Inviscid flows over a cylinder Original Research Article

In this paper, we simulate steady inviscid flows over a cylinder using potential and stream functions, including entropy and vorticity corrections for incompressible, subsonic, transonic and supersonic flows. The present hierarchical formulation is equivalent to Euler equations satisfying conservation of mass, momentum and energy. Standard numerical schemes and iterative algorithms are used for the mixed type potential (or stream function) equation and for the convection equations of entropy and vorticity augmented with the proper artificial dissipation necessary for stability of computations. Typical results for a cylinder in uniform and shear flows are presented and the merits of the present approach are briefly discussed.