A NUMERICAL STUDY ON THE INTERACTION BETWEEN A MOVING SHOCK-WAVE AND A SPHERICAL VORTEX

The interaction of a planar shock wave with a spherical vortex was num erically investigated by solving the unsteady Eulerian equations using the finite difference method. A compressible spherical vortex was con structed by time-advancing the equations of motion with properly presc ribed initial conditions. The planar shock wave was set initially at a position far upstream of the vortex and then moved toward the vortex with its plane perpendicular to the vortex axis. Different regimes of the shock-vortex interactions were observed during the time-integratio n with various ranges of shock Mach number and vortex strength. In par ticular, the shock-branching and noticeable vortex deformation were ob served in the cases of strong shock-vortex interactions.