High‐order axisymmetric Navier–Stokes code: Description and evaluation of boundary conditions

Abstract

Abstract A description is given of a high‐order solution algorithm for the solution of the unsteady axisymmetric Navier–Stokes equations. The method consists of a combination of fourth‐order and second‐order accurate finite difference schemes, where the approximated equations are solved by an alternating direction implicit (ADI) method. Special attention is paid to the boundary conditions. Results are compared with measurements for the cases of rotating flow within a closed cylinder (rotating driven cavity), developing axial flow in a stationary pipe and developing flow in a rotating pipe.