The Use of Shock-Fitting Techniques to Simulate Discontinuities in Transonic and Supersonic Flows

The study illustrates the possible advantages of using shock fitting techniques to solve transonic and supersonic flowfields. The governing equations are written in nonconservative form and solved by the Lambda scheme in the smooth regions of the flowfield. Shocks and contact discontinuities are solved explicitly, by an advanced version of a fitting technique, which allows accurate predictions of the location and propagation velocity of the discontinuities. Numerical tests are presented to show the capability of the technique to handle complex flow structures in both steady and unsteady regimes.