可压缩球涡和平面激波相互作用的数值研究

行进了可压缩球涡和平面激波相互作用的数值研究。一方面，用非定常Ｅｕｌｅｒ方程数值模拟了一种可压缩球涡的自身演化，同时，利用Ｒａｎｋｉｎｅ－Ｈｕｇｏｎｉｏｔ关系，在流场中嵌入运动激波，求解了激波－球涡相干的流动过程。

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 numerically investigated by solving the unsteady Euler equations using the finite difference method. A compressible spherical vortex was constructed by time-advancing the equations of motion with properly prescribed initial conditions. The planar shock wave was set at a position initially far upstream to 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 processes of time progressing in the different ranges of shock Mach number and vortex strength. In particular, the shock-branching and dramatic vortex deformation were observed for the cases of strong shock-vortex interactions.