Fourier-Chebyshev Pseudospectral Method for Three-Dimensional Vorticity Equation

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Abstract

In this paper, a Fourier-Chebyshev pseudospectral scheme with mixed filtering is proposed for three-dimensional vorticity equation. The generalized stability and convergence are proved. The numerical results show the advantages of this method.

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Pseudospectral method vorticity equation error estimates.
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Fourier-Chebyshev Pseudospectral Method for Three-Dimensional Vorticity Equation. (1998). Journal of Computational Mathematics, 16(5), 417-436. https://gsp.tricubic.dev/JCM/article/view/11290