Development of an iterative boundary-layer-type solver for axisymmetric separated flows

Abstract

A boundary-layer-type solver is developed for the numerical solution of axisymmetric separated flows. A new, fully implicit coupling scheme for the viscous and inviscid regions is demonstrated. This fully implicit coupling technique is similar to the work of Carter and of Veldman and an extension of an earlier work of Halim and Hafez. A comparison is made for the convergence rate using this new, fully implicit coupling technique and the semi-implicit coupling of Halim and Hafez. Numerical results using the fully implicit coupling are obtained for laminar incompressible separated flows, including a boattail and a series of trough geometries. Also, the nearwake flow problem is considered using the present formulation. A clear conclusion of this investigation is that the present scheme, using the fully implicit coupling method, converges at a faster rate than the semi-implicit coupling and the partially parabolized Navier-Stokes procedures.