Abstract
Localization of spectral methods has been a significant problem in computational fluid dynamics [1]. Domain decomposition techniques [2] have succeeded in reducing the global effects to each sudomain, but they are still not satisfactory for the needs of flexibility in treating complex phenomenon and geometry. Finite spectral method based on non-periodic Fourier transform is the first attempt of dealing with spectral methods pointwise [3], while more CPU time is required than FFT. In order to compete with finite difference method and finite element method, it is necessary to develop a local spectral method not only being flexible but also efficient.
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References
J. P. Wang: ‘Key to Problems in Spectral Methods’. In Computational Fluid Dynamics Review 1998. ed. by M. Hafez, K. Oshima (World Scientific, Singapore 1998) pp. 369–378
A. T. Patera: J. Comput. Phys. 54, 468(1984)
J. P. Wang: Computers & Fluids 27, 639(1998)
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© 2001 Springer-Verlag Berlin Heidelberg
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Wang, JP. (2001). Finite Spectral Method for Non-Periodic Problems. In: Satofuka, N. (eds) Computational Fluid Dynamics 2000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56535-9_139
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DOI: https://doi.org/10.1007/978-3-642-56535-9_139
Publisher Name: Springer, Berlin, Heidelberg
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