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.


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