Numerical Solution of Transonic Flows about Quasi-Cylindrical Configurations

Analysis In order to describe the method, we consider the transonic small disturbance equation in terms of the perturbation potential and assume a configuration with one plane of symmetry. In a polar coordinate system, where the angle 0 is zero in the vertical direction, the problem is described by the equation [l-M^-Mx,(y+l)Ox]Ox;c + (I)rr + (l/r)a> r^-(l/r)^ (1) with the boundary condition, along a cylindrical surface r = R, (j>r(x, R, 9) = (d/dx)r(x, 9), where r(x, 9} has the general form