Abstract
The field of spectral methods in fluid mechanics is still very much in the developmental phase. As a result, application of the method is still somewhat of an art. At this time, the spectral method has been applied to solve primitive-variable, stream-function vorticity and stream-function only formulations. In each of these formulations, the unsteady equations were solved and the primary difficulty occurs in satisfying the proper boundary conditions. In some basic studies, one can neglect the boundary-condition questions by simply imposing periodic boundary conditions that are naturally satisfied by employing a Fourier spectral expansion. However, if examining flows with prescribed boundary conditions, then the straightforward Fourier expansion approach can become unsatisfactory.
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© 1983 Springer-Verlag New York Inc.
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Peyret, R., Taylor, T.D. (1983). Spectral-Method Solutions for Incompressible Flows. In: Computational Methods for Fluid Flow. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85952-6_8
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DOI: https://doi.org/10.1007/978-3-642-85952-6_8
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