A Spline Relaxation Procedure for Calculating Axisymmetric Flow Fields about Body/Propeller Combinations. I. Frozen Vorticity and Potential Flows

摘要

A general numerical solution method is presented for calculating incompressible axisymmetric viscous/turbulent flow in the tail-near wake region of a body-propeller combination. The method makes use of the parabolic vorticity transport approximation in conjunction with polynomial splines to achieve sufficient accuracy in high flow gradient regions with as few grid points as possible. A sheared body fitted coordinate system is used and the numerical solution of the finite difference equations is obtained by standard line overrelaxation. This report presents the details of the method for the first phase of the work where the vorticity transport equation is omitted (frozen vorticity flow). Sample potential flow and frozen vorticity solutions are presented with no propeller present. (Author)