Penn State University
University Park, Pennsylvania, U. S. A.
We shall present an extremely efficient and accurate numerical scheme for the Navier-Stokes equations in primitive variables in enclosed cylinder(s). The scheme is based on a fast spectral-Galerkin approximation for the space variables and an appropriate projection method for the time variable. We shall present a numerical investigation for a number of canonical rotating flows in enclosed cylinder(s) in an effort to isolate generic mechanisms which lead to transitions to turbulence in rotating flows and to design corresponding dynamic control mechanisms to either delay transition or limit the intensity of the resultant instabilities.