Problems and Results of the Integral Equation Method for Transonic Flows
The basic idea of transonic integral equation which was first derived by Oswatitsch ,  is the following: The nonlinear differential operator governing the transonic flow problem is split into a linear elliptic operator and a nonlinear rest operator, which can be done in many different ways. Then the elliptic operator is transformed to Laplace operator by a linear coordinate transformation. Thus one obtains formally a Poisson equation, the right hand side being the unknown nonlinear rest term. By applying Green’ s formula one obtains the nonlinear Integral Equation.
Unable to display preview. Download preview PDF.