Three Dimensional Flow Computations with Shock Fitting

The present paper provides a shock-fitting technique for solving inviscid transonic three-dimensional (3-D) flows. The continuous flow field is computed by means of an implicit fast Euler solver, which separately integrates compatibility conditions, written in terms of generalized Riemann variables along appropriate bicharacteristic lines. The continuous 3-D flow problem is thus reduced to a sequence of simple quasi 1-D problems. The shock wave is computed by means of a shock-fitting technique, which enforces the proper shock jumps by an explicit use of the Rankine-Hugoniot equations. The computed shock thus develops into a discontinuity as it is in reality. The merits of the present approach are demonstrated by means of a few simple applications and by comparison with corresponding results computed using a flux-difference splitting methodology