Axisymmetric potential flow calculations. part 1: analysis mode

Abstract

Using a natural body-fitted co-ordinate system, based on the streamlines, incompressible potential flow over an axisymmetric body at zero incidence is formulated as a Dirichlet boundary-value problem for the unknown co-ordinate r(x, ψ ). Flow over various body shapes is computed using a finite-difference scheme and SLOR, on both uniform and clustered grids. The results show excellent agreement with previous researchers. The coding is very simple, the formulation can be extended to compressible flows and can also be used to solve the inverse problem.