Abstract:Fourier expansions in the radial direction for unbounded ows expressed in a cylindrical coordinate system are proposed. By appropriate coordinate mapping and periodic extension in the r direction, periodic boundary conditions required by Fourier expansions and in nite di erentiability demanded by spectral convergence are established. Appropriate zero factors for the general Fourier expansions are given at the axis and at in nity in order to remove the numerical singularity at r = 0 and to satisfy all the bound… Show more
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