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Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
Joint Authors
Choi, Jae-Young
Im, Dong Kyun
Park, Jangho
Choi, Seongim
Source
International Journal of Aerospace Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
14
Abstract EN
A mapped Chebyshev pseudospectral method is extended to solve three-dimensional unsteady flow problems.
As the classical Chebyshev spectral approach can lead to numerical instabilities due to ill conditioning of the spectral matrix, the Chebyshev points are evenly redistributed over the domain by an inverse sine mapping function.
The mapped Chebyshev pseudospectral method can be used as an alternative time-spectral approach that uses a Chebyshev collocation operator to approximate the time derivative terms in the unsteady flow governing equations, and the method can make general applications to both nonperiodic and periodic problems.
In this study, the mapped Chebyshev pseudospectral method is employed to solve three-dimensional periodic problem to verify the spectral accuracy and computational efficiency with those of the Fourier pseudospectral method and the time-accurate method.
The results show a good agreement with both of the Fourier pseudospectral method and the time-accurate method.
The flow solutions also demonstrate a good agreement with the experimental data.
Similar to the Fourier pseudospectral method, the mapped Chebyshev pseudospectral method approximates the unsteady flow solutions with a precise accuracy at a considerably effective computational cost compared to the conventional time-accurate method.
American Psychological Association (APA)
Choi, Jae-Young& Im, Dong Kyun& Park, Jangho& Choi, Seongim. 2018. Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method. International Journal of Aerospace Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1166890
Modern Language Association (MLA)
Choi, Jae-Young…[et al.]. Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method. International Journal of Aerospace Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1166890
American Medical Association (AMA)
Choi, Jae-Young& Im, Dong Kyun& Park, Jangho& Choi, Seongim. Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method. International Journal of Aerospace Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1166890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166890