3-DIMENSIONAL FLOW COMPUTATIONS WITH SHOCK FITTING

The present paper provides a shock-fitting technique for solving invis cid transonic three-dimensional (3-D) flows. The continuous flow field is computed by means of an implicit fast Euler solver, which separate ly integrates compatibility conditions, written in terms of generalize d Riemann variables along appropriate bicharacteristic lines. The cont inuous 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 t echnique, 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 approac h are demonstrated by means of a few simple applications and by compar ison with corresponding results computed using a flux-difference split ting methodology.