An Efficient Spectral-Projection Method for the Navier–Stokes Equations in Cylindrical Geometries: II. Three-Dimensional Cases

An efficient and accurate numerical scheme is presented for the three-dimensional Navier–Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.