A stabilized finite element formulation for the transonic small-disturbance system

A stabilized nite element formulation for the transonic small-disturbance system of equations is devel- oped and used to solve a variety of problems in transonic aerodynamics. An adaptive mesh re nement technique and a common discontinuity capturing operator are used to resolve regions with large gradients in the velocity eld. The scheme works well in both ow regimes, subsonic and supersonic, and captures shocks naturally. Agreement with available experimental observations and theoretical approximations is very good