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A spectral-difference method for solving two-dimensional vorticity equations. (English) Zbl 0668.76022

We construct a spectral-difference scheme for solving two-dimensional vorticity equation with a single periodical boundary condition. The conservation, the generalized stability and the convergence are proved. Both steady and unsteady problems are considered.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
35Q99 Partial differential equations of mathematical physics and other areas of application
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