Choi, Jae-YoungIm, Dong KyunPark, JanghoChoi, Seongim Sarah2018-08-062018-08-062018-08-01Jae-Young Choi, Dong Kyun Im, Jangho Park, and Seongim Choi, “Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method,” International Journal of Aerospace Engineering, vol. 2018, Article ID 2508153, 14 pages, 2018. doi:10.1155/2018/2508153http://hdl.handle.net/10919/84507A 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.application/pdfenCreative Commons Attribution 4.0 InternationalArticle - Refereed2018-08-05Copyright © 2018 Jae-Young Choi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.https://doi.org/10.1155/2018/2508153