Abstract: An integral equation method to solve the full potential equation for transonic flow is formulated. Green's theorem is used to transform the full potential equation to an integral equation. A shock-capturing with shock-fitting scheme is developed in the supercritical transonic flow. An upwind technique is adopted to capture the shock. An iterative procedure is used to obtain the numerical results. This method is applied to NACA 0012 airfoil over a wide range of Mach numbers. The results are in good agreement with those results obtained by other method.

Key words: transonic flow, integral equation, full potential equation, shock-capturing, shock-C tong