Vortical Solutions in Supersonic Corner Flows

Vortical solutions are investigated for inviscid supersonic steady flows,described by the steady-state Euler equations, that occur in the corner region generated by two orthogonal ramps. Complex shock interactions appear, with the formationof a vorticity field in t h ecornerregion and the vorticity itself converging into spiral singularities. Symmetric or asymmetric flow configurations are generated within symmetric corners. The Investigation iscarried out by anumerical technique based on aspace-marching procedurewith afinite volume approximation. The integration of the conservation laws allows for the correct numerical capturing of shocks and contact surfaces. A flux-difference-splitting procedure i sused for the calculation of the fluxes on the side wallsof the volumes, based on the hyperbolicity of the Euler equations for steady supersonic regimes. A high-order accuracy scheme is introduced foundedon the essentially nonoscillatory(ENO) scheme. Numerical results are presented anddiscussed with reference to similar problems investigated by other authors