The more familiar spectral method is the Fourier method in which the basis functions are trigonometric functions. Such a basis is adapted to periodic problems. Spatial periodicity appears in a variety of flows. Beside the case of homogeneous turbulence, for which the assumption of periodicity in the three spatial directions is realistic, there also exists a number of physical situations where the flow is periodic in one or two directions. In these last situations, the spatial approximation makes use of Fourier series in the periodic directions associated with another type of approximation, e.g., Chebyshev polynomials, in the nonperiodic directions.
KeywordsFast Fourier Transform Fourier Coefficient Collocation Method Collocation Point Fast Fourier Transform Algorithm
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