A New Formulation of the Stokes Problem in a Cylinder, and Its Spectral Discretization
نویسندگان
چکیده
We analyze a new formulation of the Stokes equations in three-dimensional axisymmetric geometries, relying on Fourier expansion with respect to the angular variable: the problem for each Fourier coefficient is two-dimensional and has six scalar unknowns, corresponding to the vector potential and the vorticity. A spectral discretization is built on this formulation, which leads to an exactly divergence-free discrete velocity. We prove optimal error estimates. Mathematics Subject Classification. 65N35. Received: May 16, 2003.
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