Finite difference computation of pressure and wave-drag of slender bodies of revolution at transonic speeds with zero-lift

Abstract

The pressure, the wave-drag and the positions of shock-wave of slender bodies of revolution at transonic speeds with zero-lift are obtained by solving the transonic axisymmetric potential equation with large disturbance in the free stream direction and small disturbance in the transverse direction, using the Murman-Cole schemes of finite differences. The computed results for three different configurations agree well with known wind tunnel test results. A linearized analysis of the stability and the convergence of line overrelaxation of the difference equations for steady axisymmetric small perturbation potential flow is made. The numerical experiences do agree with the theoretical conclusions.