWAMURA, Tetuya お茶の水女子大学

2023.03.16

概要

One of the vertical axis wind turbines that utilize drag force is the Savonius turbine. Savonius turbines are characterized by low speed rotation and high torque, so they are rarely used for wind power generation but have possibility to apply to ocean current power generation, which has been attracting attention recently. In this report, we actually performed a numerical simulation of the flow using suitable grid, focusing mainly on the case where four wind turbines are rotating in reverse at a constant speed, and investigated the state of the flow field. Two-dimensional incompressible Navier-Stokes equations are adopted as the basic equation and solved numerically using the finite difference method. In addition, in order to enable calculation even in a high Reynolds number flow, the nonlinear term of the equations are approximated by using the third-order accuracy upstream difference method. The simulations are performed with 0 degrees flow and 45 degrees flow for four turbines position. The flow field differs greatly depending on each angle, and the interaction between the wind turbines has been clarified.

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参考文献

[1] Ogawa, T., Yoshida, H. and Sugiura, S., “Study of a Savonius-Type Wind Turbine (4th Report, Effects of the

Mutual Interaction)”, Transaction of the Japan Society of Mechanical Engineers Series B, Vol 52, No.481(1986)

[2] Minakawa, A. and Kawamura, T., “Numerical simulation of interaction between two Savonius turbines aimed at

practical application of ocean current power generation”, WCCM - APCOM 2022, Volume 600 Fluid Dynamics

and Transport Phenomena, DOI: 10.23967/wccm-apcom.2022.084 (2022)

[3] Kawamura, T., “Introduction to numerical simulation”, Computer Science Library 17 Saiensu-sha (2006)

[4] Ishimatsu, K., Shinohara, T and Takuma, F., “Numerical Simulation for Savonius Rotors”, Transactions of the

Japan Society of Mechanical Engineers B, Vol.69, No.569 (1994)

[5] Yanenko, N. N., “The method of fractional steps”, Springer Springer-Velag, (1971)

[6] T. Kawamura and K. Kuwahara, “Computation of high Reynolds number flow around a circular cylinder with

surface roughness”, AIAA Paper, 84 84-0340 (1984)

Akiko Minakawa

Department of Computer Science, Graduate School of Humanities and Sciences, Ochanomizu University

2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan

E-mail: minakawa.akiko@is.ocha.ac.jp

Tetuya Kawamura

2-1-1 Otsuka, Bunkyo-ku, Tokyo, 112-8610, Japan

E-mail: kawamura@is.ocha.ac.jp

...

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