The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations. (English) Zbl 0757.76047

Summary: We propose a mixed method for solving the two-dimensional unsteady vorticity equations by using the Fourier-spectral approximation in the periodic direction and Chebyshev-spectral approximation in the non- periodic direction. Some numerical results are given, which are compared with those of other methods. Stability of the schemes and the optimal rate of convergence are proved.


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D99 Incompressible viscous fluids
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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