Abstract
A Fourier-Chebyshev pseudospectral scheme is proposed for solving a simplified problem of the three-dimensional unsteady Navier-Stokes equations. Such scheme keeps the convergence rate of “infinite order”, and is easy to be performed. To avoid the difficulty of constructing the trail function space satisfying incompressible condition, the pressure is evaluated by solving a Poisson’s equation. The generalized stability and convergence are analyzed strictly by energy method. The numerical experiments show the advantages of this method.
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Jian, L., Ben-yu, G. Fourier-Chebyshev pseudospectral method for three-dimensional Navier-Stokes equations. Japan J. Indust. Appl. Math. 14, 329–356 (1997). https://doi.org/10.1007/BF03167388
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DOI: https://doi.org/10.1007/BF03167388