Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow
Joint Authors
Meng, Guang
Liu, J. K.
Chen, Y. M.
Zhang, Y. P.
Source
Advances in Acoustics and Vibration
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The homotopy analysis method (HAM) is employed to propose a highly accurate technique for solving strongly nonlinear aeroelastic systems of airfoils in subsonic flow.
The frequencies and amplitudes of limit cycle oscillations (LCOs) arising in the considered systems are expanded as series of an embedding parameter.
A series of algebraic equations are then derived, which determine the coefficients of the series.
Importantly, all these equations are linear except the first one.
Using some routine procedures to deduce these equations, an obstacle would arise in expanding some fractional functions as series in the embedding parameter.
To this end, an approach is proposed for the expansion of fractional function.
This provides us with a simple yet efficient iteration scheme to seek very-high-order approximations.
Numerical examples show that the HAM solutions are obtained very precisely.
At the same time, the CPU time needed can be significantly reduced by using the presented approach rather than by the usual procedure in expanding fractional functions.
American Psychological Association (APA)
Zhang, Y. P.& Chen, Y. M.& Liu, J. K.& Meng, Guang. 2011. Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow. Advances in Acoustics and Vibration،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-508665
Modern Language Association (MLA)
Zhang, Y. P.…[et al.]. Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow. Advances in Acoustics and Vibration No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-508665
American Medical Association (AMA)
Zhang, Y. P.& Chen, Y. M.& Liu, J. K.& Meng, Guang. Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow. Advances in Acoustics and Vibration. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-508665
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508665