An implicit finite difference method for the solution of the Navier Stokes equations for unsteady flows between rotating coaxial cylinders.

In this paper an implicit finite difference method for the solution of the complete Navier Stokes equations is discussed. The method is applicable for the investigation of steady and unsteady flows between coaxial cylinders. Due to their superior numerical stability characteristics over explicit methods preference was given to an implicit method. The intended investigation of laminar flow instability, which exists in this case for larger Reynolds numbers, places stringent requirements concerning the numerical stability on a numerica'method. Here, essential parts of the numerical method are described and finally some typical results of steady and unsteady flow calculations are given. (A)